Probability: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 6.3 Probability, 2019–2025, with its mark scheme and examiner’s report.

All 177 questions on Probability, as a list

June 2025 (R), Paper 1 Foundation, Q2 (3 marks): Freya has four cards. There is a number on each card. 1 2 4 5 Freya is going to pick at random one of these cards. (a) Circle the word in the box below that bes
June 2025 (R), Paper 1 Foundation, Q19 (5 marks): Here is a biased 5-sided spinner. When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow. blue yellow green purple red Th
June 2025 (R), Paper 1 Higher, Q4 (5 marks): Here is a biased 5-sided spinner. When the spinner is spun, it can land on blue or on green or on purple or on red or on yellow. blue yellow green purple red Th
June 2025 (R), Paper 1 Higher, Q19 (3 marks): Kannika has 9 counters. There is a number on each counter. 1 1 2 3 3 3 5 6 6 Kannika puts the 9 counters in a bag. She takes at random a counter from the bag an
June 2025 (R), Paper 2 Foundation, Q9 (3 marks): Remy chooses one food item and one drink for his breakfast. He can choose one food item from cereal (C) or fruit (F) or a pastry (P) He can choose one drink fro
June 2025 (R), Paper 2 Foundation, Q15 (3 marks): Joseph has some counters in a bag. 7 of the counters are red 5 of the counters are blue The rest of the counters are green Joseph is going to take at random a c
June 2025 (R), Paper 2 Higher, Q14 (7 marks): Sara has two bags, A and B In bag A, there are only 5 red beads and 4 green beads. In bag B, there are only 7 red beads and 3 green beads. Sara takes at random
June 2025 (R), Paper 2 Higher, Q20 (4 marks): The histogram gives some information about the weights, in grams, of some books. Frequency density 0 0 100 200 300 400 500 600 700 Weight (grams) 75 books weigh
June 2025, Paper 1 Foundation, Q9 (4 marks): Tamsin asked some people how they prefer their eggs cooked. They could choose scrambled or boiled or poached or fried. The pie chart shows some information abou
June 2025, Paper 1 Foundation, Q16 (3 marks): Some students were asked if they study French (F) or Spanish (S) The Venn diagram gives information about the results. The values shown represent numbers of stu
June 2025, Paper 1 Higher, Q14 (4 marks): Ricardo is going to play one game of badminton and one game of tennis. He can either win or lose each game. The probability that he will win the game of badmint
June 2025, Paper 1 Higher, Q21 (3 marks): A box contains 20 counters. 9 of the counters are red 7 of the counters are yellow 4 of the counters are green Alex takes at random three counters from the box.
June 2025, Paper 2 Foundation, Q11 (4 marks): The children at a holiday club play sport either on Monday or on Tuesday. They each choose one sport from tennis or athletics or cricket. The two‑way table show
June 2025, Paper 2 Foundation, Q28 (3 marks): Khalid has a box of counters. 17 of the counters are red 28 of the counters are blue the rest of the counters are orange Khalid is going to take at random a cou
June 2025, Paper 2 Higher, Q11 (3 marks): Khalid has a box of counters. 17 of the counters are red 28 of the counters are blue the rest of the counters are orange Khalid is going to take at random a cou
June 2025, Paper 2 Higher, Q20 (6 marks): 120 gardeners were asked if they grow carrots (C) or potatoes (P) or tomatoes (T) Of these gardeners 43 grow carrots 12 grow carrots and potatoes and tomatoes 1
November 2024, Paper 1 Foundation, Q8 (3 marks): There are 80 cars in a car park. 27 of the cars are red 10 of the cars are blue the rest of the cars are white One of the cars in the car park is chosen at rand
November 2024, Paper 1 Foundation, Q14 (4 marks): Kate has a fair triangular spinner and a fair square spinner. 3 2 4 2 6 4 1 The triangular spinner can land on 2 or 4 or 6 The square spinner can land on 1 or 2
November 2024, Paper 1 Higher, Q13 (4 marks): The probability that Thomas gets to work early on Saturday is 0.7 If Thomas gets to work early on Saturday, the probability that he will get to work early on Su
November 2024, Paper 2 Foundation, Q21 (4 marks): Cody has a biased 5-sided spinner, numbered 1, 2, 3, 4, 5 The table gives the probabilities that when the spinner is spun it will land on 2 or on 3 or on 5 Numb
November 2024, Paper 2 Higher, Q5 (4 marks): Cody has a biased 5-sided spinner, numbered 1, 2, 3, 4, 5 The table gives the probabilities that when the spinner is spun it will land on 2 or on 3 or on 5 Numb
June 2024 (R), Paper 1 Foundation, Q17 (4 marks): Here is a biased spinner. 3 4 2 5 1 The table gives information about the probability that, when the spinner is spun once, it will land on each number. Number 1
June 2024 (R), Paper 1 Higher, Q2 (4 marks): Here is a biased spinner. 3 4 2 5 1 The table gives information about the probability that, when the spinner is spun once, it will land on each number. Number 1
June 2024 (R), Paper 1 Higher, Q21 (5 marks): There are 25 counters in a bag such that 6 counters are blue x counters are orange, where x > 9 the rest of the counters are pink Maalam takes at random two of
June 2024 (R), Paper 2 Foundation, Q11 (5 marks): A café sells 4 different types of cake. carrot (C) fruit (F) lemon (L) madeira (M) Nala is going to choose 2 different types of cake. (a) Write down all the pos
June 2024 (R), Paper 2 Higher, Q14 (3 marks): Adriana is going to roll a biased dice and spin a biased coin. The probability that the coin will land on Heads is 0.8 The probability that the dice will land o
June 2024, Paper 1 Foundation, Q3 (3 marks): A box contains 10 balls. 5 balls are black 3 balls are green 2 balls are red Rema is going to take at random a ball from the box. (a) On the probability scale,
June 2024, Paper 1 Foundation, Q10 (3 marks): There are 29 cars in a car park. 10 of the cars are red. The rest of the cars are white or blue. Sasha selects at random one of these cars. (a) Write down the p
June 2024, Paper 1 Foundation, Q12 (4 marks): The table shows information about the number of school lunches each of 30 students had in one week. Number of Frequency school lunches 0 2 1 5 2 11 3 7 4 4 5 1
June 2024, Paper 1 Foundation, Q17 (4 marks): 450 students were asked how they travelled to school on Monday. Each student walked or travelled by bus or travelled by car or travelled by bicycle. Each studen
June 2024, Paper 1 Higher, Q2 (4 marks): 450 students were asked how they travelled to school on Monday. Each student walked or travelled by bus or travelled by car or travelled by bicycle. Each studen
June 2024, Paper 1 Higher, Q13 (5 marks): Harman has two bags of beads. In bag A, there are 3 white beads and 7 black beads. In bag B, there are 5 white beads and 4 black beads. Harman takes at random a
June 2024, Paper 1 Higher, Q16 (4 marks): There are 20 sweets in a box. 15 of the sweets are red 5 of the sweets are yellow Fred takes at random 3 sweets from the box. Work out the probability that Fred
June 2024, Paper 2 Foundation, Q5 (4 marks): Percy has two fair spinners. Spinner A is 4-sided and can land on 1, 1, 2 or 3 Spinner B is 5-sided and can land on 5, 7, 8, 9 or 11 5 1 7 3 11 1 8 2 9 Spinner
June 2024, Paper 2 Foundation, Q13 (2 marks): Tom wants to knit an item for a baby. He can knit a jumper (J) or a blanket (B) or a hat (H) or some socks (S) He can knit using white wool (W) or using yellow
June 2024, Paper 2 Higher, Q16 (7 marks): 60 art students were asked if they would like to attend workshops for knitting (K), for photography (P) or for embroidery (E) Of these students 9 chose knitti
November 2023, Paper 1 Foundation, Q8 (2 marks): There are four teams in a cricket competition. The teams are Australia (A) England (E) Pakistan (P) West Indies (W) Each team will play every other team once. W
November 2023, Paper 1 Foundation, Q10 (6 marks): The table gives information about the number of rewards gained by each of 50 students last term. Number of rewards Frequency 0 3 1 9 2 15 3 18 4 4 5 1 (a) Write
November 2023, Paper 1 Foundation, Q18 (4 marks): A biased spinner has three sections each of a different colour. The table shows the probability that, when the spinner is spun once, it will land on blue or on
November 2023, Paper 1 Higher, Q4 (4 marks): A biased spinner has three sections each of a different colour. The table shows the probability that, when the spinner is spun once, it will land on blue or on
November 2023, Paper 1 Higher, Q20 (4 marks): A bag contains only 10 cent coins and 20 cent coins. Josip takes at random a coin from the bag, records its value and replaces it in the bag. He then takes at r
November 2023, Paper 2 Foundation, Q5 (2 marks): There are 8 counters in a bag. 6 of these counters are orange. The rest of the counters are purple. Delilah takes at random a counter from the bag. (i) On the p
November 2023, Paper 2 Higher, Q11 (5 marks): Sid has 2 boxes of crayons, box X and box Y 5 of the 16 crayons in box X are red. 7 of the 20 crayons in box Y are red. Sid takes at random one crayon from box
June 2023 (R), Paper 1 Foundation, Q2 (3 marks): The diagram shows a fair spinner with six sections. Red Red Red Blue Yellow Blue Three sections are red, two sections are blue and one section is yellow. imposs
June 2023 (R), Paper 1 Foundation, Q21 (2 marks): Each time Evie plays a game against her computer, she will win or lose. For each game, the probability that Evie will win is 0.74 Evie is going to play 300 game
June 2023 (R), Paper 1 Foundation, Q28 (5 marks): Moeen has a biased 6-sided dice. The table gives information about the probability that, when the dice is thrown, it will land on each number. Number 1 2 3 4 5
June 2023 (R), Paper 1 Higher, Q5 (2 marks): Each time Evie plays a game against her computer, she will win or lose. For each game, the probability that Evie will win is 0.74 Evie is going to play 300 game
June 2023 (R), Paper 1 Higher, Q12 (5 marks): Moeen has a biased 6-sided dice. The table gives information about the probability that, when the dice is thrown, it will land on each number. Number 1 2 3 4 5
June 2023 (R), Paper 1 Higher, Q13 (3 marks): Novak is going to play two games of tennis. The probability that he wins the first game is 0.7 If he wins the first game, the probability that he wins the secon
June 2023 (R), Paper 2 Higher, Q15 (3 marks): Osvaldo has a biased coin. He spins the coin three times. The probability that the coin lands on a head three times is 27 64 Work out the probability that the c
June 2023 (R), Paper 2 Higher, Q19 (4 marks): 30 adults booked to stay in a hotel. 19 adults booked breakfast 15 adults booked dinner 4 adults did not book breakfast or dinner Some adults booked breakfast a
June 2023, Paper 1 Foundation, Q10 (4 marks): There are 30 counters in a bag. 13 of the counters are purple. 11 of the counters are white. The rest of the counters are red. Suha takes at random a counter fr
June 2023, Paper 2 Foundation, Q7 (3 marks): The diagram shows a fair 6-sided spinner. yellow green yellow red yellow red Mario spins the arrow on the spinner once. impossible unlikely evens likely certain
June 2023, Paper 2 Foundation, Q18 (3 marks): A biased spinner can land on green or on yellow or on brown or on pink. The table gives the probabilities that, when the spinner is spun, it will land on green
June 2023, Paper 2 Higher, Q2 (3 marks): A biased spinner can land on green or on yellow or on brown or on pink. The table gives the probabilities that, when the spinner is spun, it will land on green
June 2023, Paper 2 Higher, Q13 (4 marks): Narin has two fair 6-sided dice. Dice A has 2 red faces and 4 yellow faces. Dice B has 1 red face and 5 yellow faces. Narin is going to throw each dice once. (a
June 2023, Paper 2 Higher, Q20 (3 marks): There are 12 counters in a bag. 3 of the counters are red 9 of the counters are green Ameya, Jack and Ella each take at random one counter from the bag. Work ou
January 2023 (R), Paper 1 Foundation, Q2 (3 marks): Here are 6 counters. Each counter has a number on it. 1 2 2 3 3 3 Finn takes at random one of these counters. (i) Select with a tick (ü) the word that best desc
January 2023 (R), Paper 1 Foundation, Q8 (5 marks): The two‑way table shows some information about the desserts chosen at lunch yesterday by the 80 students from Year 5 and Year 6. Each student chose one dessert
January 2023 (R), Paper 2 Foundation, Q8 (2 marks): Linford is going to take part in an athletics competition. He can choose one event from List A and one event from List B List A List B Discus (D) Long Jump (L)
January 2023 (R), Paper 2 Foundation, Q12 (5 marks): 30 children were asked whether they have a cat (C ) or a dog (D) Of the 30 children 5 have both a cat and a dog 13 have a dog 11 have only a cat (a) Complete th
January 2023 (R), Paper 2 Foundation, Q20 (4 marks): In a bag, there are only red counters, blue counters, green counters and yellow counters. The total number of counters in the bag is 80 In the bag the number of
January 2023 (R), Paper 2 Higher, Q6 (4 marks): In a bag, there are only red counters, blue counters, green counters and yellow counters. The total number of counters in the bag is 80 In the bag the number of
January 2023 (R), Paper 2 Higher, Q17 (5 marks): The table gives information about the time taken by each student in Year 11 to complete a homework task. Time taken (t minutes) Frequency 15 10 < t  25 18 25 <
January 2023, Paper 1 Foundation, Q5 (4 marks): Adam has 8 packets of noodles. Here is the flavour of noodles in each packet. Hot and Spicy Curry Vegetarian Hot and Spicy Curry Hot and Spicy Curry Hot and Spi
January 2023, Paper 1 Foundation, Q9 (3 marks): Avner has two fair spinners. 4 2 3 1 1 3 2 Spinner A Spinner B Spinner A can land on 1, 2 or 3 Spinner B can land on 1, 2, 3 or 4 Avner multiplies the number on
January 2023, Paper 1 Foundation, Q22 (4 marks): Some members of a library were asked to name the type of book that they each liked to read the best. One of the members is chosen at random. The table shows inf
January 2023, Paper 1 Higher, Q7 (4 marks): Some members of a library were asked to name the type of book that they each liked to read the best. One of the members is chosen at random. The table shows inf
January 2023, Paper 1 Higher, Q15 (7 marks): Here are 9 cards. Each card has either a number on it or a letter on it. A 7 H F E D G 5 C Tomas is playing a game. Tomas takes at random one of the cards and k
January 2023, Paper 2 Higher, Q18 (5 marks): The table gives information about the weights, in kg, of the parcels that Pedro delivers on Monday. Weight (w kg) Frequency 0 < w  2 12 2 < w  3 7 3 < w  6 1
June 2022 (R), Paper 1 Foundation, Q17 (4 marks): Here is a biased spinner. red green yellow purple When the spinner is spun once, the probabilities that it lands on red or on yellow or on green are given in th
June 2022 (R), Paper 1 Higher, Q1 (4 marks): Here is a biased spinner. red green yellow purple When the spinner is spun once, the probabilities that it lands on red or on yellow or on green are given in th
June 2022 (R), Paper 1 Higher, Q24 (5 marks): Elliot has x counters. Each counter has one red face and one green face. Elliot spreads all the counters out on a table and sees that the number of counters sho
June 2022 (R), Paper 2 Foundation, Q12 (5 marks): Mario is going to play two games on Saturday. He will play one game on Saturday morning and one game on Saturday afternoon. The following table shows the games
June 2022 (R), Paper 2 Higher, Q14 (3 marks): Ciara throws four fair six‑sided dice. The faces of each dice are labelled with the numbers 1, 2, 3, 4, 5, 6 Work out the probability that at least one of the d
June 2022, Paper 1 Foundation, Q3 (3 marks): Here is a probability scale. 0 0.5 1 A B C D In a fruit bowl, there are only 3 bananas 7 pears Shimon is going to take at random one of the fruits from the bowl
June 2022, Paper 1 Foundation, Q10 (3 marks): Anjali wants to go on a boat at the seaside. At the seaside there are 20 boats. Of these boats 2 are white 5 are blue 7 are green 6 are yellow Anjali selects at
June 2022, Paper 1 Foundation, Q12 (4 marks): The table gives information about the number of gold stars won by each of 25 students in class 7T last week. Number of gold stars Number of students 0 6 1 5 2 4
June 2022, Paper 1 Foundation, Q17 (4 marks): Here is a biased 4-sided spinner. 3 4 2 1 The table gives the probabilities that, when the spinner is spun once, it will land on 1 or it will land on 3 Number 1
June 2022, Paper 1 Higher, Q2 (4 marks): Here is a biased 4-sided spinner. 3 4 2 1 The table gives the probabilities that, when the spinner is spun once, it will land on 1 or it will land on 3 Number 1
June 2022, Paper 1 Higher, Q12 (4 marks): Rudolf goes to the gym. The probability that he will use the treadmill is 0.8 When he uses the treadmill, the probability that he will use the cross trainer is
June 2022, Paper 1 Higher, Q15 (4 marks): Abraham is going to play a computer game. Abraham can win the game, draw the game or lose the game. For any game that Abraham plays the probability that he wins
June 2022, Paper 2 Foundation, Q5 (4 marks): Jian has two fair spinners. Spinner A is 3-sided and can land on 1, 2 or 3 Spinner B is 5-sided and can land on 2, 4, 6, 8 or 10 2 4 2 1 10 6 8 3 Spinner A Spin
June 2022, Paper 2 Foundation, Q13 (2 marks): Hazel is buying a snack and a drink. She can have a bar of chocolate (B) or some fruit (F) or a packet of crisps (C) as her snack. She can have orange juice (O)
June 2022, Paper 2 Higher, Q16 (8 marks): 100 farmers are asked if they have goats (G), sheep (S) or chickens (C) on their farms. Of these farmers 31 have sheep 53 have chickens 6 have goats, sheep and
January 2022 (R), Paper 1 Foundation, Q4 (5 marks): 40 people were asked to name their favourite type of holiday. The pictogram gives information about the number of these people who said each of City Break or Be
January 2022 (R), Paper 1 Foundation, Q16 (2 marks): Each time John plays a game, the probability that he wins the game is 0.65 John is going to play the game 300 times. Work out an estimate for the number of game
January 2022 (R), Paper 1 Higher, Q2 (2 marks): Each time John plays a game, the probability that he wins the game is 0.65 John is going to play the game 300 times. Work out an estimate for the number of game
January 2022 (R), Paper 1 Higher, Q13 (7 marks): Hector has a bag that contains 12 counters. There are 7 green counters and 5 red counters in the bag. Hector takes at random a counter from the bag. He looks at
January 2022 (R), Paper 2 Foundation, Q11 (2 marks): At school each week, Gabriella has to play a sport on Monday and a sport on Thursday. The table shows the sports from which she can choose on Monday and the spo
January 2022 (R), Paper 2 Foundation, Q18 (4 marks): A tin contains tea bags with a choice of four different flavours of tea. The four flavours of tea are Assam or Darjeeling or Nilgiri or Rize. Sara takes at rand
January 2022 (R), Paper 2 Higher, Q1 (4 marks): A tin contains tea bags with a choice of four different flavours of tea. The four flavours of tea are Assam or Darjeeling or Nilgiri or Rize. Sara takes at rand
January 2022, Paper 1 Foundation, Q6 (6 marks): Bohai works in a shop that sells mobile phones. Last week he sold one mobile phone to each of 300 customers. The incomplete two‑way table shows some information
January 2022, Paper 1 Higher, Q14 (4 marks): Aika has 2 packets of seeds, packet A and packet B There are 12 seeds in packet A and 7 of these are sunflower seeds. There are 15 seeds in packet B and 8 of th
January 2022, Paper 2 Foundation, Q3 (3 marks): The diagram shows a fair 8-sided spinner. red yellow red green red green red green Hollie is going to spin the spinner once. impossible unlikely evens likely ce
January 2022, Paper 2 Foundation, Q10 (2 marks): In a library there are two trolleys of books. On trolley 1 the subjects of the books are Buildings (B), Rivers (R) and Space (S). On trolley 2 the subjects of t
January 2022, Paper 2 Foundation, Q21 (5 marks): A bag contains only pink sweets, white sweets, green sweets and red sweets. The table gives each of the probabilities that, when a sweet is taken at random from
January 2022, Paper 2 Higher, Q6 (5 marks): A bag contains only pink sweets, white sweets, green sweets and red sweets. The table gives each of the probabilities that, when a sweet is taken at random from
January 2022, Paper 2 Higher, Q20 (4 marks): The histogram gives information about the heights, h cm, of some tomato plants. Frequency density 0 50 60 70 80 90 Height (h cm) There are 12 tomato plants for
November 2021, Paper 1 Foundation, Q15 (4 marks): There are 54 fish in a tank. Some of the fish are white and the rest of the fish are red. Jeevan takes at random a fish from the tank. The probability that he t
November 2021, Paper 1 Higher, Q3 (4 marks): There are 54 fish in a tank. Some of the fish are white and the rest of the fish are red. Jeevan takes at random a fish from the tank. The probability that he t
November 2021, Paper 1 Higher, Q15 (8 marks): Magnus and Garry play 2 games of chess against each other. The probability that Magnus beats Garry in any game is 2 9 The probability that any game between Magn
November 2021, Paper 1 Higher, Q16 (5 marks): There are 32 students in a class. In one term these 32 students each took a test in Maths (M), in English (E) and in French (F). 25 students passed the test in
November 2021, Paper 2 Foundation, Q15 (5 marks): E = {2, 4, 6, 8, 10, 12, 14, 16, 18} X = {4, 8, 12, 16} Y = {6, 12, 18} (a) Complete the Venn diagram for this information. E X Y A number is chosen at random f
November 2021, Paper 2 Foundation, Q19 (5 marks): The table gives information about the amounts of money, in euros, that 70 of Anjali’s friends spent last Saturday. Money spent (S euros) Frequency 6 0 < S  8 1
November 2021, Paper 2 Higher, Q3 (5 marks): The table gives information about the amounts of money, in euros, that 70 of Anjali’s friends spent last Saturday. Money spent (S euros) Frequency 6 0 < S  8 1
November 2021, Paper 2 Higher, Q14 (5 marks): Manuel collected information about the flights that arrived late at an airport last month. The table gives information about the number of minutes that these fl
November 2021, Paper 2 Higher, Q16 (3 marks): A box contains 15 counters. There are 4 red counters, 5 green counters and the rest are yellow counters. Niklas takes at random a counter from the box and write
June 2021, Paper 1 Foundation, Q21 (5 marks): Grace has a biased 5-sided spinner. pink orange green red blue Grace is going to spin the arrow on the spinner once. The table below gives the probabilities tha
June 2021, Paper 1 Higher, Q6 (5 marks): Grace has a biased 5-sided spinner. pink orange green red blue Grace is going to spin the arrow on the spinner once. The table below gives the probabilities tha
June 2021, Paper 2 Foundation, Q7 (2 marks): Hassan is going to eat at a restaurant. Here is the menu at the restaurant. Starter Main course Burger (B) Fruit (F) Curry (C) Prawns (P) Lasagne (L) Soup (S) R
June 2021, Paper 2 Foundation, Q13 (3 marks): There are some counters in a bag. 7 of the counters are blue. 5 of the counters are green. The rest of the counters are yellow. One counter is going to be taken
June 2021, Paper 2 Higher, Q13 (8 marks): Emilie takes part in two races. The probability that she wins the first race is 0.7 The probability that she wins the second race is 0.4 The outcomes of the two
June 2021, Paper 2 Higher, Q23 (5 marks): Pippa has a box containing N pens. There are only black pens and red pens in the box. The number of black pens in the box is 3 more than the number of red pens.
January 2021 (R), Paper 1 Foundation, Q2 (4 marks): Caroline has a bag containing 10 counters. In the bag there are 7 red counters 2 blue counters 1 green counter Caroline is going to choose at random a counter f
January 2021 (R), Paper 1 Foundation, Q14 (5 marks): E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {2, 4, 6, 8, 10, 12} B = {3, 6, 9, 12} (a) Complete the Venn diagram below for the sets E, A and B. E A B One of
January 2021 (R), Paper 2 Higher, Q16 (5 marks): Two events A and B are such that n(A) = 62 n(B) = 30 and n(A ∪ B) = 68 Given that n(E ) = 80 (a) complete the Venn diagram to show the number of elements in eac
January 2021 (R), Paper 2 Higher, Q21 (6 marks): A bag contains n beads. 6 of the beads are red and the rest are blue. Ravi is going to take at random 2 beads from the bag. The probability that the 2 beads wil
January 2021, Paper 1 Foundation, Q2 (3 marks): Sandeep is designing some 3‑sided spinners. He is going to spin each spinner once. (a) (i) Write a different number on each dotted line so that when the spinner
January 2021, Paper 1 Foundation, Q8 (4 marks): The two‑way table shows some information about the 60 noodle meals eaten in a noodle bar by each of 60 people last Friday. Type of noodle Ramen Soba Udon Total
January 2021, Paper 1 Foundation, Q15 (3 marks): A bag contains 30 coloured counters. The table gives the number of counters of each colour. Colour Red Green Yellow Blue Number of counters 7 13 4 6 One of the
January 2021, Paper 1 Higher, Q14 (5 marks): Ding is going to play one game of snooker against each of two of his friends, Marco and Judd. The probability tree diagram gives information about the probabili
January 2021, Paper 2 Foundation, Q9 (4 marks): Grace has a fair spinner and a fair dice. The spinner is 3-sided and can land on 6, 7 or 8 The dice can land on 1, 2, 3, 4, 5 or 6 6 7 8 Grace spins the spinner
November 2020 (R), Paper 1 Foundation, Q4 (4 marks): There are 12 beads in a bag. 6 of the beads are green 4 of the beads are blue 2 of the beads are pink Peter takes at random a bead from the bag. (a) Circle the
November 2020 (R), Paper 1 Foundation, Q8 (4 marks): There are 150 people at an international conference. These 150 people were each asked to say what their main method of transport was to get to the conference. T
November 2020 (R), Paper 1 Higher, Q23 (4 marks): In a bag, there are only 3 blue beads 4 white beads and x orange beads. Jean is going to take at random two beads from the bag. The probability that Jean will
November 2020 (R), Paper 2 Foundation, Q14 (6 marks): Here are two fair spinners. 1 3 2 3 1 4 2 Spinner A Spinner B Chanthira spins each spinner once. She adds together the number that spinner A lands on and the nu
November 2020 (R), Paper 2 Higher, Q1 (2 marks): The probability that a spinner will land on blue is 0.4 Rayyan is going to spin the spinner 280 times. Work out an estimate for the number of times the spinner
November 2020, Paper 1 Foundation, Q14 (4 marks): The numbers from 1 to 14 are shown in the Venn diagram. E 9 A 1 B 13 2 8 3 6 11 4 14 12 10 7 5 (a) List the members of the set A ∩ B (b) List the members of the
November 2020, Paper 1 Foundation, Q15 (4 marks): Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds. For the toy cars made each day, the probabili
November 2020, Paper 1 Higher, Q1 (4 marks): The numbers from 1 to 14 are shown in the Venn diagram. E 9 A 1 B 13 2 8 3 6 11 4 14 12 10 7 5 (a) List the members of the set A ∩ B (b) List the members of the
November 2020, Paper 1 Higher, Q2 (4 marks): Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds. For the toy cars made each day, the probabili
November 2020, Paper 1 Higher, Q15 (5 marks): Harry has two fair 5-sided spinners. red red red red green green green red green red Spinner A Spinner B Harry is going to spin each spinner once. (a) Complete
November 2020, Paper 2 Higher, Q20 (5 marks): A bag contains X counters. There are only red counters and blue counters in the bag. There are 4 more blue counters than red counters in the bag. Finty takes at
January 2020 (R), Paper 1 Foundation, Q7 (5 marks): Mohsen is going to a party. He will choose at random one shirt from the three shirts and one pair of trousers from the three pairs of trousers in the list below
January 2020 (R), Paper 1 Higher, Q16 (4 marks): Steffi is going to play one game of tennis and one game of chess. The probability that she will win the game of tennis is 0.6 The probability that she will win
January 2020 (R), Paper 2 Foundation, Q2 (4 marks): Egor rolled a dice 24 times. Here are his results. 2 3 5 4 6 2 1 3 3 5 1 3 3 5 5 6 2 5 4 3 4 3 3 4 (a) Complete the frequency table for Egor’s results. Number o
January 2020 (R), Paper 2 Foundation, Q8 (6 marks): Lin has 60 bricks. He puts his 60 bricks into a bag. Some information about the 60 bricks is shown in the two-way table. orange blue yellow Total small 7 14 lar
January 2020 (R), Paper 2 Higher, Q16 (8 marks): Cody has two bags of counters, bag A and bag B. Each of the counters has either an odd number or an even number written on it. There are 10 counters in bag A an
January 2020 (R), Paper 2 Higher, Q17 (6 marks): Some students in a school were asked the following question. “ Do you have a dog (D), a cat (C) or a rabbit (R)?” Of these students 28 have a dog 18 have a cat
January 2020, Paper 1 Foundation, Q5 (2 marks): Paul is buying a sandwich and a drink in a meal deal. He can have a cheese sandwich (C) or an egg sandwich (E) or a tomato sandwich (T). He can have orange juic
January 2020, Paper 1 Foundation, Q17 (7 marks): The table shows information about the weights, in kilograms, of 40 babies. Weight (w kg) Frequency 12 2 < w  3 16 3 < w  4 9 4 < w  5 2 5 < w  6 1 6 < w  7
January 2020, Paper 1 Higher, Q4 (7 marks): The table shows information about the weights, in kilograms, of 40 babies. Weight (w kg) Frequency 12 2 < w  3 16 3 < w  4 9 4 < w  5 2 5 < w  6 1 6 < w  7
January 2020, Paper 1 Higher, Q18 (4 marks): There are 16 sweets in a bowl. 4 of the sweets are blackcurrant. 5 of the sweets are lemon. 7 of the sweets are orange. Anna, Ravi and Sam each take at random o
January 2020, Paper 2 Foundation, Q9 (5 marks): There are 25 pens in a packet. 7 of the pens are green. 10 of the pens are black. The rest of the pens are red. Jurgen takes at random a pen from the packet. (a
January 2020, Paper 2 Foundation, Q22 (4 marks): A bag contains only red beads, blue beads, green beads and yellow beads. The table gives the probabilities that, when a bead is taken at random from the bag, th
January 2020, Paper 2 Higher, Q6 (4 marks): A bag contains only red beads, blue beads, green beads and yellow beads. The table gives the probabilities that, when a bead is taken at random from the bag, th
January 2020, Paper 2 Higher, Q14 (4 marks): There are 20 glasses in a cupboard. 13 of the glasses are large 7 of the glasses are small Roberto takes at random two glasses from the cupboard. (a) Complete t
January 2020, Paper 2 Higher, Q18 (5 marks): The histogram gives information about the times, in minutes, that some customers spent in a supermarket. 5 4 3 Frequency density 2 1 0 0 10 20 30 40 50 Time (mi
June 2019 (R), Paper 1 Foundation, Q9 (5 marks): A bag of 11 counters contains 3 purple counters 2 orange counters 6 white counters A counter is going to be taken at random from the bag. (a) Find the probabili
June 2019 (R), Paper 1 Higher, Q14 (6 marks): Each day that Barney goes to college, he either goes by bus or he walks. The probability that Barney will go to college by bus on any day is 0.3 When Barney goe
June 2019 (R), Paper 2 Foundation, Q4 (2 marks): Imran throws an ordinary fair dice. (a) On the probability scale, mark with a cross (x) the probability that the dice will land on 10 0.5 1 (b) On the probabili
June 2019 (R), Paper 2 Foundation, Q21 (3 marks): There are some ice lollies in a freezer. The flavour of each ice lolly is banana or strawberry or mint or chocolate. Julius takes at random an ice lolly from th
June 2019 (R), Paper 2 Higher, Q6 (3 marks): There are some ice lollies in a freezer. The flavour of each ice lolly is banana or strawberry or mint or chocolate. Julius takes at random an ice lolly from th
June 2019 (R), Paper 2 Higher, Q24 (5 marks): A box contains marbles. 4 of the marbles are red. The rest of the marbles are yellow. Antonia takes at random a marble from the box and does not replace it. Ser
June 2019, Paper 1 Foundation, Q4 (3 marks): The diagram shows a fair 6-sided spinner. red red green blue blue blue Rami is going to spin the spinner once. (a) Circle the word in the box below that best de
June 2019, Paper 1 Foundation, Q19 (4 marks): Becky has a biased 6-sided dice. The table gives information about the probability that, when the dice is thrown, it will land on each number. Number 1 2 3 4 5
June 2019, Paper 1 Higher, Q5 (4 marks): Becky has a biased 6-sided dice. The table gives information about the probability that, when the dice is thrown, it will land on each number. Number 1 2 3 4 5
June 2019, Paper 1 Higher, Q13 (7 marks): In group C, there are 6 girls and 8 boys. In group D, there are 3 girls and 7 boys. A team is made by picking at random one child from group C and one child fro
June 2019, Paper 2 Foundation, Q7 (6 marks): is 6 marks)
June 2019, Paper 2 Higher, Q23 (5 marks): Boris has a bag that only contains red sweets and green sweets. Boris takes at random 2 sweets from the bag. The probability that Boris takes exactly 1 red swee
January 2019 (R), Paper 1 Foundation, Q10 (6 marks): There are 20 beads in a box. 7 of the beads are red. 11 of the beads are green. The rest of the beads are yellow. Jan takes at random a bead from the box. (a) W
January 2019 (R), Paper 1 Higher, Q16 (5 marks): There are 12 beads in a bag. 7 of the beads are red. 3 of the beads are green. 2 of the beads are yellow. Lucy takes at random a bead from the bag and keeps it.
January 2019 (R), Paper 2 Foundation, Q6 (6 marks): 80 students studying sciences were asked which science subject they liked the best. Some information about the results is shown in the two-way table. Biology Ch
January 2019 (R), Paper 2 Foundation, Q19 (5 marks): Here is a Venn diagram with E = {whole numbers from 1 to 12} E A B 2 12 7 10 4 9 6 8 11 1 3 5 (a) List the numbers that are in set A (b) List the numbers that a
January 2019 (R), Paper 2 Higher, Q15 (5 marks): Barney has a biased coin. When the coin is thrown once, the probability that the coin will land heads is 0.3 Barney throws the coin 4 times. (a) Work out the pr
January 2019 (R), Paper 2 Higher, Q16 (4 marks): 120 people who visited a sports centre were asked if they went swimming (S), played basketball (B) or used the gym (G). Their answers showed that 28 people went
January 2019, Paper 1 Foundation, Q10 (3 marks): All the teachers at a school are either left footed or right footed. At the school the number of left footed teachers : the number of right footed teachers = 3
January 2019, Paper 1 Foundation, Q15 (5 marks): Here is a biased 5-sided spinner. red yellow blue brown green Kenny spins the spinner once. The table gives the probabilities that the spinner lands on red or o
January 2019, Paper 1 Higher, Q3 (4 marks): Here is a biased 5-sided spinner. red yellow blue brown green When the spinner is spun, it can land on red, blue, green, brown or yellow. The table gives the pr
January 2019, Paper 1 Higher, Q13 (5 marks): All the students in Year 11 at a school must study at least one of Geography (G), History (H) and Religious Studies (R). In Year 11 there are 65 students. Of th
January 2019, Paper 1 Higher, Q20 (6 marks): A bowl contains n pieces of fruit. Of these, 4 are oranges and the rest are apples. Two pieces of fruit are going to be taken at random from the bowl. The proba
January 2019, Paper 2 Foundation, Q2 (3 marks): The diagram shows a fair spinner. yellow red red red red red Mikail spins the arrow on the spinner once. impossible unlikely certain evens likely (a) Write down
January 2019, Paper 2 Foundation, Q6 (2 marks): Steve throws a 6-sided dice. The dice can land on 1 or on 2 or on 3 or on 4 or on 5 or on 6 He also spins a coin. The coin can land on heads (H) or on tails (T)
January 2019, Paper 2 Foundation, Q17 (4 marks): There are 90 counters in a bag. Each counter in the bag is either red or blue so that the number of red counters : the number of blue counters = 2 : 13 Li is go
January 2019, Paper 2 Higher, Q3 (4 marks): There are 90 counters in a bag. Each counter in the bag is either red or blue so that the number of red counters : the number of blue counters = 2 : 13 Li is go
January 2019, Paper 2 Higher, Q14 (5 marks): Marcus plays two games of tennis. For each game, the probability that Marcus wins is 0.35 (a) Complete the probability tree diagram. First game Second game Marc

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