1999 mathematics paper b
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This document contains a 1999 mathematics exam paper with 20 multiple choice and short answer questions. Some of the key topics covered include: fractions, percentages, time, probability, geometry, money, sequences, and word problems involving trips, soup cans, and model cars. The final question asks students to calculate the perimeter of a star shape made from 4 identical triangles.
1999 mathematics paper b
- 1. 1999 MATHS PAPER B
- 2. 1999 Mathematics Paper B Input your name and press send. Next Page
- 3. 1999 Mathematics Paper B Q1a Next Page 100 – ??? = 38 What is the missing number?
- 4. 1999 Mathematics Paper B Q1b Next Page Answers ? x ? = 65 What could the missing numbers be?
- 5. 1999 Mathematics Paper B Q1b Next Page ? x ? = 65 What could the missing numbers be? (b) Any two numbers which multiply to make 65, eg 13 × 5 Accept fractions and decimals, eg 6.5 × 10 OR 130 × ½. Accept 1 × 65 OR 65 × 1. KISS answer = ? K eep I t S imple S tupid!
- 6. 1999 Mathematics Paper B Q1a Next Page 160 ÷ ? = 40 What is the missing number?
- 7. 1999 Mathematics Paper B Q2 Next Page Answer key Write down two numbers which add up to 150
- 8. 1999 Mathematics Paper B Q2 Next Page Write down two numbers which add up to 150 63 AND 87 OR 64 AND 86 1 OR 65 AND 85 OR 66 AND 84 OR 67 AND 83 OR 73 AND 77 OR 74 AND 76
- 9. 1999 Mathematics Paper B Q3a Next Page These are the times letters are collected from a post box. What is the latest time letters are collected on Wednesday ?
- 10. 1999 Mathematics Paper B Q3b Next Page These are the times letters are collected from a post box. Carla posts a letter at 9 am on Monday . How many hours will it be before it is collected?
- 11. 1999 Mathematics Paper B Q3c Next Page These are the times letters are collected from a post box. Gareth posts a letter on Saturday at 3pm . On what day will it be collected from the post box? Monday Tuesday Wednesday Thursday Friday Saturday
- 12. 1999 Mathematics Paper B Q3c Next Page These are the times letters are collected from a post box. Gareth posts a letter on Saturday at 3pm . At what time on Monday will it be collected from the post box? XL File
- 13. 1999 Mathematics Paper B Q4a Next Page Millie and Ryan play a number game. What's my number? Is it under 20? Yes Is it a multiple of 3? Yes Is it a multiple of 5? Yes What is the number?
- 14. 1999 Mathematics Paper B Q4b Next Page Answers Millie and Ryan play a number game. What's my number? They play the game again. Is it under 20? No Is it under 25 ? Yes Is it odd Yes Is it a prime number? Yes What is the number?
- 15. 1999 Mathematics Paper B Q4a Next Page Millie and Ryan play a number game. What's my number? Is it under 20? Yes Is it a multiple of 3? Yes Is it a multiple of 5? Yes What is the number? Least Common Multiple 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
- 16. 1999 Mathematics Paper B Q4a Next Page Millie and Ryan play a number game. What's my number? Is it under 20? No Is it under 25 ? Yes Is it odd Yes Is it a prime number? Yes What is the number? Defining prime numbers 20 21 22 23 24
- 17. 1999 Mathematics Paper B Q5 Next Page Write in the four missing digits . Only one digit is represented by each ? – what is the digit? ?? + ?? = 198
- 18. 1999 Mathematics Paper B Q6a Next Page Here are five shapes on a square grid. Which shape has two pairs of parallel sides?
- 19. 1999 Mathematics Paper B Q6b Next Page Here are five shapes on a square grid. Which shape is a pentagon?
- 20. 1999 Mathematics Paper B Q6c Next Page Answers Here are five shapes on a square grid. Which shape has reflective symmetry?
- 21. 1999 Mathematics Paper B Q6c Next Page Here are five shapes on a square grid. Which shape has reflective symmetry? Which shape has two pairs of parallel sides? Which shape is a pentagon? Pent- means 5 e.g. 5 fingers hold a pen – thanks Rosion
- 22. 1999 Mathematics Paper B Q7a Next Page Tom, Amy and Helen want to go on a boat trip. There are three boats. How much does it cost altogether for three people to go on the Lark ? Answer using the decimal e.g. 4.25 {wrong answer}
- 23. 1999 Mathematics Paper B Q7b Next Page Tom, Amy and Helen want to go on a boat trip. There are three boats. Tom and Amy go on the Heron . They leave at 2:15pm . At what time do they return? { Answer like so: 8.45}
- 24. 1999 Mathematics Paper B Q7c Next Page Tom, Amy and Helen want to go on a boat trip. There are three boats. Helen goes on the Kestrel and gets back at 4:15pm . At what time did the boat leave? { Answer like so: 8.45} XL File
- 25. 1999 Mathematics Paper B Q8a Next Page Here is the calendar for August 1998. Simon's birthday is on August 20th . In 1998 he had a party on the Sunday after his birthday. What was the date of his party in August?
- 26. 1999 Mathematics Paper B Q8a Next Page Here is the calendar for August 1998. Tina's birthday is on September 9th . On what day of the week was her birthday in 1998? Monday Tuesday Wednesday Thursday Friday Saturday
- 27. 1999 Mathematics Paper B Q9 Next Page Write the number that is nearest to 5000 which uses all the digits 4 , 5 , 6 and 7 .
- 28. 1999 Mathematics Paper B Q10a Next Page This diagram shows the distances of different towns from Birmingham. Which towns are between 30 and 50 miles from Birmingham. Rhyl Mansfield Stoke Derby Coventry Hereford
- 29. 1999 Mathematics Paper B Q10b Next Page Answer Key This diagram shows the distances of different towns from Birmingham. Use the diagram to estimate the distance in miles from Birmingham to Mansfield .
- 30. 1999 Mathematics Paper B Q10b Next Page Answer Key This diagram shows the distances of different towns from Birmingham. B Use the diagram to estimate the distance in miles from Birmingham to Mansfield . A Which towns are between 30 and 50 miles from Birmingham. (a) Derby OR Stoke (b) Answer in the range 60 to 65 inclusive.
- 31. 1999 Mathematics Paper B Q11 Next Page What number when you cube it gives you 1331? ? X ? X ? = 1331
- 32. 1999 Mathematics Paper B Q12a Next Page Halid makes a sequence of 5 numbers. The first number is 2. The last number is 18. His rule is to add the same amount each time. What are the missing numbers? 2 18
- 33. 1999 Mathematics Paper B Q12b Next Page Halid makes a sequence of 5 numbers. The first number is 2. The last number is 18. His rule is to add the same amount each time. What are the missing numbers? 2 18
- 34. 1999 Mathematics Paper B Q12c Next Page Answers Halid makes a sequence of 5 numbers. The first number is 2. The last number is 18. His rule is to add the same amount each time. What are the missing numbers? 2 18
- 35. 1999 Mathematics Paper B Q12 Next Page Halid makes a sequence of 5 numbers. The first number is 2. The last number is 18. His rule is to add the same amount each time. What are the missing numbers? 2 18 Try trial and error methods Add 2 2…4..6..8..18 = too small Add 3 2…5...8..11..18 = too small Add 4 2.. 6..10..14..18 = spot on!
- 36. 1999 Mathematics Paper B Q13a Next Page Nicola has £50 . She buys 3 flowerpots and a spade. How much money does she have left? Answer with the decimal e.g. 4.44 {wrong answer}
- 37. 1999 Mathematics Paper B Q13b Next Page Answers Seeds are £1.45 for a packet. Steffan has £10 to spend on seeds. What is the greatest number of packets he can buy?
- 38. 1999 Mathematics Paper B Q13a Next Page Nicola has £50 . She buys 3 flowerpots and a spade. How much money does she have left? Answer with the decimal e.g. 4.44 {wrong answer} 1 Flowerpot = 12.75 3 flowerpots = 12.75 x 3 12.75 12.75 + 12.75 38.25 £38.25 + spade = 38.25 + 9.65 £47.80 £50 - £47.80 = £2.10
- 39. 1999 Mathematics Paper B Q13b Next Page Seeds are £1.45 for a packet. Steffan has £10 to spend on seeds. What is the greatest number of packets he can buy? £10.00 ÷ £1.45 = 6.8965517241379310344827586206897 Or 6 and a bit so greatest number = 6
- 40. 1999 Mathematics Paper B Q14a Next Page Here is a drawing of a model car. Give your answer in centimetres , correct to one decimal place.
- 41. 1999 Mathematics Paper B Q14b Next Page Answers Here is a drawing of a model car. The height of the model is 2.8 centimetres . The height of the real car is 50 times the height of the model. What is the height of the real car ? Give your answer in metres .
- 42. 1999 Mathematics Paper B Q14b Next Page Here is a drawing of a model car. The height of the model is 2.8 centimetres . The height of the real car is 50 times the height of the model. What is the height of the real car ? Give your answer in metres . 2.8cm x 50 = 140cm 140 cm = 1.4m
- 43. 1999 Mathematics Paper B Q15 Next Page Answer Key Samir spins a fair coin and records the results. In the first four spins 'heads' comes up each time. Samir says, 'A head is more likely than a tail'. Is he correct ? Give a reason for your answer.
- 44. 1999 Mathematics Paper B Q15 Next Page Samir spins a fair coin and records the results. In the first four spins 'heads' comes up each time. Samir says, 'A head is more likely than a tail'. Circling of ‘No’ AND an explanation which implies that every spin offers equally likely outcomes, eg ‘It’s still 50 – 50 no matter how many heads you get’; ‘ Heads and tails are equally likely because it’s a fair coin’; ‘ The probability is equal’; ‘ It’s a fair coin’. Do not award a mark for circling ‘No’ alone.Do not award a mark for the question if: ‘Yes’ is circled; OR neither ‘Yes’ nor ‘No’ is circled; unless the explanation unequivocally implies ‘No’. Do not accept vague or arbitrary explanations such as: · ‘ You can’t tell’; ‘ Time for tails but heads could still come’; ‘ It could be either’; ‘ There are 2 sides to the coin’.
- 45. 1999 Mathematics Paper B Q16 Next Page Answers A shop sells sheets of sticky labels. On each sheet there are 36 rows and 18 columns of labels. How many labels are there altogether on 45 sheets ?
- 46. 1999 Mathematics Paper B Q Next Page A shop sells sheets of sticky labels. On each sheet there are 36 rows and 18 columns of labels. How many labels are there altogether on 45 sheets ? 1 sheet = 18 x 36 45 sheets = (18 x 36) x 45 45 x 18 x 36 = 29160
- 47. 1999 Mathematics Paper B Q17 Next Page Answers What is the missing number? 950.4 ÷ = 49.5
- 48. 1999 Mathematics Paper B Q17 Next Page What is the missing number? 950.4 ÷ = 49.5 6 ÷ ? = 2 ? = 3 What did you do with 6 and 2 to get 3? – You divided them do this with the actual numbers: 950.4 ÷ 49.5 = 19.2 Check: 950.4 ÷ 19.2 = 49.5 K eep I t S imple S tupid!
- 49. 1999 Mathematics Paper B Q18a Next Page Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is a tin of Pea Soup ? Give your answer as a fraction.
- 50. 1999 Mathematics Paper B Q18b Next Page Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is a tin of Pea Soup ? Give your answer as a fraction. In it’s simplest form possible, what would the fraction be? The top of the fraction would be? ? ?
- 51. 1999 Mathematics Paper B Q18c Next Page Answers Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is a tin of Pea Soup ? Give your answer as a fraction. In it’s simplest form possible, what would the fraction be? The bottom of the fraction would be? 1 ?
- 52. 1999 Mathematics Paper B Q18d Next Page Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is not a tin of Tomato Soup? Give your answer as a fraction. In it’s simplest form possible, what would the fraction be? The top of the fraction would be? ? ?
- 53. 1999 Mathematics Paper B Q18e Next Page Answers Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is not a tin of tomato Soup? Give your answer as a fraction. In it’s simplest form possible, what would the fraction be? The bottom of the fraction would be? 2 ?
- 54. 1999 Mathematics Paper B Q18 Next Page Answers Harry has six tins of soup. The labels have fallen off. Here are the labels and tins. Harry chooses a tin. What is the probability that it is a tin of Pea Soup ? Give your answer as a fraction. In it’s simplest form possible, what would the fraction be? The bottom of the fraction would be? 1 3 Pea soup = 2 out of 6 or 2/6 in its simplest form = Probability of something happening = Number of ways it can happen Total number of outcomes WWW
- 55. 1999 Mathematics Paper B Q19 Next Page Answers Calculate 7/8 of 5000
- 56. 1999 Mathematics Paper B Q19 Next Page Calculate 7/8 of 5000 Two approaches: Find 1/8 of 5000 then multiply to get 7/8 5000 ÷ 8 = 625 625 x 7 = 4375 Second approach: use decimal fractions 7/8 = 0.875 0.875 x 5000 = 4375
- 57. 1999 Mathematics Paper B Q20 Next Page Answers Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star in cm.
- 58. 1999 Mathematics Paper B Q20 Next Page Final question Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star in cm. Perimeter = distance around 4 x 13 = 52 cm Plus (12 – 5 cm) x 4 = 7 x 4 = 28 cm 52 cm + 28 cm = 80 cm
- 59. 1999 Mathematics Paper B Q21 Next Page Answers Mr Jones has two sizes of square paving stones. He uses them to make a path. The path measures 1.55 metres by 3.72 metres . Calculate the width of a small paving stone in cm .
- 60. 1999 Mathematics Paper B Q21 End of paper Mr Jones has two sizes of square paving stones. He uses them to make a path. The path measures 1.55 metres by 3.72 metres . Calculate the width of a small paving stone in cm . 6 small squares = 3.72 3.72m = 372 cm so 372 ÷ 6 = 62cm
- 61. 1999 Mathematics Paper B Q Next Page