This document contains a 1999 mathematics exam paper with multiple choice and short answer questions. The paper covers topics like arithmetic, algebra, geometry, statistics and probability. It contains 21 questions testing a variety of math skills for different grade levels.

1. 1999 MATHS PAPER A

2. 1999 Mathematics Paper A Input your name and press send. Next Page

3. 1999 Mathematics Paper A Q1a Next Page (3 × 4) + = 19 What is the missing number?

4. 1999 Mathematics Paper A Q1b Next Page Answers (5 × 5) - = 23 What is the missing number?

5. 1999 Mathematics Paper A Q1 Next Page (5 × 5) - = 23 What is the missing number? (3 × 4) + = 19 Always work out what is in the brackets FIRST. 12 + 7 = 25 - 2 =

6. 1999 Mathematics Paper A Q2 Next Page Answers The line on the grid is one side of a square . On the grid, draw the other three sides of the square. Use the pen tool

7. 1999 Mathematics Paper A Q2 Next Page The line on the grid is one side of a square . On the grid, draw the other three sides of the square. Square facts: quadrilateral; all sides equal; four right angles. Two across + one up

8. 1999 Mathematics Paper A Q3 Next Page This table shows the cost of sending a letter. Paul is sending a letter. It costs 38p second class . How much would it cost him to send it first class ? Cost in pence Mass first class second class up to 60g 61g to 100g 101g to 150g 151g to 200g 201g to 250g 26 39 49 60 70 20 31 38 45 55

9. 1999 Mathematics Paper A Q3 Next Page This table shows the cost of sending a letter. Jenny has a letter with a mass of 170g . What does it cost to send if first class? Cost in pence Mass first class second class up to 60g 61g to 100g 101g to 150g 151g to 200g 201g to 250g 26 39 49 60 70 20 31 38 45 55

10. 1999 Mathematics Paper A Q4 Next Page Answer Key Write two more numbers in this diagram so that the total of all the numbers is 1000 .

11. 1999 Mathematics Paper A Q4 Next Page Write two more numbers in this diagram so that the total of all the numbers is 1000 . Any two numbers which add to make 250, eg 200 AND 50 Accept fractions, decimals, ‘0’ and negative numbers. Two numbers and only two numbers must be given. Do not accept an empty circle for zero unless the answer is written elsewhere.

12. 1999 Mathematics Paper A Q5 Next Page Draw one line from each shape to the rectangle which has the same area . One is done for you. THIS SHAPE HAS THE SAME AREA AS? A B C D E F

13. 1999 Mathematics Paper A Q5 Next Page Answers Draw one line from each shape to the rectangle which has the same area . One is done for you. A THIS SHAPE HAS THE SAME AREA AS? B C D E

14. 1999 Mathematics Paper A Q5 Next Page Draw one line from each shape to the rectangle which has the same area . One is done for you. USE PEN TOOL TO MARK OFF?

15. 1999 Mathematics Paper A Q6a Next Page Rob has some number cards. He holds up a card. He says, ‘ If I multiply the number on this card by 5, the answer is 35’. What is the number on the card?

16. 1999 Mathematics Paper A Q6b Next Page Answers Rob has some number cards. He holds up a different card. He says, ‘ If I divide the number on this card by 6, the answer is 4’. What is the number on the card?

17. 1999 Mathematics Paper A Q6 Next Page Rob has some number cards. He holds up a different card. He says, ‘ If I divide the number on this card by 6, the answer is 4’. What is the number on the card? He holds up a card. He says, ‘ If I multiply the number on this card by 5, the answer is 35’. What is the number on the card? ? x 5 = 35 ? X 2 = 6 ? = 3 – what did you do with 2 and 6 to get 3? You shared 6 by 2 so share 35 by 5 to get 7 ? ÷ 6 = 4 ? ÷ 2 = 3 ? = 6 – what did you do with 2 and 3 to get 6? You multiplied so now multiply 6 by 4 to get 24 24 ÷ 6 = 4

18. 1999 Mathematics Paper A Q7 Next Page A shop sells flowers. John buys 3 bunches of daffodils. How much does he pay altogether in pounds? Answer using the decimal.

19. 1999 Mathematics Paper A Q7 Next Page A shop sells flowers. Karpal has £4.00 to spend on roses . How many roses can she buy for £4.00 ?

20. 1999 Mathematics Paper A Q7 Next Page A shop sells flowers. Karpal has £4.00 to spend on roses . How many roses can she buy for £4.00 ? 10 x 40p = 400p John buys 3 bunches of daffodils. How much does he pay altogether in pounds? Answer using the decimal. 99p = £1 – 1p so… 3 x £1 = £3 then subtract 3 lots of 1p £3.00 – 0.03 = £2.97

21. 1999 Mathematics Paper A Q8 Next Page Answer Use a ruler to draw the reflection of this shape in the mirror line. (You may use a mirror or tracing paper in the actual SAT). Pen tool

22. 1999 Mathematics Paper A Q Next Page Use a ruler to draw the reflection of this shape in the mirror line. (You may use a mirror or tracing paper in the actual SAT). 2 across 2 up 4 across

23. 1999 Mathematics Paper A Q9 Next Page Calculate 438 – 296

24. 1999 Mathematics Paper A Q10 Next Page – Next Q Five children collect money to plant trees. Here is a bar chart of the amounts they have raised so far. Their target is £40 altogether . How much more money do they need to reach the target? {Hint – no decimal needed}. Pen tool - check

25. 1999 Mathematics Paper A Q11 Next Page Answers Parveen buys 3 small bags of peanuts. She gives the shopkeeper £2 and gets 80p change. What is the cost in pence of one bag of peanuts?

26. 1999 Mathematics Paper A Q11 Next Page Parveen buys 3 small bags of peanuts. She gives the shopkeeper £2 and gets 80p change. What is the cost in pence of one bag of peanuts? £2 – 80p = 3 bags of nuts £2- 80p = £1.20 £1.20 – 3 bags of nuts so 1 bag = £1.20 ÷ 3 = 40p

27. 1999 Mathematics Paper A Q12 Next Page Calculate 549 × 6 XL File

28. 1999 Mathematics Paper A Q13a Next Page Volume demonstration This cuboid is made from centimetre cubes. It is 4 centimetres by 3 centimetres by 2 centimetres. What is the volume of the cuboid in cm ³ ? Skip demonstration

29. 1 2 3 4 5 6 7 8 Cubes Next Page

30. 2 2 2 Volume =2 x 2 x 2 = 8 Next Page

31. Volume of a 3 x 3 x 3 cube = 27 Next Page

32. Volume of a 3 x 3 x 4 cuboid = 36 Next Page

33. 1999 Mathematics Paper A Q13b Next Page Another cuboid is made from centimere cubes. It has a volume of 30 cubic centimetres . What could the length , height and width be? XL File Length = Cm Height = Cm Weight = Cm

34. 1999 Mathematics Paper A Q14 Next Page Answer key Emma parks her car at 9.30 am . She collects the car at 1.20 pm . How much does she pay in pence? Dan and Mark both use the car park. Dan says, ‘ I paid exactly twice as much as Mark but I only stayed 10 minutes longer’. Explain how Dan could be correct.

35. 1999 Mathematics Paper A Q14 Next Page Answer key Emma parks her car at 9.30 am . She collects the car at 1.20 pm . How much does she pay in pence? 9.30 to 10 = 30 minutes 10 to 1pm = 3 hours 1pm to 1.20pm = 20 minutes Total = 3 hours 50 minutes = 3  hours = 170p

36. 1999 Mathematics Paper A Q14 Next Page Answer key Dan and Mark both use the car park. Dan says, ‘ I paid exactly twice as much as Mark but I only stayed 10 minutes longer’. Explain how Dan could be correct. (b) Explanation which suggests that Dan stayed just over 2 hours and Mark stayed just under 2 hours, eg ‘ Dan stayed 2 hours and 5 minutes so he paid £1 but Mark stayed 5 minutes less than 2 hours and paid 50p’; ‘ Mark stayed just under 2 hours and Dan stayed the next price up which is double’. Accept references to ‘2 hours’ as part of the 1 to 2 hours charging band OR as part of the 2 to 3 hours charging band. Do not accept vague or arbitrary answers, eg ‘ If you pay more you stay longer’; ‘ Mark went before the next hour, but Dan didn’t’; ‘ The ten minutes could have passed one hour’. Do not accept explanations which refer to the wrong charging band, eg ‘ Mark stayed 4 hours and Dan stayed 4 hours and 10 minutes’.

37. 1999 Mathematics Paper A Q15a Next Page Here are two bags. Each bag has 3 white balls and one black ball in it. A ball is taken from one of the bags without looking. What is the probability that it is a black ball ? Give your answer as a fraction.

38. 1999 Mathematics Paper A Q15b Next Page Answer Key All the balls from both bags are now mixed together in a new bag. Which position on this shows the probability of taking a black ball from the new bag? A B C D E F = none of these positions

39. 1999 Mathematics Paper A Q15a Next Page Here are two bags. Each bag has 3 white balls and one black ball in it. A ball is taken from one of the bags without looking. What is the probability that it is a black ball ? Give your answer as a fraction. (a) ¼ Accept equivalent fractions or decimals or percentages, eg 2/8 OR 0.25 OR 25% Do not accept answers in words, eg ‘1 out of 4’ or ‘1 in 4’ OR as a ratio, eg 1:4

40. 1999 Mathematics Paper A Q15b Next Page All the balls from both bags are now mixed together in a new bag. Which position on this shows the probability of taking a black ball from the new bag? A B C D E F = none of these positions (b) Cross on the line as shown. Cross must be within 1mm of the scale marking. Accept alternative markings such as an arrow, provided the intention is clear.

41. 1999 Mathematics Paper A Q16 Next Page Answers Eggs are put in trays of 12 . The trays are packed in boxes. Each box contains 180 eggs . How many trays are in each box ?

42. 1999 Mathematics Paper A Q16 Next Page Eggs are put in trays of 12 . The trays are packed in boxes. x number of trays = 2 x ? = 6 ? = 3 What do you do with 2 and 6 to get 3? Multiply them so 180 ÷ 12 = ? (number of trays) 180 ÷ 12 = 15

43. 1999 Mathematics Paper A Q17a Next Page Megan makes a sequence of numbers starting with 100 . She subtracts 45 each time. Write the next two numbers in the sequence. 100 55 10 ??

44. 1999 Mathematics Paper A Q17a Next Page Megan makes a sequence of numbers starting with 100 . She subtracts 45 each time. Write the next two numbers in the sequence. 100 55 10 -35 ?? PPT

45. 1999 Mathematics Paper A Q18 Next Page Which two numbers add up to 1 ? 0.1 0.65 0.99 0.45 0.35

46. 1999 Mathematics Paper A Q19 Next Page Answer key On the grid draw a triangle with the same area as the shaded rectangle. Pen tool

47. 1999 Mathematics Paper A Q19 Next Page Any triangle with an area of 8cm2, eg Drawings must be accurate to within 2mm of appropriate grid intersections. The triangle need not be shaded and need not have vertices at grid junctions. Do not penalise drawings done without a ruler, provided the intention is clear. Which is the best KISS answer?

48. 1999 Mathematics Paper A Q20a Next Page Here is a graph The points A , B and C are equally spaced . What are the co-ordinates of the point B ? First co-ordinate? = (?, _)

49. 1999 Mathematics Paper A Q20b Next Page Here is a graph The points A , B and C are equally spaced . What are the co-ordinates of the point B ? Second co-ordinate? = (5, ?)

50. 1999 Mathematics Paper A Q20c Next Page Here is a graph The points A , B and C are equally spaced . Point D is directly below point C . What are the co-ordinates of the point D ? First co-ordinate? = (?, _)

51. 1999 Mathematics Paper A Q20d Next Page Here is a graph The points A , B and C are equally spaced . Point D is directly below point C . What are the co-ordinates of the point D ? Second co-ordinate? = (10, _) PPT

52. 1999 Mathematics Paper A Q21a Next Page The outer ring of this spinner has 8 sections labelled with the numbers 1 to 5 . The inner ring has 12 equal sections on it. Laura spins the pointer. Which is the pointer most likely to stop on? 12b Give a reason for your answer.

53. 1999 Mathematics Paper A Q21c Next Page Answer Key The outer ring of this spinner has 8 sections labelled with the numbers 1 to 5 . The inner ring has 12 equal sections on it. What is the probability of getting an even number on this spinner? Give your answer as a fraction.

54. 1999 Mathematics Paper A Q21a Next Page The outer ring of this spinner has 8 sections labelled with the numbers 1 to 5 . The inner ring has 12 equal sections on it. Laura spins the pointer. Which is the pointer most likely to stop on? 3 12b Give a reason for your answer. (b) Explanation which implies that ‘3’ has more sections than any other number. 1 A comparison must be implied, eg · ‘3 has four sections but 1 has only got three’; · ‘The 3’s have more slices’; · ‘The triangles are more for 3 than the others’; · ‘It’s got more equal parts’; · ‘There’s more room to land on’. If no answer is given to 21a, but in the explanation for 21b, 3 is unequivocally implied as the answer for 21a, then award the mark for 21a. Do not accept vague or arbitrary explanations such as · ‘3 comes twice’; · ‘It’s not the biggest but there’s two of them’; · ‘3 has four sections’.

55. 1999 Mathematics Paper A Q21c Next Page The outer ring of this spinner has 8 sections labelled with the numbers 1 to 5 . The inner ring has 12 equal sections on it. What is the probability of getting an even number on this spinner? Give your answer as a fraction. (c) OR OR 33% OR 0.3 recurring OR 0.3. Accept equivalent fractions, decimals or percentages. Accept 33% or 0.33. Do not accept 0.3 OR answers in words, eg ‘1 in 3’ or ‘4 out of 12’ OR as a ratio, eg 4:12.

56. 1999 Mathematics Paper A Q22 Next Page Here is a sketch of a triangle. It is not drawn to scale. Draw the full size triangle accurately , in your book. Use an angle measurer (protractor) and a ruler. Start with the 10cm line. WWW Shape show movie

57. 1999 Mathematics Paper A Q23 End of slide-show Calculate 268 × 53 XL File