Maths quiz & answers K8 & (

1. 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1 ITV CH 4 Total Male 16 9 30 Female 10 20 Total 80

2. 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. 5 50 20 29 26 25 BBC 1 ITV CH 4 Total Male 16 9 30 Female 10 20 Total 80

3. Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers? 900 540 2 2 x 3 2 x 5 2 2 2 x 3 3 x 5

4. Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers? Both numbers are divisible by 2 2 , 3 2 and 5. So the HCF = 2 2 x 3 2 x 5 = 180 900 540 2 2 x 3 2 x 5 2 2 2 x 3 3 x 5 180

5. A portable television has 15% off its original price and is on offer in a shop for $140. What was the original price of the television? (nearest $) $140.00

6. $165 If p is the original price of the television then: 0.85 p = 140 p = 140/ 0.85 = 165 A portable television has 15% off its original price and is on offer in a shop for £140. What was the original price of the television? (nearest £) £140.00

7. 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 What is the inequality shown on the number line below? (Use n as the variable)

8. What is the inequality shown on the number line below? (Use n as the variable) 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -3 < n  3 Full circles include the number. Open circles exclude the number. Remember: whereas:

9. a b The shape below is a regular hexagon. Calculate the angles shown.

10. a b The shape below is a regular hexagon. Calculate the angles shown. Angle a = 60 o Angle b = 120 o Exterior angle (a) = 360/6 = 60 o Interior angle (b) = 180 - 60 = 120 o

11. Here is an old recipe for savoury oat cakes for 4 people . How much self raising flower would be needed in a recipe for 20 people? 150 g oatmeal 80 g self raising flour 50 g grated cheese 30 g margarine 10 ml yeast extract 40 ml of boiling water

12. 150 g oatmeal 80 g self raising flour 50 g grated cheese 30 g margarine 10 ml yeast extract 40 ml of boiling water 20 = 5 x 4 So 5 x 80 g = 400 g Here is an old recipe for savoury oat cakes for 4 people . How much self raising flower would be needed in a recipe for 20 people? 400 g

13. 10 9 8 7 6 5 4 3 2 1 20 19 18 17 16 15 14 13 12 11 30 29 28 27 26 25 24 23 22 21 40 39 38 37 36 35 34 33 32 31 50 49 48 47 46 45 44 43 42 41 60 59 58 57 56 55 54 53 52 51 70 69 68 67 66 65 64 63 62 61 80 79 78 77 76 75 74 73 72 71 90 89 88 87 86 85 84 83 82 81 100 99 98 97 96 95 94 93 92 91 How are the numbers in red related to each other?

14. 10 9 8 7 6 5 4 3 2 1 20 19 18 17 16 15 14 13 12 11 30 29 28 27 26 25 24 23 22 21 40 39 38 37 36 35 34 33 32 31 50 49 48 47 46 45 44 43 42 41 60 59 58 57 56 55 54 53 52 51 70 69 68 67 66 65 64 63 62 61 80 79 78 77 76 75 74 73 72 71 90 89 88 87 86 85 84 83 82 81 100 99 98 97 96 95 94 93 92 91 How are the numbers in red related to each other? They are all prime numbers.

15. 7n + 2 3n - 1 The heights of the Russian dolls are measured in cm. Find the difference in their heights.

16. 4n + 3 7n + 2 3n - 1 The heights of the Russian dolls are measured in cm. Find the difference in their heights. 7n + 2 - (3n - 1) = 7n + 2 - 3n + 1 = 4n + 3

17. A B C D Which shapes below are enlargements of shape A?

18.   A B C Which shapes below are enlargements of shape A? D

19. A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart. How many of these students came to school on a bus?

20. 3/8 of 120 = 45 A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart. How many of these students came to school on a bus? 45

21. Caramel Milk Chocolate Strawberry Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?

22. Caramel Milk Chocolate Strawberry 9/14 9 of the chocolates are not milk chocolate flavoured out of a total of 14 chocolates. Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?

23. A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls. 7.2 ? 

24. 7.2 ? Total marks scored on test = 30 x 7.5 = 225 Marks for girls 225 - 16 x 7.2 = 109.8 Mean for girls 109.8/14 = 7.8 A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls. 7.8 (1 dp) 

25. Estimate the size of the angle shown. a

26. Estimate the size of the angle shown. 160 o a

27. The table shows prices in £’s for staying at a guest house in Cornwall between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June? Room Only Bed and Breakfast Half Board No of Nights 7 14 7 14 7 14 March 200 240 225 290 295 430 April 220 260 245 310 315 450 May 240 280 265 330 335 470 June 260 300 285 350 355 490 July 300 400 325 445 395 585 August 350 500 375 550 445 690

28. The table shows prices in $’s for staying at a guest house in Tauranga between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June? $200 Room Only Bed and Breakfast Half Board No of Nights 7 14 7 14 7 14 March 200 240 225 290 295 430 April 220 260 245 310 315 450 May 240 280 265 330 335 470 June 260 300 285 350 355 490 July 300 400 325 445 395 585 August 350 500 375 550 445 690

29. The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?

30. JQK, JKQ, QJK, QKJ, KJQ, KQJ 6 The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?

31. The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane? 28 cm

32. 70 m 250 x 28 = 7000 cm The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane? 28 cm

33. 17 18 19 20 22 27 23 28 24 21 26 25 I am one of a kind , being trapped between a square number and a cube number. Who am I?

34. 17 18 19 20 22 27 23 28 24 21 26 25 I am one of a kind , being trapped between a square number and a cube number. Who am I? 26 sits between 5 2 and 3 3 . About 200 years ago the Swiss mathematician Leonhard Euler proved that there is no other number that is 1 more than a square and 1 less than a cube.

35. Trapezium Kite Square Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one? Parallelogram

36. Kite Square Parallelogram Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one? Trapezium

37. Walk Bus Bike Car 4 8 12 16 20 The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus?

38. Walk Bus Bike Car 4 8 12 16 20 The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus? 14 28% 14/50 = 28/100

39. Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36 What is the probability of Jenny selecting a blue bead?

40. Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36 What is the probability of Jenny selecting a blue bead? P(blue) = 1 - P(red or green) 0.64

41. 2 5 3 10 7 0 1 6 4 ? Input Output Calculate the Rule for this input/output table. 10 22 14 42 30 2 6 26 18 Rule

42. 2 5 3 10 7 0 1 6 4 Input Output Calculate the Rule for this input/output table. Rule x 4 + 2 10 22 14 42 30 2 6 26 18

43. 2n - 3 Input Output Rule Calculate the input values from the given output values. 9 15 7 45 19 21 17 11 13

44. Input Output 2n - 3 Rule 9 15 7 45 19 21 11 13 Apply the inverse rule to each output value. Add 3 then halve. 17 6 9 5 24 11 12 10 7 8

45. Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge? Red Blue White Silver Black 20 14 10 28 8

46. Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge? (a) Since the table shows a total of 80 cars and 28 are silver, we can use this relative frequency, 28/80 as an estimate for the probability of the next car being silver. (b) 8/80 = 1/10 and 1/10 of 300 = 30. (a) 28/80 =7/20 (b) 30 Red Blue White Silver Black 20 14 10 28 8