Math Year 8 Assessment

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This assessment consists of 50 questions. Please answer all the questions. Recommended duration: 60 minutes

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1. Give 268 correct to the nearest 100 *

1 point

270

260

200

300

2. The population of a country is 39,634,274. What is the number correct to the nearest million? *

1 point

39,600,000

40,000,000

39,000,000

3. Give 683.459 correct to 2 decimal places *

1 point

683.5

683.46

684

4. Tim thinks of a number, his number rounded to 2 decimal places is 5.46. What is the smallest possible number Tim could have thought of? *

1 point

5.4

5.455

5.44

5. Calculate 13+5x9-18 *

1 point

-162

144

6. Calculate (3x3)^2 *

1 point

7. At 10pm the temperature is 2°C. At midnight the temperature has fallen by 3°C. What is the temperature at midnight? *

1 point

5°C

3°C

0°C

-1°C

8. What is the sum of the first four negative integers? *

1 point

-10

9. The term-to-term rule of a sequence is multiply by 3. The fourth term of the sequence is 54. Work out the first term of the sequence. *

1 point

162

10. Find the volume (in cm^3) of the cuboid. *

1 point

144

124

11. Calculate the perimeter (in cm) of the diagram below. *

1 point

12. Work out 11.28 - 2.843 *

1 point

8.437

14.123

13. Work out 16.8 x 7 *

1 point

117.6

23.8

2.4

14. If the conversion rate between pounds(£) and euros(€) is £1 = €1.40. How many euros are obtained for £100? *

1 point

140

1400

1.4

15. 1.624 metres equals to how many centimetres? *

1 point

16.24

162.4

1624

16. What is the value of √196? *

1 point

19.6

1.96

38416

17. A paper bag is 25cm long, 8cm wide and 35cm tall. Inside the bag is a box that is 20cm long, 9cm wide and 25cm tall. How much space (in cm^3) is left in the bag? *

1 point

7000

2500

4500

11500

18. Lemon costs $5.40 per kilogram. Leyla buys 0.35kg of lemons. Caluculate how much (in $) Leyla's lemons will cost. *

1 point

2.50

3.20

1.89

1.74

19. Tido is shopping at a furniture store. He has $360 to spend. He buys a table for $204.99. Work out how much money he has left after buying the table. *

1 point

204.99

155.01

360

189.90

20. A bed costs $560. The price is reduced by 25% in a sale. Work out the sale price (in $) of the bed. *

1 point

420

520

448

392

21. Find the median of these data points: {16,24,8,12,19} *

1 point

22. Find the mean of this data set: {18,18,63,63,84} *

1 point

49.2

49.5

23. Simplify 3y+7+2y+1 *

1 point

3y+2y+7+1

5y+8

8-5y

5y-8

24. Expand the brackets: 6(2w+5) *

1 point

12w+5

2w+30

30-12w

30+12w

25. Simplify 7-5a+2+3a *

1 point

9-2a

9+2a

2a-9

-2a-9

26. A chicken weights t kg. It needs to be cooked for 20 minutes per kg plus an extra 15 minutes. What is the total cooking time? *

1 point

35t

15t+20

20t+15

27. There are 96 children in a room. 40 of them are girls. Find the fraction (in the simplest form) of the children that are boys. *

1 point

40/96

56/96

7/12

5/12

28. Work out 7/10 + 1/5 *

1 point

8/10

9/10

10/12

10/15

29. Work out the value of x *

1 point

245°

65°

180°

45°

30. Find the value of x *

1 point

180°

113°

67°

51°

31. What kind of line is y=6? *

1 point

horizontal

vertical

not enough information

32. What kind of line is x=-5? *

1 point

diagonal

horizontal

vertical

33. The graph of y = 3x-2 passes through the point (-1 , a). Work out the value of a. *

1 point

-5

-4

-3

-2

34. Kieran buys a car for $8000. The following year he sells the car for $7500. Find the percentage loss. *

1 point

93.75%

6.25%

6.67%

93.33%

35. A school has 320 students. 9 students in every 16 speak English. How many students in the school speak English? *

1 point

180

250

36. In a packet of 40 sweets, 30% are purple. How many sweets are not purple? *

1 point

37. A bowl of fruit contains 4 oranges, 2 apples, 3 pears and a banana. A fruit is chosen at random. What is the probability that the fruit is not an orange? *

1 point

0.6

0.4

0.3

0.5

38. Martin is playing a game. The probability of winning is 0.3. What is the probability of not winning? *

1 point

0.3

0.7

39. Solve the equation: 4b + 11 = 39. What is the value of b? *

1 point

40. Solve the equation: 6n + 3 = 2n + 31. What is the value of n? *

1 point

41. Solve the equation: 5(x-2) = 3(x+4) *

1 point

42. How many faces are triangles? *

1 point

43. How many faces are circles?

1 point

Clear selection

44. How many faces are triangles? *

1 point

45. Two sisters share some sweets. Mira receives four times as many as Sarah. Write this information as a ratio. *

1 point

4 : 1

5 : 1

46. The ratio of boys to girls in a school is boys : girls = 4 : 3. One day, 18 girls are absent froms school. This represents 5% of all the girls in the school. Calculate the total number of students in the school. *

1 point

120

840

480

360

47. Andy, Brian and Charlie share $72 in the ratio 2:3:4. Work out how much Brian receives. *

1 point

48. Gabriella has some toy bricks. Her bricks are either yellow or green. The ratio of yellow to green is 4 : 1. She has 50 bricks altogether. Work out how many green bricks Gabriella has. *

1 point

49. An adult lion is 1.21 metres tall. A baby lion is 55 centimetres tall. What is the ratio (in simplest form) of the height of the adult lion to the height of the baby lion? *

1 point

121 : 55

11 : 5

12 : 24

5 : 10

50. The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38. Work out the cost (in $) of a 2.4-metre length of cloth. *

1 point

30.60

28.50

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