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Mathematics Problems Assessment: Understanding Key Concepts

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  1. Building Blocks 1 SG MATHEMATICS Credit

  2. Qu. 1 If we write the number 375 000 000 000 in the form what is the value of n A B C 12 11 10 D E 9 8

  3. Qu. 2 What is the scale factor that enlarges triangle ABC to PQR Q 12 25° B 85° P 9 A 75° 6 3 25° R C A B C 2 4 D E ½ 3

  4. Qu. 3 Given Evaluate A B C 3 9 7 D E 1 2

  5. Qu. 4 What is the value of: A B C 18 6 0 D E 9 Don’t understand

  6. Qu. 5 (5, 12) What is the gradient of the line shown 2 A B C 2 -2 6 D E

  7. Qu. 6 E A AB is the diameter of the circle centre O. O 20° What is the value of EAB B A B C 20° 90° 70° D E 160° Don’t know

  8. Qu. 7 Put in its simplest form A B C D E Don’t understand

  9. Qu. 8 What is the value of: A B C 24 64 8 D E 27 Don’t understand

  10. Qu. 9 (5, 12) What is the y-intercept of the line shown 2 0 A B C 2 5 11 D E 0 Don’t understand

  11. Qu. 10 Simplify A B C D E

  12. Qu. 11 Break the brackets A B C D E

  13. Qu. 12 AB is a tangent to the circle centre O. R O What is the value of ROA 35° 45° B A P A B C 55° 45° 90° D E 80° 100°

  14. Qu. 13 Which of these shapes is a prism 1 2 3 4 A B C 1 and 4 only 4 only 1 and 3 only D E 2 only 2 and 4 only

  15. Qu. 14 (5, 12) What is the equation of the line shown 2 0 A B C D E Don’t understand

  16. Qu. 15 Factorise A B C D E

  17. Qu. 16 Solve the equation A B C D E

  18. Qu. 17 20 cm2 These two shapes are mathematically similar B A The area of shape A is 20 cm2. What is the area of shape B? 2 cm 6 cm A B C 60 cm2 180 cm2 160 cm2 D E 80 cm2 120 cm2

  19. 6.5 m2 2.2 m Qu. 18 The diagram shows a rubbish skip. The area of the trapezium is 6.5 m2 The width of the skip is 2.2 m. What is the volume of the skip ? A B C 14.3 m3 14.3 m3 7.2 m3 8.7 m3 D E 28.6 m3 Don’t understand

  20. (4, 9) 3 Qu. 19 What is the equation of this straight line A B C D E

  21. Qu. 20 What is the area of this triangle 10 cm 8 cm 13 cm A B C 80 cm2 52 cm2 65 cm2 D E 31 cm2 40 cm2

  22. Qu. 21 What is the equation of the line of symmetry for this parabola 1 9 A B C D E Don’t understand

  23. Qu. 22 What is the area of this circle ? O 14 cm (to nearest whole number) A B C 154 cm2 616 cm2 44 cm2 D E 28 cm2 22 cm2

  24. Qu. 23 E ABCD is a rectangle. M is the mid-point of AB. CE is a vertical post. What is the length of CM D C 12 m A B M 36 m (to one decimal place) A B C 21.6 m 48.0 m 37.9 m D E 30.0 m Don’t understand

  25. Qu. 24 A The area of this triangle is 60 cm2 B 60 cm2 What is the length of AB ? 6 cm C A B C 360 cm 5 cm 20 cm D E 10 cm 40 cm

  26. Qu. 25 Class 3X have a maths test. The mean mark is 56% with a standard deviation of 7.4 3Y have the same maths test. Their mean mark is 64% with a standard deviation of 8.7 Which statement below is correct ? A 3Y have better average mark but are more variable B 3Y have better average mark but are more consistent C 3Y have better average mark but are less variable

  27. Qu. 26 What is the circumference of the circle O (to one decimal place) radius = 20 cm A B C 62.8 cm 5026.5 cm 1256.6 cm D E 125.7 cm Don’t understand

  28. Qu. 27 The price of this TV has been increased by 6%. £ 459.79 What was the price before the increase ? A B C £ 487.38 £ 432.20 £ 433.76 D E £ 27.59 Don’t understand these

  29. Qu. 28 Expand and simplify A B C D E

  30. Qu. 29 What is the length of the arc PQ 9 cm O 55° (to one decimal place) A B C 38.9 cm 8.6 cm 4.3 cm D E 155.5 cm Don’t understand

  31. Qu. 30 Expand A B C D E Don’t understand

  32. Qu. 31 14 cm What is the area of this triangle 85° 18 cm (to 1 decimal place) A B C 251.0 cm2 126.0 cm2 22.0 cm2 D E 125.5 cm2 11.0 cm2

  33. Qu. 32 E ABCD is a rectangle. M is the mid-point of AB. CE is a vertical post. What is the height of post CE? D C 25° 8 m A B M 12 m (to one decimal place) A B C 4.2 m 4.7 m 10.0 m D E 9.1 m Don’t understand

  34. N N B 56° C A Qu. 33 From A, the bearing of B is 056°. From C, the bearing of B is 290° Calculate angle ABC A B C 56° 124° 76° D E 126° Don’t understand

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