Unit 1 Test Year 10

Year 10 Unit 1 Mathematics Test Total 46 Marks 1. Simplify the following fractions a) 56/84 b) 0.6/1.2 c) 15/45 [3 marks]

2. Change each of these to a mixed number a) 8/3 b) 13/4 c) 17/5 d) 19/7 [4 marks]

3. Calculate these a) 4-2 x 3 b) (4-2) x 3 c) 20 ÷ 1 + 3 [3 marks]

4. Find a) 1.5 % of 50 b) 4.2 % of 500 kg c) 5.7 % of $3000 [3 marks]

5. Calculate these and write each answer in standard form. a) 102 x 103 b) 104 x 101 c) 106 ÷ 104 d) 108 ÷ 1 million [4 marks]

6. Write each of these in standard form a) 45 089 b) 87050 c) 29.83 million [3 marks]

7. Write each of these correct to 1 significant figure. a) 783 b) 87602 c) 10.49 d) 5049 [4 marks]

8. Remove the brackets and simplify as much as possible. a) 5(2 + 3a) b) 3(4 + 7x) c) 2(b-4c) [3 marks]

9. Solve these for x. a) 2x + 4 = 10 b) 3x + 2 = 14 c) 4x + 5 = 1 [3 marks]

10. Simplify these as much as possible. a) 2a x a b) a2 x a c) 2a2 x a [3 marks]

11. A ladder reaches 6m up a vertical wall and has a gradient of 4. How far is the foot of the ladder from the wall? [2 marks]

12. Write down the gradient and intercept. a) y = 3x +5 b) y = 4x +1 c) y = x -7 [3 marks]

13. The angle sum of an irregular polygon is 1260. How many sides does it have? [3 marks]

14. Construct triangle ABC, where AB = 8cm, <A = 60° and <B = 45°. [3 marks] Measure the length of AC.

15. List these sets a) {square numbers between 2 and 30} b) {all factors of 24} [2 marks]

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Answers:
1. -------------------------------------------------
a) 2/3 b) ½ c) 1/3 2. -------------------------------------------------
a) 2 and 2/3 b) 3 and