(Sec 1) Test 2: Numbers and Estimation - Jimmy Maths

Name: ___________________



(Sec 1) Test 2: Numbers and Estimation

1. Consider the numbers below and write down the

-5 , 0 , 1 ,

35

,

, 2.6 , 4

4

a) integers

b) rational numbers

c) irrational numbers

d) recurring decimals

e) perfect squares

Ans: a) ______________(1m) b) _____________(1m) c) _____________(1m) d) _____________(1m) e) _____________(1m)

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2. a) Evaluate 2 1 [( 1 1) ( 2)] ( 43) .

2

24

5

3

75 b) Express and as recurring decimals.

11 6



Ans : a) _____________(3m) b) 7 = ________(1m) 11 5 = ________(1m) 6

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3. a) Write 20.3456 correct to 2 decimal places. b) Express 315 623 to 4 significant figures. c) Estimate, correct to 1 significant figure, the value of

3.022 3 26.43 4.99 20.472 29.735.22



Ans: a) ______________(1m) b) ______________(1m) c) ______________(3m)

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4. Use a calculator to evaluate the following.

4( 5 1.22 )

a)

, giving your answer to 3 decimal places.

3 499



b) 8.323 1.72 , giving your answer to 2 significant figures. 54 (0.22)

8 1

c)

6 , giving your answer as a mixed number in its simplest form.

( 1 )2 31

15 3

4.1 2.3 3.92

d)

, giving your answer to 1 decimal place.

1.57 3.2

3

( 8 4)2 ( 3 15 2)3

e)

, giving your answer to 4 significant figures.

3

Ans: a) ______________(1m) b) ______________(1m) c) ______________(1m) d) ______________(1m) e) ______________(1m)

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 5. a) The mass of a basket of durians is 44.596 kg. Round off this mass to

i. 3 significant figures. ii. 2 decimal places. b) A rectangular floor measuring 11.35 m by 27.44 m is to be carpeted. The carpet costs $7.99 per square metre. By rounding off each number to the nearest ones, estimate the amount of money needed to carpet the floor. Give your answer correct to the nearest hundred dollars.

Ans : a) i. _____________(1m) a) ii. _____________(1m) b) _____________(3m)

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