Test - Pearson

Form 3 Mathematics **Test**

**Test** 1: Types of numbers

Total: 50 marks

Name: ________________________________________ Date: _______________________

Section A

Write down the correct letter for each of the following questions.

Do not use a calculator to answer Questions 9 and 10.

1. What is the symbol for whole numbers?

A

B

C

D

[N]

[N0]

[Q]

[Z]

2. What is the symbol for integers?

A

B

C

D

[N]

[N0]

[Q]

[Z]

3. What is the symbol for natural numbers?

A

B

C

D

[N]

[N0]

[Q]

[Z]

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4. What is the symbol for rational numbers?

A

B

C

D

[N]

[N0]

[Q]

[Z]

5. Which number below is irrational?

A

B

C

D

6. Which number below is imaginary?

A

B

C

D

7. Which statement below is true?

A

B

C

D

All numbers that are not rational are irrational.

All real numbers that are not rational are irrational.

A recurring number is irrational.

All decimal numbers are irrational.

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8. Which statement below is not true?

A

B

C

D

The set of real numbers consists of all the rational and irrational

numbers.

Between any two rational numbers, there is an infinite number of

rational numbers.

Zero is a whole number.

Integers are also called directed numbers.

9. Which of the estimates below is closest to the value of this expression,

?

A 8

B 12

C 6

D 6

10. Which of the estimates below is closest to the value of this expression,

?

A 22

B 4

C 3

D 28

[10]

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Section B

Do not use a calculator to answer these questions.

Show all your calculations.

11. If will be a rational number. (3)

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

12. Put brackets in the expression to get an answer

of 14. (3)

___________________________________________________________________________________

13. Put brackets in the expression 4 2 1 + 3 × 6 5 to get an answer

of 17. (3)

___________________________________________________________________________________

14. Put brackets in the expression 4 2 1 + 3 × 6 5 to get an answer of 4. (3)

___________________________________________________________________________________

15. Put brackets in the expression 4 2 1 + 3 × 6 5 to get an answer of 7. (3)

___________________________________________________________________________________

[15]

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Section C

You may use a calculator to answer these questions.

Show all your calculations in Question 17.

16. Complete the table below by making a tick or a cross in each column. (10)

a) 3 11

b) 51.625

c) 0 9

d) -0.

e) ( 4) 2

f)

g)

h)

i)

j)

Number Whole Natural Integer Rational Irrational Real

17. A diamond mine has three major ore bodies (physical sources of

mineable diamonds). The largest of these is called Abigail and has an

estimated

100 million tonnes of mineable ore, yielding 0.035 carats of diamonds

per tonne of ore. The second largest mine, Bonang, has an estimated 85

million tonnes of mineable ore, yielding 0.04 carats of diamonds per

tonne of ore. The third largest mine, Chilume, has an estimated 10

million tonnes of mineable ore, yielding 0.07 carats of diamonds per

tonne of ore. The mine needs to produce 7 000 carats of diamonds per

month. It wants to mine all three ore bodies at the same time in such a

way that the three ore bodies last the length of the mine's life.

a) Which ore body has the highest yield? (1)

___________________________________________________________________________________

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) Which ore body is estimated to be the richest of the three? (1)

___________________________________________________________________________________

c) What tonnage should be mined from each ore body per month in

order to reach the goal of 7 000 carats of diamonds per month?

Show all your calculations. (11)

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

d) What is the estimated life expectancy of the mine? (2)

___________________________________________________________________________________

___________________________________________________________________________________

[25]

Total: 50

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