Free Printable Mathematics Basics

1.

Which of these numbers are integers?

(Select all correct answers)

a)

2.5

b)

2

c)

3.75

d)

0.55

e)

12

2.

Which of these numbers are integers?

(Select all correct answers)

a)

-1.5

b)

-2

c)

-300

d)

-300.25

e)

-4.0

3.

What is the sum of the first four positive integers?

4.

What is the sum of the first four negative integers?

5.

What is the sum of the first 10 positive integers?

6.

What is the sum of the first 7 negative integers?

7.

Match the following mathematical symbols to their meaning:

a)

<

1.

Less than

b)

>

2.

Greater than

c)

√

3.

Square root

d)

∝

4.

Proportionality

e)

≈

5.

Approximately equal

8.

Which mathematical symbol should be used for:

3456 ? 2345

a)

>

b)

<

c)

≈

9.

Which mathematical symbol should be used for:

0.023 ? 0.027

a)

<

b)

>

c)

≈

10.

When making cement, 1 part silica is mixed with 3 parts lime.

If silica is represented by S and lime is represented by L, which formula represents the cement mixing process?

a)

S > L

b)

S √ L

c)

S ∝ L

d)

S ≈ L

11.

When adding up the voltage across a number of components, the value can sometimes be slightly less or slightly greater than the total voltage in the circuit due to rounding errors. Which formula represents this case?

a)

V₁ + V₂√ V_T

b)

V₁ + V₂ ∝ V_T

c)

V₁ + V₂ ≈ V_T

12.

Which acronym is used to show the order of mathematical operations?

a)

BADMIS

b)

BIMSAD

c)

BIDSAM

d)

BIDMAS

13.

Use BIDMAS to solve:

27 ÷ (3 + 6)

14.

Use BIDMAS to solve:

48 ÷ (14 – 2)

15.

Use BIDMAS to solve:

(9 + 2) × 2 + 5

16.

Use BIDMAS to solve:

4 x 2² - 1 x 3²

17.

Use BIDMAS to solve:

2 × 3³ + 7

18.

Use BIDMAS to solve:

(7 + 41) ÷ 2 – 15

19.

Use BIDMAS to solve:

88 ÷ 44 + 44 ÷ 22

20.

Use BIDMAS to solve:

9 + 9 ÷ 9 + 9

21.

Use BIDMAS to solve:

8 ÷ 8 + 6 × 2

22.

Use BIDMAS to solve:

6 ÷ 2 X (9 - 3)

23.

$\frac{3}{5}$
The numerator is ....

a)

5

b)

3

24.

$\frac{1}{4}$
The denominator is

a)

4

b)

1

25.

Simplify $\frac{5}{20}$ down to its lowest form

a)

$\frac{5}{20}$

b)

$\frac{1}{4}$

c)

$\frac{1}{2}$

d)

$\frac{2}{3}$

26.

Simplify $\frac{16}{20}$ down to its lowest form

a)

$\frac{8}{10}$

b)

$\frac{4}{5}$

c)

$\frac{1}{2}$

d)

$\frac{16}{20}$

27.

Simplify $\frac{9}{45}$ down to its lowest form

28.

Simplify $\frac{64}{56}$ down to its lowest form

29.

How would you write $1\frac{3}{4}$ as an improper fraction?

a)

$\frac{3}{4}$

b)

$\frac{8}{4}$

c)

$\frac{7}{4}$

d)

$\frac{7}{1}$

30.

Convert $1\frac{\text{6}}{\text{10}}$ to an improper fraction.

31.

Convert $6\ \frac{\text{5}}{\text{6}}$ to an improper fraction.

32.

Convert $\frac{\text{10}}{\text{6}}$ to a mixed number fraction.

a)

$2\ \frac{4}{10}$

b)

$1\ \frac{\text{4}}{\text{6}}$

c)

$4\ \frac{\text{4}}{\text{6}}$

d)

$2\ \frac{\text{4}}{\text{6}}$

33.

Convert $\frac{31}{9}$ to a mixed number fraction

34.

Convert $\frac{37}{8}$ to a mixed number fraction

35.

$\frac{1}{6}+\frac{2}{3}$ =

36.

$\frac{4}{8}-\frac{1}{4}$ =

37.

$\frac{2}{10}+\frac{3}{5}$ =

38.

$\frac{5}{16}-\frac{1}{8}$ =

39.

$\frac{1}{6}+\frac{1}{4}$ =

40.

$\frac{7}{8}-\frac{2}{3}$ =

41.

$\frac{3}{4}\times\frac{1}{2}$ =

42.

$\frac{4}{5}\times\frac{2}{10}$ =

43.

$\frac{3}{4}\times\frac{5}{10}$ =

44.

$\frac{3}{8}\div\frac{1}{16}$ =

45.

$\frac{8}{9}\div\frac{2}{3}$ =

46.

$\frac{7}{8}\div\frac{1}{3}$ =

47.

4.99 + 22.89 =

48.

18.09 - 11.87 =

49.

- 6.7 + (- 44.5)

50.

23 - 8.925 =

(Give your answer to 2 decimal places)

51.

$4.3\times3\ =$

52.

$5.6\times4.75\ =$

53.

7 (0.5) =

54.

- 4.3 (9) =

55.

63.4 (1.22) =

(Give your answer to 2 decimal places)

56.

- 9.9 (1.9) =

57.

$16\ \div\ 3.2$ =

58.

48 / 0.06 =

59.

126.28 / (-8.2) =

60.

(-13) / (-3.25)

Mathematics Basics

Total questions: 60

Worksheet time: 3600secs

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