Free Printable MATHEMATICS FORM 3

1.

Simplify the following: w⁰ x w⁰

a)

w¹

b)

1

c)

0

2.

Simplify: (b⁴ x c²) ÷ b³

a)

bc⁸

b)

cb⁸

c)

bc²

d)

cb²

3.

Simplify: $\frac{a^5b^{10}}{a^3b^3}$

a)

$a^8b^{13}$

b)

$a^2b^7$

c)

$a^{15}b^{30}$

4.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

5.

Simplify the following: (3ab⁴)³

a)

9a³b¹²

b)

9a³b⁷

c)

27a³b¹²

d)

27a³b⁷

e)

3³a³b¹²

6.

(4a)²=

a)

4a²

b)

16a²

c)

8a²

d)

8a

7.

How many significant figures does the following number have: 0.002040

a)

6

b)

4

c)

3

d)

2

8.

How many significant figures does the following number have: 100.00210

a)

7

b)

5

c)

10

d)

8

9.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.6

d)

0.658

10.

Solve and round accordingly.
25.0 x 17 = ?

a)

430

b)

425

c)

425.0

d)

430.0

11.

A bicycle has a speed of 6 m/s. What is its speed in km/h?

a)

21.6 km/h

b)

16.67 km/h

c)

2.16 km/h

d)

1.67 km/h

12.

calculate the following to the correct number of sig figs.
0.00401 x 2.00 x 501

a)

4.02

b)

4

c)

4.0

d)

4.0180

13.

The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?

a)

6 m

b)

10 m

c)

18 m

d)

60 m

14.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

15.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

16.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

17.

Determine the scale used in the form of 1:n

(a)

18.

The diagram is redrawn using the scale of 1:200. Calculate the length of AB, in cm, of the drawing.

a)

2.5

b)

3

c)

5

d)

6

19.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

23.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

24.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

25.

Sin X

a)

¹⁵/₁₇

b)

⁸/₁₅

c)

¹⁷/₈

d)

¹⁵/₈

26.

In the diagram, PTR and QTS are straight lines. Find the value of x.

a)

28

b)

32

c)

36

d)

48

27.

The diagram shows a circle with centre O. The minor arc PQ and the minor arc RS are of equal length. Find the value of x.

a)

20

b)

25

c)

30

d)

35

28.

The diagram shows a semicircle with centre O. Find the value of x.

a)

22

b)

28

c)

34

d)

68

29.

In the diagram, RTS is a tangent to a circle at point T and the arc length of minor sector OQP is 1/5 of the circumference of the circle with centre O. Find the value of x.

a)

75

b)

72

c)

36

d)

18

30.

State the angles of equal size in the diagram. You can choose more than one answer.

a)

$w=y$

b)

$w=x$

c)

$x=y$

31.

In the diagram, ABC is a straight line. Choose the correct statement below. You can choose more than one answer.

a)

$t\degree+r\degree=180\degree$

b)

$q\degree+r\degree+s\degree+t\degree=360\degree$

32.

Bundarkan 0.002047 betul kepada tiga angka bererti.

a)

0.00204

b)

0.00205

c)

0.002040

d)

0.205

33.

2.3\ \times10^2\ +\ 5.4\ \times10^3\ =

a)

$5.63\ \times10^2$

b)

$5.63\ \times10^3$

c)

$7.7\ \times10^3$

d)

$7.7\ \times10^5$

34.

Ungkapkan 1295.2 dalam bentuk piawai

a)

$1.2952\ \times10^2$

b)

$1.2952\times10^{-2}$

c)

$1.2952\ \times10^3$

d)

$1.2952\ \times10^{-3}$

35.

Selesaikan

8.4\ \times10^{-5}\ \div0.0007

a)

$1.2\ \times10^{-9}$

b)

$1.2\ \times10^{-2}$

c)

$1.2\times10^{-8}$

d)

$1.2\times10^{-1}$

MATHEMATICS FORM 3

Total questions: 35

Worksheet time: 58mins

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