Free Printable SS 1 MATHS

1.

Solve the equation Cos x = Sin (x + 50 )

a)

50

b)

70

c)

40

d)

20

2.

Simplify

\sqrt{160r^2+\sqrt{71r^4+\sqrt{100r^8}}}

a)

$9r^2$

b)

$12\sqrt{3r}$

c)

$13r$

d)

$\sqrt{13r}$

3.

\sqrt{\left(64r^{-6}\right)^{\frac{1}{3}}}

a)

$\frac{r}{2}$

b)

$2r$

c)

$\frac{1}{2r}$

d)

$\frac{2}{r}$

4.

Solve the equation

8^{2x-1}=\frac{1}{512}

a)

4

b)

1

c)

-1

d)

-2

5.

What is

\left(10^{-3}\times5^{2x+5}\times4^{x-2}\right)^0\ ?

a)

$1$

b)

$0$

c)

$\frac{1}{4}$

d)

$200^{3x+3}$

6.

In a class of 80 students, every student studies Economics or Geography or both. If 65 students study Economics and 50 study Geography. How many study both subjects?

a)

$15$

b)

$30$

c)

$35$

d)

$45$

7.

If n(P) = 21, n(R) = 33 and $n\left(P\cup R\right)=46$ , find $n\left(P\cap R\right)$

a)

8

b)

43

c)

58

d)

100

8.

$If\ \theta\ is\ acute\ and\ \cos\theta=\frac{1}{2},\ find\ \cot^2\theta$

a)

$\frac{1}{\sqrt{3}}$

b)

$\frac{1}{3}$

c)

$\frac{2}{\sqrt{3}}$

d)

$3$

9.

$If\ 4\sin^2x-3=0,\ 0\le x\le90^0.\ Find\ the\ value\ of\ x$

a)

$30$

b)

$45$

c)

$60$

d)

$90$

10.

$If\ \tan\ B=\frac{5}{12}\ where\ B\ is\ an\ acute\ angle,\ evaluate\ \frac{\cos B}{\sin B\ +\cos B}$

a)

$\frac{5}{17}$

b)

$\frac{12}{17}$

c)

$\frac{17}{13}$

d)

$\frac{11}{17}$

11.

$If\ \sin Q=-\frac{1}{2}\ where\ 0^0\le Q\le360^0,\ find\ the\ possible\ values\ of\ Q$

a)

$30^0,\ 150^0$

b)

$150^0,\ 240^0$

c)

$120^0,\ 330^0$

d)

$210^0,\ 330^0$

12.

A rectangular field has a dimension of (2x + 5)m and (x +1)m. If the perimeter of the field is 36m, find the area of the field.

a)

$46\ m^2$

b)

$56\ m^2$

c)

$60\ m^2$

d)

$65\ m^2$

13.

Which of these is a quadrilateral?

a)

Heptagon

b)

Kite

c)

Cube

d)

Sector

14.

Which of these has the largest area?

a)

A circle of radius 7 cm

b)

A square of side 7 cm

c)

An equilateral triangle of side 7 cm

d)

All have the same area.

15.

The area of a circular playing ground is 154 m². What is the perimeter of the playing ground?

a)

176 m

b)

88 m

c)

48 m

d)

44 m

16.

The area of a circle is 38.5 cm². Find its diameter.

a)

22 cm

b)

14 cm

c)

7 cm

d)

6 cm

17.

$(π=22/7)$

A sector is cut off from a circle of radius 8.2 cm to form a cone. If the radius of the resulting cone is 3.5 cm, calculate the curved surface area of the cone.

a)

$90.2\ cm^2$

b)

$67.2\ cm^2$

c)

$22.0\ cm^2$

d)

$12.8\ cm^2$

18.

$Calculate\ the\ surface\ area\ of\ a\ sphere\ of\ radius\ 7cm.\ \ (π=22/7)$

a)

$154\ cm^2$

b)

$143\ cm^2$

c)

$616\ cm^2$

d)

$308\ cm^2$

19.

A box of height 8 cm has a volume of 320 cm³. What is the volume of a similar box of height 6 cm?

a)

$1920\ cm^3$

b)

$240\ cm^3$

c)

$135\ cm^3$

d)

$48\ cm^3$

20.

If a cone is formed from the section of a circle, which of the following will represent the slanting height of the cone?

a)

The radius of the circle

b)

The arc of the circle

c)

The chord of the circle

d)

The vertical distance between the chord and the centre of the circle.

21.

The sum of the interior angles of a polygon of n sides is 900⁰. Find the value of n.

a)

5

b)

7

c)

9

d)

11

22.

A company employs 100 people, 65 of whom are men. 60 people, including all the women, are paid weekly. How many of the men are paid weekly?

a)

25

b)

35

c)

15

d)

5

23.

The ratio of the exterior angle to the interior angle of a regular polygon is 2:5. How many sides has the polygon?

a)

7

b)

9

c)

11

d)

13

24.

The diagonal of a square is 60 cm. Calculate its perimeter

a)

$30\sqrt{2\ }cm$

b)

$40\sqrt{2}cm$

c)

$90\sqrt{2}cm$

d)

$120\sqrt{2}cm$

25.

The area of a rhombus is 110 cm². If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

a)

2.5 cm

b)

5.0 cm

c)

5.5 cm

d)

10.0 cm

26.

$If\ S\subset R,\ then$

a)

$S\cap R=R$

b)

$S\cap R=S$

c)

$S\cup R=S$

d)

$S\cap R=\phi$

27.

$\xi=\left\{0<x\le20\right\}$

P = (multiples of 3}
Q = {multiples of 4}
What are the elements of $P^c\cap Q$ ?

a)

$\left\{1,2\right\}$

b)

$\left\{3,4,6,8,12,15,16,18,20\right\}$

c)

$\left\{4,8,16,20\right\}$

d)

$\left\{3,6,9,15,18\right\}$

28.

$If\ \cos\ 60^0=\frac{1}{2},\ which\ of\ the\ following\ angles\ has\ a\ \cos ine\ of\ -\frac{1}{2}?\$

a)

$30^0$

b)

$120^0$

c)

$150^0$

d)

$210^0$

29.

Cos x is negative and Sin x is negative. Which of the following is true about x?

a)

$0^0<x<90^0$

b)

$90^0<x<180^0$

c)

$180^0<x<270^0$

d)

$270^0<x<360^0$

30.

The angle of elevation of Y from X is 30⁰. What is the angle of depression of X from Y?

a)

$30^0$

b)

$60^0$

c)

$240^0$

d)

$330^0$

31.

$What\ is\ the\ value\ of\ \tan315^0?$

a)

$\frac{1}{\sqrt{2}}$

b)

$-\frac{1}{\sqrt{2}}$

c)

$0$

d)

$-1$

32.

$Given\ that\ \tan x=\frac{5}{12},\ what\ is\ the\ value\ of\ \sin x+\cos x?$

a)

$\frac{7}{13}$

b)

$\frac{17}{13}$

c)

$\frac{5}{13}$

d)

$\frac{12}{13}$

33.

A cuboid of base 12.5 cm by 20 cm holds exactly 1 litre of water. What is the height of the cuboid? (1 Litre = 1000 cm³)

a)

2 cm

b)

4 cm

c)

5 cm

d)

10 cm

34.

Two solid spheres have volumes 250 cm³ and 128 cm³ respectively. Find the ratio of their radii.

a)

125:64

b)

25:16

c)

4:5

d)

5:4

35.

A rope of length 18 m is used to form a sector of circle of radius 3.5 m. What is the size of the angle of the sector, correct to the nearest degree?

a)

$33^0$

b)

$90^0$

c)

$180^0$

d)

$140^0$

36.

The lengths of the parallel sides of a trapezium are 16 cm and 19 cm. if the height of the trapezium is 4 cm, find its area.

a)

$54\ cm^2$

b)

$70\ cm^2$

c)

$35\ cm^2$

d)

$40\ cm^2$

37.

Find the base radius of a cone generated by the sector of a circle of radius 12 cm and arc length 22cm. (π=22/7)

a)

12 cm

b)

21 cm

c)

32 cm

d)

3.5 cm

38.

If M = {x: 3≤x<8} and N = {x: 3≤x<12}, which of the following is true?

a)

8 ∈ (M∩N)

b)

M∩N = N

c)

M∪N = M

d)

n(M∪N) = 9

39.

A and B are two sets. The number of elements in A∪B is 49, the number in set A is 22 and the number in set B is 34. How many elements are in A∩B?

a)

105

b)

27

c)

12

d)

7

40.

What is the volume of a cube if the diagonal of one of its square faces is √50 cm?

a)

5√25 cm³

b)

125 cm³

c)

25 cm³

d)

625 cm³

41.

Which of the options represents the shaded part?

a)

A∪B

b)

(A∪B)^c

c)

A^c∩B

d)

(A∩B)^c

42.

How many elements are in PnR as shown in the diagram below?

a)

1

b)

2

c)

3

d)

4

43.

The graph below represents which of the following?

a)

Sine graph

b)

Cosine graph

c)

tangent graph

d)

None of the above

44.

The graph below represents which of the following?

a)

Sine graph

b)

Cosine graph

c)

tangent graph

d)

None of the above

45.

Calculate the perimeter of trapezium PQRS

a)

24 cm

b)

36 cm

c)

44 cm

d)

72 cm

46.

Calculate the area of trapezium PQRS.

a)

72 cm²

b)

70 cm²

c)

140 cm²

d)

88 cm²

47.

From the diagram above, which of the following is true?

a)

m + n + p = 180⁰

b)

m + n = 180⁰

c)

m – p + n = 180⁰

d)

m + n = p

48.

The shaded portion in the diagram above is…?

a)

(P∩R)^c∩Q

b)

P∩Q^c∩R

c)

P^c∩Q∩R^c

d)

P∩Q^c∩R

49.

Evaluate (212)₃ – (121)₃ + (222)₃

a)

(313)₃

b)

(1000)₃

c)

(1020)₃

d)

(1222)₃

50.

If 2257 is the result of subtracting 4577 from 7056 in base n, find n.

a)

8

b)

9

c)

10

d)

11

SS 1 MATHS

Total questions: 50

Worksheet time: 50mins

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