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Worksheets

SS 1 online test

Total questions: 40

Worksheet time: 55mins

Name
Class
Date
1.

Solve the equation 3y² + 13y -10=0

a)

2/3; 5

b)

-2/3; -5

c)

2/3; -5

d)

-2/3; 5

2.

Solve for x: 2x2=32

a)

+4; -4

b)

4

c)

-4

d)

-4; -4

3.

9p² - 16=0. Find p

a)

4/3; -4/3

b)

3/4; -3/4

c)

3/4; 4/3

d)

-4/3; -3/4

4.

Express 0.0000618 in standard form

a)

6.18 x 10^-4

b)

6.18 x 10^-5

c)

61.8 x 10^-5

d)

0.618 x 10^-4

5.

Find the value of x: if 63=x (mod 9)

a)

2

b)

7

c)

0

d)

15

6.

Evaluate ( 11101 x 11) + 101. All numbers are in base 2

a)

1111100

b)

1101111

c)

1110111

d)

1011100

7.

If x α y and 1/y α z; how does x vary with z

a)

x α yz

b)

x α z

c)

x α 1/z

d)

x α 1/y

8.

Find the quadratic equation whose roots are 2/3 and -9

a)

3x² -25x + 18=0

b)

3x² + 25x -18=0

c)

x² -25x +18=0

d)

x² +25x -18=0

9.

Solve for x, if 128^x = 0.25

a)

-1/7

b)

1/7

c)

-2/7

d)

2/7

10.

Find log32567

a)

4.5128

b)

4.5127

c)

45.128

d)

45.127

11.

If 210X (base 4)=146 (base 10)

a)

1

b)

2

c)

3

d)

4

12.

If 2p+m=7 and 3p-2m=3. What is the difference between 7p and 10

a)

1

b)

3

c)

7

d)

10

13.

If Cosβ=Sin50°, then β is

a)

90°

b)

50°

c)

45°

d)

40°

14.

Evaluate (56000 x 0.07)/0.014, leaving your answer in standard form

a)

2.8 x 10^7

b)

2.8 x 10^5

c)

2.8 x 10^4

d)

2.8 x 10^-3

15.

Solve for x: 5(2^(x-3))=160

a)

6

b)

7

c)

8

d)

10

16.

Given that a+b=3/2 and a-b=5/2; the value of 2b+a is

a)

1

b)

1/2

c)

-1

d)

-2

17.

Solve the equation 5x²=3x

a)

x=0 or 3/5

b)

x=0 or 5

c)

x=3 or 5/3

d)

x=0 or -3/5

18.

Express 0.00037 in standard form

a)

3.7 x 10^-7

b)

3.7 x 10^-4

c)

3.7 x 10^-5

d)

3.7 x 10^-3

19.

Solve for x: 27^(x/2)=3^(3/4) x 9^-(1/4)

a)

6

b)

1/6

c)

3

d)

1/3

20.

The equation whose roots are 1/2 and -7 is

a)

2x²-13x-7=0

b)

2x²+13x-7=0

c)

2x²+7x-14=0

d)

2x²+14x-7=0

21.

Evaluate 81^-(1/4) x 36^(1/2) x 10^0

a)

0

b)

1

c)

2

d)

20

22.

A school went into a sports fiesta with a contigent which includes 11 footballers and 8 sprinters. If 3 of the footballers are also sprinters, how many of the students are either footballers or sprinters

a)

11

b)

14

c)

16

d)

19

23.

If tanΦ=5/12; then the value of SinΦ-CosΦ is

a)

5/13

b)

7/13

c)

12/13

d)

-7/13

24.

The hypotenuse of a right-angled isosceles triangle is 8units. The length of each of the other sides is

a)

4√2

b)

4/√2

c)

4

d)

4(√2-1)

25.

If x-3 is directly proportional to the square of y and x=5 when y=2. Find x when y=6

a)

18

b)

21

c)

22

d)

15

26.

Simplify (27/64)^-2/3 x √(36/100)

a)

3/80

b)

9/20

c)

4/5

d)

16/15

27.

If SinΦ=1/2 and 0°<Φ<90°. Evaluate: Cos²Φ/tan (90°-Φ)

a)

√3/4

b)

√3/2

c)

4/√3

d)

4√3

28.

A ladder of length 5m rests against a vertical wall and makes an angle of 30° with the wall. How far is the foot of the ladder from the wall

a)

2½m

b)

5√3/2m

c)

5m

d)

5√2m

29.

Given that x varies inversely as the square of y and that when x=2, y=1/3. Find the value of x when y=1/2

a)

8/9

b)

2/3

c)

1/6

d)

5/4

30.

In a class of 60 students, 40 speak Hausa while 19 speak Igbo and 7 students speak both languages. How many students speak neither of the languages

a)

11

b)

8

c)

7

d)

6

31.

If U={ 5,6,7,8}; P={ 6,7} and Q={ 6,8}; then (P n Q)' is

a)

{5,6,7}

b)

{5,7,8}

c)

{6,7}

d)

{5,8}

32.

Given that SinΦ=4/5, the value of 1-Cos²Φ for 0°<Φ<90° is

a)

16/25

b)

9/25

c)

9/16

d)

2/5

33.

33 of the students in a class play either football or table tennis if 22 students play football and 18 play table tennis. How many students play football only

a)

7

b)

11

c)

15

d)

17

34.

If Cosα=4/5, then for 0°<α<90°; tanα is equal to

a)

5/4

b)

4/3

c)

3/4

d)

5/3

35.

x is partly constant and partly varies with y. When y=3, x=7; and when y=6,x=9. Find x when y=4

a)

3/23

b)

23

c)

3

d)

23/3

36.

If 4p+3q=5 and 3p+5q=4; the value of 11(p+q) is

a)

-12

b)

14

c)

12

d)

11

37.

If m α 1/n and m=7 when n=10. Find the formula which connects m and n

a)

mn=70

b)

m=n/70

c)

mn=7

d)

n=70m

38.

Find the smaller value of a for which a²-3a+2=0

a)

-1

b)

-2

c)

2

d)

1

39.

In a class of 45 students, every student has to offer either Chemistry or Economics or both. If 25 students offer Chemistry while 34 offer Economics; how many students offer both subjects.

a)

20

b)

15

c)

14

d)

11

40.

The equation whose roots are -1/4 and -2/3 is

a)

12a²+11a+2=0

b)

12a²-11a+2=0

c)

12a²-11a-2=0

d)

12a²+11a-2=0