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Grade 10 Maths Holiday Assignment- April 2023

Total questions: 27

Worksheet time: 2hrs 15mins

Name
Class
Date
1.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
2.
Given  S = { m, 4, 7, 9 }  and 
T = { 4, 9, 3, n }. 
If set  S  and set  T  are equal sets,
the   value of  m + n =
a)
14
b)
12
c)
10
d)
8
3.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
4.
a)
Z ⊂ X
b)
Y ⊂ Z
c)
Z ∩ Y = Z
d)
Z ⊂ ( X ∩ Y )
5.
a)
{ 3, 7 }           
b)
{ } , { 3 } , { 7 }
c)
{ 3 } , { 7 } , { 3, 7 }
d)
{ } , { 3 } , { 7 } , { 3, 7 }
6.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
7.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
8.
Solve: 4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
9.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
10.
Solve the following equation,
x + 7 = 28
a)
x = 35
b)
x = 4
c)
x = 196
d)
x = 21
11.
Solve the following equation,
3x + 6 = 21
a)
x = 9
b)
x = 5
c)
x = 15
d)
x = 27
12.
5(2x - 7) = 80
a)
x = 11.5
b)
x = 115
c)
x = 12
d)
x = 16
13.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
14.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
15.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

16.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

17.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

18.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

19.

Solve
3x+y=13x+y=1  
x2y=19x-2y=19  



a)

x=4, y=3x=-4,\ y=3  

b)

x=3, y=4x=3,\ y=-4  

c)

x=3, y=8x=3,\ y=-8  

d)

x=4, y=8x=4,\ y=8  

20.

Solve
3x + 4y = 73x\ +\ 4y\ =\ 7  
5x2y=165x-2y=16  

a)

x = 3, y = 12x\ =\ 3,\ y\ =\ -\frac{1}{2}  

b)

x=3, y = 12x=-3,\ y\ =\ \frac{1}{2}  

c)

x=12, y=3x=\frac{1}{2},\ y=-3  

d)

x=12, y=3x=-\frac{1}{2},\ y=-3  

21.

Convert 1234 to base 10?

a)

18

b)

123

c)

27

d)

25

22.

What is the value in base 10?

(101011)2\left(101011\right)_2  

a)

45

b)

34

c)

43

d)

86

23.

Given f(x)=8x35f\left(x\right)=\frac{8x-3}{5}   Find  f1(x)f^{-1}\left(x\right)

a)

5(8x+3)5\left(8x+3\right)  

b)

5x8+6\frac{5x}{8}+6  

c)

5(x+3)8\frac{5\left(x+3\right)}{8}  

d)

5x+38\frac{5x+3}{8}  

24.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
25.

Factorise: x2 + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

26.

What is the equation of the axis of symmetry?

a)

y = 4

b)

y = -4

c)

x = 4

d)

x = -4

27.
a)
{ 3, 7 }           
b)
{ } , { 3 } , { 7 }
c)
{ 3 } , { 7 } , { 3, 7 }
d)
{ } , { 3 } , { 7 } , { 3, 7 }