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Year-12-Mathletics

Total questions: 20

Worksheet time: 22mins

Name
Class
Date
1.

Find the gradient of the line that passes through (3,4) and (2,2).

a)

Gradient=-2

b)

Gradient=4

c)

Gradient=2

d)

Gradient=3

2.
Simplify: 64x16y12 ÷ 4x8y3
a)
16x8y9
b)
16x2y4
c)
60x8y9
d)
60x2y4
3.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
4.
What is the area of a circle with a diameter of 10 cm ?
a)
31.4 cm²
b)
78.5 cm²
c)
15.7 cm²
d)
314 cm²
5.

Find the mean of the numbers below:


1, 8, 7, 5, 6, 4, 7, 6

a)

5

b)

5.5

c)

6

d)

6.5

6.

What is the area of this triangle?

a)

31.5 units2

b)

63 units2

c)

77 units2

d)

99 units2

7.
Determine where T' would be if you translated T three units to the right and six units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
8.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
9.

8 m2m^2  =__________ cm2cm^2  

a)

80

b)

800

c)

8 000

d)

80 000

10.

What is the perimeter of the shape?

(a)  

11.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V =  ⅓πr²h
d)
V =  ⅓LWH
12.

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

a)

88/3

b)

28

c)

66/4

d)

24

13.

How many blocks are in the next pattern?

a)

22

b)

24

c)

26

d)

28

14.
Extend this
NON-NUMERIC pattern
∎ ⊙ ⊠ ⊙ ∎ ⊙ ⊠ 
a)
⊙ ⊙ ⊙
b)
⊙ ⊟⊟ ⊙
c)
⊙ ∎ 
d)
≗ ≘ ∗
15.

The square numbers between 60 and 90 are

a)

70 ,80

b)

64, 81

c)

65 , 85

d)

77, 88

16.

What smallest number should be added to 120 to make it a square number ?

a)

One

b)

Two

c)

Three

d)

Four

17.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
18.
Simplify the algebraic fraction.
a)
16/p2q
b)
16p2q
c)
p2q/16
d)
16q/p2
19.

Irfan is x years old. what will be his age in 5 years time?

a)

x-5

b)

x+5

c)

5x

d)

x/5

20.
Given f(x) = 2x and
g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6