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Year 9 Progress test III

Total questions: 36

Worksheet time: 47mins

Name
Class
Date
1.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

2.

A clothes shop is holding a 20% sale during the month of January. Gina wants to buy a new pair of jeans which used to cost €18. How much is she going to pay now?

a)

€14.40

b)

€15.00

c)

€10.00

d)

€12.20

3.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

4.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
5.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
6.
A regular polygon has an EXTERIOR angle with a measure of 60.  How many sides does it have?
a)
6
b)
120
c)
3
d)
60
7.

The measures of one interior angle of a regular polygon is 140o. What is the name of the polygon?

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Hexagon

8.

The ratio of 12 apples to 8 bananas may be written as

a)

8:12

b)

2:3

c)

3:2

d)

16:24

9.

A bag contains come blue and red counters. The ratio of blue counters to red counters is 2 : 3. There are 14 red counters. How many blue counters are there?

a)

21

b)

7

c)

5

d)

15

10.

Three angles of a triangle are in the ratio 2 : 3 : 5. The smallest angle is 50⁰. Work out the size of the largest angle.

a)

115⁰

b)

125⁰

c)

135⁰

d)

145⁰

11.

Calculate the gradient of the line drawn below.

a)

Gradient=3

b)

Gradient=2

c)

Gradient=-2

d)

Gradient=-3

12.

Find the gradient of the line passing through the points (3,-5) and (7,11).

a)

Gradient=3

b)

Gradient=7

c)

Gradient=16

d)

Gradient=4

13.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

14.

What is the length of c?

a)

5

b)

7

c)

6

d)

25

15.

What kind of triangles does the Pythagorean theorem work with?

a)

right

b)

left

c)

isosceles

d)

quadrilateral

16.
Evaluate x.
a)
35
b)
20
c)
8
d)
12
17.
What is the total number of faces in Figure 1 and Figure 2?
a)
14
b)
13
c)
12
d)
11
18.

This solid figure has 6 faces, 12 edges and 8 vertices.

Which solid figure is it?___________

a)
b)
c)
d)
19.

What is the nth term for the sequence

4, 9, 14, 19, 24, ....

a)

5n+1

b)

n+5

c)

5n-1

d)

5n+4

20.

Generate the first 4 terms of the sequence with the following nth term rule...


8n - 4

a)

4, 12, 20, 28...

b)

4, 8, 12, 16...

c)

12, 20, 28, 36...

d)

12, 16, 20, 24...

21.
If James sells his car for $1,000 and bought it for $2500. What is the percentage loss made on the car.
a)
15%
b)
10%
c)
60%
d)
150%
22.

Calculate the percentage loss if an item is bought for $70 and sold for $49

a)

21%

b)

119%

c)

30%

d)

49%

23.

Calculate the percentage loss if an item is bought for $400 and sold for $364

a)

90%

b)

10%

c)

9%

d)

36%

24.

Find the probability of picking two blue pens

a)

5690\frac{56}{90}

b)

1690\frac{16}{90}

c)

64100\frac{64}{100}

d)

1590\frac{15}{90}

25.

The scatter graph shows the relationship between the age of a car and its value.


Describe the correlation shown on the diagram

a)

Positive

b)

Negative

c)

No Correlation

26.

What type of correlation is shown?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

27.

The chart shows the cost and length of some plumbing jobs. Estimate the cost of a job lasting 3.5 hours.

a)

£160

b)

£180

c)

£200

d)

£220

28.

Find the volume of the cuboid.

a)

36cm

b)

36cm²

c)

36cm³

d)

36cm⁴

29.

The side of die whose volume is 125 cm3 is

a)

2.5 cm

b)

25 cm

c)

62.5 cm

d)

5 cm

30.

Calculate the volume of this cuboid.


(a)   cm3

31.
Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72
a)
15 kg for $32.25
b)
4 kg for $8.72
c)
Neither
32.
Which is the best buy?
7 pencils for $1.40
6 pencils for $1.26
a)
7 pencils for $1.40
b)
6 pencils for $1.26
c)
Neither
33.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
34.
Trevor is making a tablecloth for a circular table with a diameter of 40 inches. How many inches of tablecloth does he need? 
a)
125.6 in²
b)
251.2 in²
c)
1256 ft²
d)
1256 in²
35.

Find the area of this 2D shape

a)

15 sq cm

b)

60 sq cm

c)

120 sq cm

d)

24 sq cm

36.

Find the area of the triangle

a)

4.56

b)

6.12

c)

5.12

d)

5.64

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