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WorksheetsYear 8 Set A
Total questions: 32
Worksheet time: 33mins
Name
Class
Date
1.
What is it called when two or more of the same units are being compared?
a)
Rate
b)
Ratio
c)
Proportion
d)
Unit Rate
2.
There are 4 birds and 6 butterflies. What is the ratio of birds to butterflies?
a)
6/4
b)
2/3
c)
1/3
d)
10/16
3.
There are 4 birds and 6 butterflies. What is the ratio of birds to total animals?
a)
4/10
b)
2/5
c)
6/4
d)
10/4
4.
Express 12 baskets in 18 attempts as a ratio in simplest form.
a)
3 to 2
b)
6 to 9
c)
2:3
d)
12/18
5.
Simplify the ratio of:
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
No Option is Correct
6.
What is the ratio of red apples to green apples?
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
7.
Which ratios are proportional?
a)
10/20 and 20/40
b)
10/17 and 20/40
c)
13/18 and 16/25
d)
1/4 and 1/3
8.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
9.
What is the ratio of flames to arms on the candle?
a)
3:2
b)
3:5
c)
11/10
d)
2:3
10.
There are 4 aces in a deck of 52 playing cards, express aces to other cards as a simplified ratio.
a)
4:48
b)
2:24
c)
1:12
d)
10:120
11.
A store has 30 gas heaters and 20 electric heaters in its warehouse. Find the ratio of gas heaters to electric heaters in simplest form.
a)
30:20
b)
2:3
c)
3:2
d)
20:30
12.
[CHALLENGE!]
Zoe buys goods for $320 and sells them for $380. Find the ratio of the cost price to the selling price in simplest form.
Zoe buys goods for $320 and sells them for $380. Find the ratio of the cost price to the selling price in simplest form.
a)
320:380
b)
8:9
c)
32:38
d)
16:19
13.
Using the letters of the phrase STATE OF MASSACHUSETTS write a ratio for A to T.
a)
4:4
b)
3:4
c)
1:4
d)
4:3
14.
Simplify 18m to 1 km.
a)
18:1
b)
18:100
c)
18:1000
d)
9:500
15.
Simplify 5 days to 7 weeks.
a)
5:7
b)
5:35
c)
5:49
16.
Simplify 8 months to 4 years.
a)
8:4
b)
2:1
c)
8:12
d)
1:6
17.
Simplify 1.5 kg to 500 g.
a)
1:3
b)
1:5
c)
3:1
d)
5:3
18.
[CHALLENGE!]
On a map, if one centimetre represents 25 kilometres, how many kilometres does 7 centimetres represent?
On a map, if one centimetre represents 25 kilometres, how many kilometres does 7 centimetres represent?
a)
175
b)
185
c)
200
d)
220
19.
[CHALLENGE!]
If there are 5 boys for every 7 girls in a math class, how many boys are there if there are 35 girls?
If there are 5 boys for every 7 girls in a math class, how many boys are there if there are 35 girls?
a)
20
b)
25
c)
30
d)
35
20.
[CHALLENGE!]
Divide 80 in the ratio 9:7.
Divide 80 in the ratio 9:7.
a)
9:7
b)
45:35
c)
36:28
d)
50:30
21.
Factorise: 6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
22.
Factorise: 4x + 14
a)
2(x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
23.
Factorise: 8x + 12
a)
4(x+2)
b)
8(x+4)
c)
4(x+3)
d)
4(2x+3)
24.
Factorise: 6x + 18
a)
3(2x + 6)
b)
6(x+3)
c)
2(3x+9)
d)
6(x+12)
25.
Factorise: 20x + 30
a)
10(2x+3)
b)
10(x+3)
c)
5(4x+6)
d)
2(10x+15)
26.
Factorise: 10x + 15
a)
5(x+3)
b)
2(5x+7)
c)
10(x+5)
d)
5(2x+3)
27.
Factorise
x2 + 8x + 12
x2 + 8x + 12
a)
(x + 3)(x + 4)
b)
(x + 6)(x + 2)
c)
(x + 4)(x + 4)
d)
(x + 1)(x + 12)
28.
Factorise
x2 + 15x + 36
x2 + 15x + 36
a)
(x + 6)(x + 6)
b)
(x + 9)(x +4)
c)
(x + 4)(x + 9)
d)
(x + 12)(x + 3)
29.
Factorise
x2 + 8x
x2 + 8x
a)
(x + 2)(x + 4)
b)
(x + 8)(x + 1)
c)
x(x + 8)
d)
2x(x + 4)
30.
3(4 + c)
a)
12 + 3c
b)
7 + c
c)
3 + 3c
d)
4 + c
31.
Expand 3(4d - 3)
a)
12d - 9
b)
7d - 6
c)
34d - 33
d)
12d2 - 9
32.
Expand 3z(4z + 6)
a)
12z2 + 18z
b)
34z2 + 18
c)
12z2 + 18
d)
12z2 - 18z
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