Year 8 NUMBER Practice END of YEAR April 2021
Name:___________________________ Teacher:_________________________
3
1) Find 8 of 56. 2) Find the missing number in 1)______________(1)
2 12
=
3 x 2)______________(1)
19
3) Change 0.12 to a percent. 4) Change 20 to a decimal. 3)______________(1)
4)______________(1)
280
5) Simplfy 420 . 6) Change 0.44 to a reduced fraction. 5)______________(1)
6)______________(1)
13
7) Find the missing number in: 8) Change 40 to a decimal. 7)______________(1)
6 15
=
8 x 8)______________(1)
1 1
4
9) Find 35% of 60. 10) How many 8 ´s are there in 2 ? 9)______________(1)
10)______________(1)
9 44 1 2
× 1 ×2
11) Calculate 11 45 . 12) Calculate 4 5 . 11)______________(2)
12)______________(2)
13) Calculate 14) Calculate 13)______________(2)
0 . 86×0. 04 2 . 4÷80
14)______________(2)
15)_____________(2)
7 5 1 9
9 +5 13 −7
15) Calculate 8 6 16) Calculate 4 10
16)_____________(2)
17) Calculate 18) Calculate 17)_______________(3)
1 1 7 2 3 5
10 ×1 × ×2 8 ÷
8 14 27 15 4 6 18)_______________(2)
19) Express 7p as a percentage of 56p 20) Simplify 35ml : 20cl 19)_______________(2)
20)_______________(2)
3 5
1 :1
21) Simplify 0.7mm : 0.14cm 22) Simplify 4 6 . 21)_______________(2)
22)_______________(2)
23) The ratio of red to black balls is
23)_______________(2)
8:7. If there are 45 balls altogether
how many of black balls are there?
24) The ratio of boys to girls is 7:5. If there 24)_______________(2)
are 60 girls, how many boys are there?
25) The scale of an OS map is 1 : 50 000. The distance between two points on the map is 5 cm. What is
the true distance in km?
25)_______________(2)
26) On my map of Madrid I measure the distance between the Palace and the British Council School to
be 20 cm. The scale of the map is 1 : 30 000. What is the true distance in km?
26)_______________(2)
27) The original price of a radio is $60. If it goes 27)_______________(2)
on sale for 45% off, what is the sale price?
28) Find the original price of a painting if it is increased in 26)_______________(2)
value by 20% to a final price of $72.
29) There were 80 students that passed the French test last 27)_______________(2)
year. If they expect 35% more students to pass next
year, how many students do they expect to pass next year?
30) Betty walks 48 metres in 16 minutes. If she walks at the same pace, how far can she walk in
7 minutes?
28)_____________(2)
61
31) Write in standard form: 32) Calculate: 33) a) change 8 to mixed.
7
6
a) 467 000 1% of 240 b) change 8 to improper.
b) 0.0236 10% of 240 c) calculate 78.4 – 9.788
c) 8 5% of 240
25% of 320
Write as a normal number: 35% of 240
1
−4 33 %
d) 4.23¿ 10 3 of 1800
6
e) 7.6 ¿ 10 12.5% of 480
1 19 3 9 3
, , , ,
34) Simplify 35) Put 2 20 4 10 5 in decreasing order.
a) 8−2+6×9+6+10×11
b) 8+3×4
c) Put symbols (),+,-,¿ ,¿ 36) Round to the significant figures stated in brackets:
To make the sentence true. a) 5786.2 (2)
16 12 4 = 19 b) 0.04735 (2)
3 4 25 5 = 17 c) 24.6 (1)
2 3 3 2 = 17 d) 28.9 (2)
1 5 3 3
+ × −
37) Round to the decimal place specified: 38) Calculate 2 6 10 16
a) 45.96 (1)
b) 32.675 (1)
c) 0.2999 (2)
39) Find the value of: 40) Write in single index form:
4 −8 12
a) 2 a) 7 ×7
0 6 3 13
b) 6 b) 4 ×4 ÷4
−9 −8
c) −32 6
c) 5 ÷5 ÷5
2
d) (0 .5 ) d) 100 000 000
4
e) 10 e) 81
1
−2
f) 7 f) 4
−8 −3 3
g) 8 ÷8 ×8
2 2
41) I am reading a good book. Last night I read of it. This morning before school I read of it. I
5 10
have 50 pages left to read.
(i) How many pages are in the book?
(ii) How many pages did I read this morning and last night?
6 6
42) Mateo, Valeria and María are going for head student. Mateo receives , Valeria of the votes
14 21
and
María 40 votes.
(i) What fraction of the votes did María receive?
(ii) How many students voted in total?
(iii) How many votes did Mateo receive?
3 1
43) Ellen collects elastic bands. are yellow, are green and 24 are pink.
18 3
(i) How many elastic bands does Ellen have in total?
(ii) What fraction of elastic bands are pink?
(iii) How many elastic bands are yellow?
4 4
44) Pablo collects cards. are special cards, are normal cards and 30 are repeated cards.
16 8
(i) How many cards does Pablo have in total?
(ii) What fraction of the cards is repeated cards?
(iii) How many cards are normal cards?
45) Write the first 6 multiples of 15:
Write the factors of 108:
Write the factors of 64:
Write the all the prime numbers between 60 and 90:
Write 126 as a product of prime factors in index form:
46) Find the HCF and LCM of:
a) 64 and 108:
b) 210 and 85:
c) 120 and 54:
d) 200 and 210
