Dubai Gem Private School
Math Revision Pack 2022 June
YR 8
Q1) Multiply the following numbers given in standard form. Write the final answer in
standard form. .
a) (6.89 x10 6 ) (8.9x10 4 )
b) (5.83x10 4 )(6.21x10 3 )
Q2) Solve without using a calculator.
2 3
a) +
6 12
2 3
3 −1
b) 5 10
5 44
c)
11 10
10 20
d)
7 21
Q3) Round the numbers in the table to given accuracy
Q4) The length of a line is 63 centimetres, correct to the nearest centimetre.
(a) Write down the least possible length of the line
(b) Write down the greatest possible length of the line.
Q5) There are 50 students in a class. If 14% are absent on a particular day, find the number of
students present in the class.
Q6) A car was priced at £3200 but was reduced to £2000. What was the percentage
reduction?
Q7) Emily drives 186 miles in 3 hours.(a) What is her average speed? Sarah drives at an
average speed of 58 mph for 4 hours. (b) How many miles does Sarah drive?
Q8) Find the nth term of the following sequences
a) 3,9,15,21,……
b) 10,7,4,1,……
Q9) Find the first 5 terms for each sequence.
a) 5n+3
b) 3n-2
Q10) Work out
2.7 8.3 (12 − 2.7)
a) writing down your full calculator display.
b) Write the above answer to 2 decimal places and 3 significant figures
c) Find the LCM of 108 and 144 (Show full working)
Q11) Show all your working for the following calculation.
3 1 5
a) +
5 3 7
b) Paris the capital of France has an area of 1.05 × 10 8 square meters where as
Wellington has an area of 290,000,000 square meters. Convert the area of wellington
to standard form . Which has a bigger area?
Q12) a) Divide $60 in the ratio 11:4
b) Express 5:6 in the form 1:n.
c)A car can travel 240km in 15 litres of petrol. How much distance will it travel in 25
litres of petrol?
d) A field of grass feeds 24 cows for 6 days. For how many days would the same field
feed 18 cows?
Q13) A ladder 13 m long is placed on the ground in such a way that it touches the top of a
vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall. .
Q14) Find ALL the missing side and angle measures of the triangles below. Round your
answers to 2d.p.
Q15) a) Calculate the area and arc length of the sector. Give your answer correct to 3
significant figures.
Find the volume of the triangular prism
Q16) Factorise the following expressions:
a) 4w² + 10w
b) x² − 2x – 24
c) x² + 5x – 24
d) 2y² − 50
Q17) Solve the following quadratic equations.
1. ( x + 5)( x − 8) = 0
2. (3x − 2)(5 x − 1) = 0
3. x 2 − 5 x − 14 = 0
Q18) Expand and simplify
a) w(w + 5) + w(w + 7)
b) m(a + 7) − a(4 − 3m)
c) y(y² − 7)
Q19) a) Change the subject of the formula: dx − t = 8 (x as the subject)
b) If P = 2L + 2W, work out P if L = 8 and W = 3.
c)
Q20) Solve the following simultaneous equations:
a) 2x + 4y = 14
4x − 4y = 4
b) 3x − y = 23
2x + 3y = 8
Q21) Find the missing angles in the above figures
