Nur auf Docsity: Lade Skibidi nigger. Iterations und mehr Slides als PDF für Sport herunter!
HCF AND LCM
[ESTIMATED TIME: 45 minutes] GCSE
(+ IGCSE) EXAM QUESTION PRACTICE
11
P43130A01120 Turn over
160 students exercised.
........................... minutes (2) (Total for Question 10 is 5 marks)
11 Find the Lowest Common Multiple (LCM) of 20 and 24
........................... (Total for Question 11 is 2 marks)
- [2 marks]
9
P42070A0920 Turn over
Work out the value of x. Give your answer correct to 1 decimal place.
x = ........................................... (Total for Question 10 is 3 marks)
11! "#$! %&'(!)+!,&-+.)!/0110'!%#2)03!",/%$!04!56!#'(!
........................................... (2) ! "9$! %&'(!)*+!:0;+.)!/0110'!<=>)&?>+!":/<$!04!56!#'(!
........................................... (2) (Total for Question 11 is 4 marks)
x ° 8.3 cm
Diagram NOT accurately drawn
- [4 marks]
Questions compiled by: @Maths4Everyone Contains questions which have been reproduced with the kind permission of Pearson Education Limited UK
11 P45863A01124 (^) Turn over
10 The highest common factor (HCF) of 140 and x is 20 The lowest common multiple (LCM) of 140 and x is 420 Find the value of x.
x = ........................................................ (Total for Question 10 is 2 marks)
[2 marks]
Express 504 as a product of powers of its prime factors.
6. S = 2^4 × 3 × 72
T = 2 × 53 × 73
Find the Highest Common Factor (HCF) of S and T.
- [2 marks]
Leaveblank
12 H34885A01224
11. (a) Find the Highest Common Factor of 64 and 80
(b) Find the Lowest Common Multiple of 64 and 80
12. (a) Expand and simplify ( p + 7)( p í 4)
(b) Simplify 4 x^3 y^5 × 3 x^2 y
(c) Simplify (27 q^6 ) 23
(2) Q
(Total 6 marks)
Q
(Total 4 marks)
- [4 marks]
11 P44389A01124 (^) Turn over
(b) Find an estimate for the percentage of the 80 films that lasted more than 125 minutes.
(Total for Question 10 is 5 marks) 11 x is an integer. The Lowest Common Multiple (LCM) of x and 12 is 120 The Highest Common Factor (HCF) of x and 12 is 4 Work out the value of x.
x = ...................................................... (Total for Question 11 is 2 marks)
- [2 marks]
10 P44619A01020
(Total for Question 12 is 3 marks)
13 Given that A 23 u 3 and B 22 u 32 find the Lowest Common Multiple (LCM) of A and B.
......................................... (Total for Question 13 is 2 marks)
- [2 marks]
! = 2 !!×! 3 !!×! 7!
! = 2 !!×! 3 !!×! 5!
(a) Find the highest common factor (HCF) of A and B
(b) Find the lowest common multiple (LCM) of A and B
- [4 marks]
Leaveblank
N17226A 14
14. (a) Find the Highest Common Factor of 75 and 105.
(b) Find the Lowest Common Multiple of 75 and 105.
15. Make v the subject of the formula m ( v – u ) = I
v = .................... Q (Total 3 marks)
Q
(Total 4 marks)
- [4 marks]
267! 300 = 2 !!×! 3 !!×! 5 !!×! 11
246! 960 = 2 !!×! 3 !!×! 5 !×! 7!
(a) Find the highest common factor (HCF) of 267 300 and 246 960 Give your answer as a product of prime factors.
(b) Find the lowest common multiple (LCM) of 267 300 and 246 960 Give your answer as a product of prime factors.
Solve 5 x^2 – 6 x – 2 = 0 Give your solutions correct to 3 significant figures. Show your working clearly.
- [4 marks]
71+O1! ()+.V OUE! L+M! [$.3!,#1!N$8#1%,!U-//-.![+*,-2!-K!=;!+.3!A<
)HIJ
! L(M! [$.3!,#1!7-41%,!U-//-.!a'),$&)1!-K!=;!+.3!A<
HIJ
OWE! L+M! "#1!1W'+,$-.!-K!+!)$.1! % !$%!! \ ; " ^ X
!! [$.3!,#1!82+3$1.,!-K! % 9
QOU
H;&/,<)!)-,:N0J
- [4 marks]
