Paper 1F June 2025 (R) Foundation tier, Question 5 7 marks
Simplify 4e ร 7f
Simplify d ร d ร d ร d ร d
Simplify 3a + 2k + a โ 7k
Solve x + 6 = 15
Solve 2r โ 9 = 14
Reveal mark scheme
Edexcel IGCSE Maths
Topic questions Pure mathematics Algebraic notation & vocabulary
46 questions · 287 marks · about 5.5 hours
Simplify 4e ร 7f
Simplify d ร d ร d ร d ร d
Simplify 3a + 2k + a โ 7k
Solve x + 6 = 15
Solve 2r โ 9 = 14
x5 ร x7 = xm
Find the value of m
y8 รท y3 = yn
Find the value of n
Simplify fully (5a4r2)3
Expand x(x 3)
Simplify a6 a10
Simplify c30 c12
Factorise y2 10y
21
Hence, solve y2 10y
21
0
Write down the value of 50
Find the value of k
Simplify fully 2d4e5
3
Simplify g9 g2
Expand 5k2(k3 + 4)
Factorise x2 2x
63
Hence, solve x2 2x
63 = 0
Solve the inequality 7 2y
3y
12
Simplify (2p)0 where p 0
y9yโ3 = yn
Find the value of n
Simplify fully (5a4c2)3
Simplify g9 g2
Expand 5k2(k3 + 4)
Factorise x2 2x
63
Hence, solve x2 2x
63 = 0
Solve the inequality 7 2y
3y
12
Simplify c ร c ร c
Simplify 12d ร 3e
Solve 2g 3
6
Expand x(x โ 4)
P 4y2
w
Work out the value of P when y = โ3 and w = 2
Show clear algebraic working.
Simplify (e + 12)0 where e > 0
Factorise fully 20x5y + 12x3y4
Show clear algebraic working.
Simplify h15 h3
Simplify fully 2g3k5
4
work out the value of n
Simplify (2c4d7)3
Find the value of 5y0 where y 0
Factorise fully 16a2b3 + 20a3b
Factorise x2 + 9x โ 22
Hence solve x2 + 9x โ 22 = 0
Simplify (2c4d7)3
Find the value of 5y0 where y 0
Factorise fully 16a2b3 + 20a3b
Factorise x2 + 9x โ 22
Hence solve x2 + 9x โ 22 = 0
Simplify m10 รท m3
kn k4 = k12
Write down the value of n
Simplify (3x6y8)2
Also involves The discriminant
Given that
2n = 2x2 16x ร 8
and
x 0
find an expression for x in terms of n State any restrictions on n
Simplify w12 w3
Simplify 5m4p22m3p
Also involves Straight line graphs ยท Factors, multiples and primes
Write down the value of (m + 2)0 where m is a positive integer.
Simplify (3a2b4)3
Factorise fully 14x2y4 + 21x3y2
The diagram shows a straight line drawn on a grid.
Write down an equation of the line.
Write down the value of (m + 2)0 where m is a positive integer.
Simplify (3a2b4)3
Factorise fully 14x2y4 + 21x3y2
The diagram shows a straight line drawn on a grid.
Write down an equation of the line.
Simplify 8 (4t)0
x6 รท xโ5 = xp
Find the value of p
Simplify fully (2k2m4)3
Simplify aaรa
aรa
Simplify 8bร3c
Expand 3(x + 4)
Q = 5v2 โ w
Work out the value of Q when v = and w =
Show clear algebraic working.
Simplify a0where a 0
Factorise fully 10c3d2 + 15cd4
Simplify a7 a4
Simplify w15 รท w3
Simplify (8x5y3)2
Make t the subject of c = t3 โ 8v
Simplify x4 x5
Simplify (4y2)3
Factorise n2 โ 7n + 12
Simplify a7 a4
Simplify w15 รท w3
Simplify (8x5y3)2
Make t the subject of c = t3 โ 8v
Simplify e8 e2
Expand and simplify (x โ 3)(x + 1)
Simplify e8 e2
Expand and simplify (x โ 3)(x + 1)
Simplify (2x3y5)4
Factorise x2 + 5x โ 36
Hence, solve x2 + 5x โ 36 = 0
Simplify (2x3y5)4
Factorise x2 + 5x โ 36
Hence, solve x2 + 5x โ 36 = 0
Simplify p + p + p + p + p + p
Simplify 5y2 + 6y2 โ 3y2
Simplify ee
e
e
e
Simplify 5c4d
Solve x โ 7 = 19
182 + 152 โ 53 = 4n
Work out the value of n.
Factorise 9t โ 6
Expand and simplify 4 x (2 x + 5) โ 3 x (2 x โ 3)
work out the value of n.
Solve the inequality 7t โ 8 < 2t + 7
On the number line below, represent the solution set of the inequality solved in part (c)(i)
โ5 โ4 โ3 โ2 โ1 0 1 2 3 4 5
Also involves Simplifying and manipulating expressions
Simplify (3k2)4
Simplify (21m4n) (3nโ5)
Simplify w + w + w + w โ w
Simplify 4a
2
Simplify f f
f
f
f
Simplify 4c + 4h + 5c โ 6h
Factorise 10d + 15
Make t the subject of e = 7t + g
Simplify h7h2
G = c2 โ 4c
Find the value of G when c = โ5
Show clear algebraic working.
Simplify h7h2
G = c2 โ 4c
Find the value of G when c = โ5
Show clear algebraic working.
Simplify g6 g4
Simplify (3cd4)2
Solve the simultaneous equations
4 x + 3 y = 17 x + 2 y = 5
Show clear algebraic working.
Simplify g6 g4
Simplify k10 รท k3
Simplify (3cd4)2
Solve the inequality 4x + 7 > 2
Make a the subject of d=g+ 2ac
Factorise fully 9e fโ 12f
Expand and simplify (x+ 2)(xโ 5)
Expand and simplify (mโ 8)(m+ 5)
Factorise fully 5y+ 20y2
Simplify (p2+ 3)0
Show clear algebraic working.
Simplify k + k + k + k
Write f as a single power of 9
Write f as a single power of 3
Write 517 52 as a single power of 5
Write 800 as a product of its prime factors. Show your working clearly.
Expand e (3 e โ 5)
Factorise 35 + 5f
Simplify (4pq2)3
Simplify 6e 2f
Simplify 5m + 7km + k
Solve 5 y + 3 = 14
Also involves Indices
P = 2 g + 3 h
Work out the value of P when g = 7 and h
Simplify e9 รท e5
=Simplify (เฏy2)8
Expand and simplify (x + 9)(x โ 2)
Factorise fully 16c4p2 + 20cp3
Also involves Indices
Simplify e9 รท e5
Simplify (เฏy2)8
Expand and simplify (x + 9)(x โ 2)
Factorise fully 16c4p2 + 20cp3
Also involves Simplifying and manipulating expressions
Simplify t9 รท t3
Simplify w5 w7
Simplify (5xy2)3
Simplify y5 ร y9
Simplify (2m3)4
Solve 5(x + 3) = 3x Show clear algebraic working.
Factorise x2 + 2x
Hence, solve x2 + 2x
Simplify y5y9
Simplify (2m3)4
Solve 5(x + 3) = 3 x โ 4 Show clear algebraic working.
Factorise x2 + 2x โ 24
Hence, solve x2 + 2x โ 24 = 0
Simplify g7 g3
Simplify (k3)5
Make e the subject of the formula h = 3 e + f
Memes
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