12 markseasy
Solve the inequality 7x + 3 ≤ 4x - 15
Maths B
November 2020 · Paper 1 (4MB1/01) (Edexcel IGCSE Maths): Exam Questions
Exam code:4MB129 questions · 100 marks · ≈ 2 hours
22 markseasy
Show that
4 2
5
18
÷
=
7
21
32 markseasy
The nth term of a sequence is given by 3n2 + 11
Calculate the difference between the 6th term and the 9th term of the sequence.
42 marksmedium
1 mark
(i)
B = 223257
Find the Lowest Common Multiple (LCM) of A and B.
1 mark
(iii)
B = 223257
Find the Highest Common Factor (HCF) of A and B.
52 markseasy
The price of each sandwich in a cafe was increased by 4%
Chris bought a sandwich after the price increase for $3.64
Calculate the increase in the price of the sandwich Chris bought.
$ .......................................................
62 marksmedium
Given that a : b = 3 : 5 and that a : c = 7 : 4
find a : b : c
Give your answer in its simplest form.
a : b : c = .......................................................
72 markseasy
Diagram NOT
accurately drawn
6.8 cm
7.2 cm
8.5 cm
9 cm
7.6 cm
9.5 cm
The diagram shows two triangles.
Show that the triangles are similar.
82 marksmedium
Given that y = x4 - 8
2
x
find d
y
d
x
d
y
x = .......................................................
d
93 markseasy
The table gives information about the number of brothers that each student in a class has.
Calculate the mean number of brothers.
103 markseasy
Without using a calculator and showing your working clearly, find the value of the
integer a so that
−
−
=
180
27
20
147
a(
5
3
)
a = .......................................................
113 marksmedium
Solve x
x
2
=
4
5
Show clear algebraic working.
x = .......................................................
123 markseasy
The diagram shows a half cylinder.
5 cm
x cm
The half cylinder has a length of x cm and a semicircular cross section of diameter 5 cm.
The volume of the half cylinder is 35 cm³
Calculate the value of x.
x = .......................................................
133 markseasy
1 mark
(a)
Simplify m12m³
2
3
2 marks
(b)
Simplify fully (125p9w3)
143 marksmedium
Given that
2
5
p =
and n =
4
2
6
5
n +
m +
find an expression for p in terms of m.
Give your answer in its simplest form.
p = .......................................................
154 markshard
Akash drove from his home to his friend’s house.
The distance Akash drove was 190 km, to the nearest 5 km.
His average speed for the journey was 62 km/h, to the nearest km/h.
Calculate the upper bound for the time taken by Akash to drive from his home to his
friend’s house.
Give your answer in hours and minutes, to the nearest minute.
....................................................... hours ....................................................... minutes
164 marksmedium
C
Diagram NOT
accurately drawn
A
1.4 m
B
D
5 m
In the diagram, AB represents a vertical wall and CD represents a vertical building.
The height of the wall is 1.4 m.
The bottom of the wall, B, and the bottom of the building, D, are on horizontal ground,
such that BD = 5 m.
The angle of elevation of C from A is 75°
Calculate the height, in m to one decimal place, of the building.
....................................................... m
173 marksmedium
The histogram below shows information about the age of each person on a plane.
There were 7 people on the plane with an age of 5 years or under.
Calculate the number of people on the plane with an age of over 20 years.
183 marksmedium
A varies directly as the square of c
A = 950 when c = 5
Calculate the value of A when c = 7
A = .......................................................
194 marksmedium
Solve the simultaneous equations 5x - 3y = 21
3x - 4y = 22.5
Show clear algebraic working.
x = .......................................................
y = .......................................................
204 marksmedium
2 marks
(a)
4
3
7
2
−
−
B =
A =
2
1
1
3
−
Find
A - B
2 marks
(b)
4
3
7
2
−
−
B =
A =
2
1
1
3
−
Find
AB
214 markshard
C
Diagram NOT
D
accurately drawn
96°
O
B
78°
E
A
F
ABCD is a quadrilateral such that the points A, B, C and D lie on a circle, centre O.
EAF is the tangent to the circle at A.
∠DAF = 78° ∠BCD = 96°
Calculate the size, in degrees, of ∠BDA.
Give reasons for each stage of your working.
∠BDA = .......................................................°
224 marksmedium
Given that
×
4
2
n
(
)
4
125
find an expression for y in terms of n.
y = .......................................................
234 marksmedium
The function g is such that
g(x) = 9 - 10x - 5x2 for all values of x
Find the range of g.
Show clear algebraic working.
246 marksmedium
1 mark
(a)
A
B
D
C
ABCD is a quadrilateral.
Leaving in all of your construction lines, construct the locus of all points inside the
quadrilateral that are
4 cm from B,
2 marks
(b)
A
B
D
C
ABCD is a quadrilateral.
Leaving in all of your construction lines, construct the locus of all points inside the
quadrilateral that are
equidistant from B and C,
2 marks
(c)
A
B
D
C
ABCD is a quadrilateral.
Leaving in all of your construction lines, construct the locus of all points inside the
quadrilateral that are
equidistant from the lines DA and DC.
The region R consists of all the points inside the quadrilateral that are more than 4 cm
from B, closer to B than to C and closer to DC than to AD,
1 mark
(d)
A
B
D
C
ABCD is a quadrilateral.
Leaving in all of your construction lines, construct the locus of all points inside the
quadrilateral that are
show, by shading, the region R.
Label the region R.
254 marksmedium
2 marks
(a)
Make a the subject of the formula B = ac + de
2 marks
(b)
Factorise fully 14x2y3 - 21x5y2
265 marksmedium
Diagram NOT
A
D
accurately drawn
C
B
The diagram shows a circle of radius 2x cm.
The lines AB and DC are parallel and AB = DC = 2x cm.
The area of the region shown shaded in the diagram is kx2 cm²
Find the exact value of k.
k = .......................................................
275 marksmedium
3 marks
(a)
Aarya has a biased 5-sided spinner.
When the spinner is spun once, it can land on blue or yellow or green or pink or orange.
Aarya spins the spinner many times and records the colour that the spinner lands on each time.
She uses these results to calculate the probability of the spinner landing on each colour.
The table below gives the probabilities that Aarya calculated for blue, yellow and green.
Aarya’s calculations showed that the probability of the spinner landing on orange is
3 times the probability of the spinner landing on pink.
Complete the table for pink and for orange.
When Aarya spun the spinner, it landed on green 90 times.
2 marks
(b)
Aarya has a biased 5-sided spinner.
When the spinner is spun once, it can land on blue or yellow or green or pink or orange.
Aarya spins the spinner many times and records the colour that the spinner lands on each time.
She uses these results to calculate the probability of the spinner landing on each colour.
The table below gives the probabilities that Aarya calculated for blue, yellow and green.
Aarya’s calculations showed that the probability of the spinner landing on orange is
3 times the probability of the spinner landing on pink.
Work out an estimate for the total number of times Aarya spun the spinner.
287 markshard
B
C
Diagram NOT
A
D
accurately drawn
H
E
G
F
In the diagram, ABCDEFGH is a regular octagon.
(
) cm²
The area of triangle GEF is 4 2
Calculate the perimeter, in cm to one decimal place, of triangle BEG.
....................................................... cm
295 marksmedium
2 marks
(a)
Use the factor theorem to show that (x - 5) is a factor of x3 - 6x2 - 7x + 60
3 marks
(b)
Hence factorise completely x3 - 6x2 - 7x + 60