12 markseasy
1 mark
(a)
Write 7432 to 2 significant figures.
1 mark
(b)
Write 0.0374 to 2 decimal places.
Maths B
June 2024 · Paper 1 (4MB1/01) (Edexcel IGCSE Maths): Exam Questions
Exam code:4MB127 questions · 100 marks · ≈ 2 hours
22 markseasy
Given that k = 7 find the value of 3
2
2
k
5
2
33 marksmedium
Diagram NOT
D
accurately drawn
C
6 cm
A
B
The diagram shows trapezium ABCD
AD = 12cm
90
CD = 8 7. cm
ABC
BAD
BC = 6cm
Calculate the area, in cm², of trapezium ABCD
............................................................. cm²
43 marksmedium
1 mark
(a)
4
1
A
B
5
4
2
Calculate A
B
13
2
Given that nA
B =
2
7
1
2 marks
(b)
4
1
A
B
5
4
2
find the value of n
n = .............................................................
53 marksmedium
A straight line passes through the points with coordinates (2, –14) and (–3, 6)
Find an equation of the line.
Give your answer in the form y
mx
c
64 marksmedium
2 marks
(a)
Solve the inequality 3
w
w
4
8
11
x ≤
2 marks
(b)
On the number line, show the inequality
4
2
x
0
1
2
3
4
5
−5
−4
−3
−2
−1

73 markseasy
2 marks
(a)
Simplify fully 3
a b
1
c
1 mark
(b)
Simplify fully 4
2
82 markseasy
y
x
The diagram shows the line y
x
2
3
Write down the three inequalities that define the region shaded in the diagram.
93 marksmedium
T
Diagram NOT
accurately drawn
A
B
20 m
A and B are two points on horizontal ground.
The distance from A to B is 20 m
BT is a vertical pole.
The angle of depression of A from T is 10°
Find the height, in metres to 3 significant figures, of the pole.
............................................................. m
103 marksmedium
A
Diagram NOT
accurately drawn
N
M
C
B
The diagram shows the isosceles triangle ABC where AC
AB
=
M is the midpoint of AC
N is the midpoint of AB
Prove that triangle MCB is congruent to triangle NBC
112 markseasy
A
5
1
Find A−1
123 markseasy
Make x the subject of x
3
y
133 marksmedium
A
F
D
O
B
C
E
The diagram shows the circle ABC with centre O and the circle DEF with centre O
The line ADB is a tangent to the circle DEF at the point D
AB = 16cm
Showing your working, calculate in cm², the shaded area of the diagram.
Give your answer in terms of
............................................................. cm²
144 marksmedium
2 marks
(a)
Find the Highest Common Factor (HCF) of 90, 132 and 432
Show your working clearly.
Lali thinks of two numbers.
The Highest Common Factor (HCF) of the two numbers is 28
The Lowest Common Multiple (LCM) of the two numbers is a multiple of 35
2 marks
(b)
Find the two smallest numbers that Lali could be thinking of.
............................... , ...............................
154 markseasy
2 marks
(a)
Factorise fully 6
24
2 marks
(b)
Factorise fully x
x
7
12
2
164 marksmedium
Without using a calculator and showing all your working, evaluate
1
17
2 4
6
8
5
Give your answer as a mixed number in its simplest form.
174 marksmedium
Jay has 8 red apples and 10 green apples.
The total weight of all 18 apples is 2394 g
Jay eats one of the green apples weighing 148 g
The mean weight of the 9 remaining green apples is 154 g
Calculate the mean weight of the 8 red apples.
............................................................. g
184 marksmedium
A regular polygon has n sides.
Each interior angle of the regular polygon is 2x°
Each exterior angle of the regular polygon is x
54
°
2
Find the value of n
n = .............................................................
193 marksmedium
y varies inversely as the cube root of x
y = 6 when x = 3 375
.
Find the value of y when x = 64
y = .............................................................
204 markshard
Without using a calculator, show that
can be written in the form a b
a
−
45
3
where a and b are integers.
Show your working clearly.
214 markshard
Car A travelled x km at an average speed of a km/h
Car B travelled y km at an average speed of b km/h
Given that
x = 110 to 2 significant figures
a = 90 to 1 significant figure
y = 35 to 2 significant figures
b = 60 to 1 significant figure
calculate the upper bound, in hours to 3 decimal places, for
(Time taken for car A to travel the x km) - (Time taken for car B to travel the y km)
Show your working clearly.
............................................................. hours
224 marksmedium
Express
as a single fraction in its simplest form.
x
x
x
x
3
2
4
12
7
10
2
Show clear algebraic working.
237 marksmedium
1 mark
(a)
The table below gives some information about the distance travelled to work, in km,
each day by 60 people.
Write down the modal class.
1 mark
(b)
The table below gives some information about the distance travelled to work, in km,
each day by 60 people.
Find the class that contains the median distance travelled to work.
4 marks
(c)
The table below gives some information about the distance travelled to work, in km,
each day by 60 people.
Calculate an estimate, in km, for the mean distance travelled to work.
............................................................. km
One of the 60 people is selected at random.
1 mark
(d)
The table below gives some information about the distance travelled to work, in km,
each day by 60 people.
Find the probability that the distance this person travelled to work is more than 10 km.
245 marksmedium
A and B are two mathematically similar containers.
Container A has a volume of 30 000 mm³ and container B has a volume of 6480 mm³
Given that
A
B
8432
surface area of container
surface area of container
mm
2
calculate the surface area, in mm², of container B
............................................................. mm²
256 markshard
Diagram NOT
A
accurately drawn
B
O
F
C
E
D
The diagram shows circle ABCDE with centre O
ABF and ECF are straight lines.
OE = 10cm
BF = 15cm
AB
x
)1 cm
CF
x
=
(
cm
The area of the sector OCDE 40
cm
2
Find the value, to one decimal place, of x
x = ...........................................................
266 marksmedium
1 mark
(a)
A
Q
P
Diagram NOT
O
accurately drawn
M
B
OAB is a triangle.
The point P lies on AB such that OPQ is a straight line.
The point M lies on OB such that OM
MB
= 2 3
:
3a
5b
BQ
6
3
OA
OB
Find, in terms of a and b, simplifying your answer where possible
→
AB
1 mark
(a)(ii)
A
Q
P
Diagram NOT
O
accurately drawn
M
B
OAB is a triangle.
The point P lies on AB such that OPQ is a straight line.
The point M lies on OB such that OM
MB
= 2 3
:
:
3a
5b
a
b
BQ
6
3
OA
OB
OQ
OQ
→
4 marks
(b)
A
Q
P
Diagram NOT
O
accurately drawn
M
B
OAB is a triangle.
The point P lies on AB such that OPQ is a straight line.
The point M lies on OB such that OM
MB
= 2 3
:
:
3a
5b
a
b
BQ
6
3
OA
OB
Using a vector method and your answers from part (a) find MP
Simplify your answer.
MP
275 marksmedium
The equation of a curve is y
a
bx
x
where a and b are constants.
9
1
2
The maximum point on this curve is (3, 4.4)
Find the value of a
a = ............................................................