Form 1 Summer Exam 2013
Form 1 Mathematics
May 2013
1 hours 30 minutes
This is a NON-CALCULATOR Paper.
Show all workings
Name:
…………………………………
Class:
…………………………………
Teacher:
…………………………………
[Total
/150]
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1.
Form 1 Summer Exam 2013
Measure the following angles.
A =_______[2]
A
B =_______[2]
C =_______[2]
B
C
2.
Calculate:
a)
-2 + 9
b)
-4 – 12
c)
7 x -2
d)
-8 x -3
e)
42 ÷ (-6)
a)_______[1]
b)_______[1]
c)_______[1]
d)_______[1]
e)_______[1]
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3.
Form 1 Summer Exam 2013
Write down the word from this list which best fits the given description:
Acute, Alternate, Complementary, Corresponding, Equilateral, Interior, Isosceles, Obtuse,
Origin, Parallel, Quadrilateral, Reflex, Scalene, Supplementary, Vertically Opposite
4.
a)
An angle between 90o and 180o
b)
A triangle with only two sides of equal length
c)
A pair of angles making an “F” shape around parallel lines
c)________________[1]
d)
A triangle with three sides of different length
e)
An angle greater than 180 o
a)
Write 150 as a product of its prime factors
a)________________[1]
b)________________[1]
d)________________[1]
e)________________[1]
150=________________[2]
b)
Write 60 as a product of its prime factors
60=________________[2]
c)
What is the Highest Common Factor of 150 and 60?
HCF(150,60)=________________[1]
d)
What is the Lowest Common Multiple of 12 and 18?
LCM(12,18)=________________[1]
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5.
Form 1 Summer Exam 2013
Plot the following five points in order on the grid below.
(-1,-3)
(-1,6)
(3,4)
(-1,2)
(3,-3)
6
4
2
-4
-2
2
4
6
-2
-4
-6
A letter is formed. What is the letter?
6.
_______[3]
Calculate the following:
a)
10 + 3 x 3
a)________________[2]
b)
28 ÷ (13 – 2 x 3) + 2
b)________________[3]
c)
3 x 7 + 24 ÷ 6 – 5 x 5
c)________________[3]
7.
a)
b)
c)
Write down the first 4 prime numbers
Write down the first 4 square numbers
Write down all the factors of 18
a)________________[2]
b)________________[2]
c)________________[2]
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8.
Form 1 Summer Exam 2013
Fill in the blanks in this table.
Give the fractions in their simplest form and decimals to 2 decimal places
Fraction
Decimal
1
4
0.25
Percentage %
0.38
1
3
33
1
3
85
_______[10]
9.
a)
Calculate the following, giving your answer in its simplest form:
3 5
1
5 8
a)________[3]
b)
3
4
2
3
1
6
b)________[3]
c)
Round the following numbers to the nearest 10
17
c)___________[1]
d)
1268
d) __________[1]
Round the following to the number of decimal places in brackets
e)
2.13 (1)
e)__________[1]
f)
7.0061 (2)
f) __________[1]
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10.
Form 1 Summer Exam 2013
Calculate the value of the angles marked in these diagrams (diagrams not to scale)
28o
a
a)________[2]
b
b)________[2]
c
c)________[2]
75o
d
d)________[2]
120o
e
e)________[2]
130o
f
f)________[2]
60o
110o
65o
g
g)________[2]
105o
h
h)________[2]
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11.
Form 1 Summer Exam 2013
Draw triangle XYZ in which XZ = 12.5 cm and ZY = 7 cm.
XY has already been drawn for you.
Measure and state the sizes of angles X and Y.
X
Y
X=_______o
Y=_______o
________[4]
12.
Calculate the area and perimeter of this shape.
(Show ALL your workings in a STRUCTURED fashion.)
4 cm
4cm
1cm
1cm
15cm
12cm
2 cm
Area =
________ cm2[4]
Perimeter
_________cm [2]
Setting out answer
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13.
Form 1 Summer Exam 2013
John has 7 pencils in his pencil case. Their lengths are:
15cm, 8cm, 12cm, 7cm, 13cm, 7cm, 1cm
a)
b)
c)
What is the modal pencil length?
What is the median pencil length?
Calculate the mean pencil length.
a)_______cm[1]
b)______cm[2]
c)______cm[2]
14.
Simplify each of the following:
a)
2z -8 + 5z
a)_______[1]
b)
4x + 3y + x – 14y + 2x
b)_______[2]
c)
d)
4(2a - 1) + 4a + 2
2(2p + 2q) + 4(2p – q)
d)_______[3]
15.
a)
b)
c)_______[2]
When I double a number and add 14 I get 18. Let the number be x. Form an equation
for x. Do not solve the equation.
__________________[1]
When I subtract 2 from a number I get the same answer as tripling the number and
adding 12. Let the number be y and form an equation for y. Do not solve the
equation.
_______________________[2]
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Form 1 Summer Exam 2013
16.
Find
a)
√49
b)
23 X 52
c)
Estimate √80 (to one decimal place)
a)_______[1]
b)_______[2]
c)_______[2]
17.
If T = 5, work out the value of these expressions:
a)
2T - 4
2
b)
T
c)
T -4
a)_______[1]
b)_______[1]
c)_______[1]
18.
If T = -7, work out the value of these expressions:
a)
19.
2T – 4
2
b)
T
c)
T–4
a)_______[2]
b)_______[1]
c)_______[1]
Given that F = 3a – 2b, find F when:
a)
a = 4 and b = 6
a)_______[2]
b)
a = 3.2 and b = -0.3
b)_______[2]
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Form 1 Summer Exam 2013
20.
Solve the following:
a)
x–3=9
x =_______[2]
b)
24 = 4y + 16
y =_______[2]
c)
7p – 18 = 10
p =_______[2]
d)
4f = 32
f =_______[2]
21.
Add brackets to the left hand side of this equation to make a target number of 24.
8 x 6 ÷ 4 - 2 = 24
22.
Find the area of this parallelogram. Show you workings clearly.
4.7m
2.1m
[2]
1.1m
Area = ________ [3]
Units = ________[1]
1[1][1]
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23.
Form 1 Summer Exam 2013
Calculate the following, giving your answer in the given units:
a)
Convert 0.4kg to g
b)
Convert 160cm to m
c)
Calculate in cm
_______g [1]
_______m [1]
3.1m –150mm=
_______cm [2]
24.
Look at the frequency diagram above that shows the number of birthdays of school pupils
in each of the first six months of the year.
a) Which is the modal month?
b) What was the total number of pupils surveyed?
[1]
___________
[2]
___________
c) 5 pupils have birthdays in July and 15 in August, complete the frequency diagram.
[2]
[Please turn over for final question.]
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Form 1 Summer Exam 2013
25.
5cm
3cm
6cm
26.
a)
Calculate the volume of this cuboid.
b)
Calculate its surface area.
_______cm3[3]
______ cm2[4]
Financial Capability:
What do the letters PIN stand for (as in security PIN number) ?
Answer____________________________________________________________[1]
Name one way of keeping Your PIN number safe when using an ATM.
Answer____________________________________________________________[1]
The End
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