Surname Forename
KING GEORGE V SCHOOL Mathematics Teacher
Unit Test
Mathematics
Core
Unit 1b
Time: 50 minutes Date
You must have: Total Marks
Ruler graduated in centimetres and millimetres,
protractor, compasses, pen, HB pencil, eraser, and
calculator. Tracing paper may be used.
Instructions
Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name and Mathematics teacher.
Answer all 13 questions.
Without sufficient working, correct answers may be awarded no marks.
Answer the questions in the spaces provided
– there may be more space than you need.
Calculators may be used. All GDCs must be in Exam Mode, or similar.
You must NOT write anything on the formulae page.
Anything you write on the formulae page will gain NO credit.
Information
The total mark for this paper is 50.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
Read each question carefully before you start to answer it.
Check your answers if you have time at the end.
1
FORMULAE SHEET – HIGHER TIER
2
1
(a) Simplify
(i) c+c+c+c
.................................
(ii) p×p×p×p
.................................
(iii) 3g + 5g
.................................
(iv) 2r × 5p
.................................
(4)
(b) Expand 5(2y – 3)
.................................
(1)
(Total for Question 1 is 5 Marks)
2
(a) What type of angle is this?
………………………
(1)
(b)
D ia g ra m N O T
a c c u ra te ly d ra w n
230°
120°
This diagram is wrong. Explain why:
...............................................................................................................................................
...............................................................................................................................................
(1)
(Total for Question 2 is 2 Marks)
3
3
A school has a photocopier and a printing machine.
The cost of using the photocopier is given by the rule
Cost of
using the cost of
= number of copies ×
photocopie one copy
r
The cost of one copy is 4 pence.
Geoff makes 96 copies.
(a) Work out the cost of using the photocopier to make 96 copies.
£ ……………………….
(2)
The cost of using the printing machine is given by the following rule
Cost of
using the number of cost of
= + copy fee
printing copies one copy
machine
The cost of one copy is 3 pence.
The copy fee is 40 pence.
Charlotte makes 96 copies using the printing machine.
(b) Work out the difference in their costs between Geoff and Charlotte.
£ ……………………….
(2)
(Total for Question 3 is 4 Marks)
4
4
B C
(a) Measure the length of BC.
…………………………… cm
(1)
(b) (i) Measure the size of angle B in triangle ABC.
……………………………
(ii) What type of angle is angle B?
……………………………
(2)
(Total for Question 4 is 3 Marks)
a) What is the order of rotational symmetry for the rectangle
………………………
(1)
b) Draw the lines of symmetry on the rectangle
(2)
5
(Total for Question 5 is 3 Marks)
6
–2 < x 1
x is an integer.
Write down all the possible values of x.
.................................................
(Total for Question 6 is 2 Marks)
7
(a) Work out the value of 3p + 4q when p = 5 and q = –2
………………………
(2)
(b) Solve 4x – 3 = 11
x = ………………………
(3)
(Total for Question 7 is 5 Marks)
6
8
a° D ia g ra m N O T
a c c u ra te ly d ra w n
65° 138°
Work out the value of a.
a = .............................
(Total for Question 8 is 3 Marks)
9
D ia g ra m N O T
A
a c c u ra te ly d ra w n
100° D
2x°
47° x°
B C
ABCD is a quadrilateral.
Work out the size of the largest angle in the quadrilateral.
……………..°
(Total for Question 9 is 4 Marks)
7
1
0
= { numbers on a clock face }
A = { Prime number }
B = { Multiples of 3 }
C = { Factors of 12 }
(a) Say whether the following is true
I. 9∈P
…………….………………………
(1)
II. T ∩ F=∅
…………….………………………
(1)
(b) List the elements of
I. T
…………….………………………
(1)
II. P ∪F
…………….………………………
(2)
(Total for Question 10 is 5 Marks)
8
1
1
2 D ia g ra m N O T
a c c u ra te ly d ra w n
F lo w e rb e d x
5 x
The diagram represents a garden in the shape of a rectangle.
All measurements are given in metres.
The garden has a flowerbed in one corner.
The flowerbed is a square of side x.
(a) Write down an expression, in terms of x, for the shortest side of the garden.
…..................................
(1)
(b) Find an expression, in terms of x, for the perimeter of the garden.
Give your answer in its simplest form.
…..................................
(2)
The perimeter of the garden is 20 metres.
(c) Find the value of x.
…..................................
(2)
(Total for Question 11 is 5 Marks)
9
1
2 A
D ia g ra m N O T
a c c u ra te ly d ra w n
x 62°
B C D
Triangle ABC is isosceles, with AC = BC.
Angle ACD = 62.
BCD is a straight line.
(a) Work out the size of angle x.
x = ………………
(2)
x D ia g ra m N O T
a c c u ra te ly d ra w n
The diagram shows part of a regular octagon.
(b) Work out the size of angle x.
x = ………………
(3)
(Total for Question 12 is 5 Marks)
10
1
3 (a) Solve7p + 2 = 5p + 8
p = ............................
(2)
(b) Solve7r + 2 = 5(r – 4)
r = ...........................
(2)
(Total for Question 13 is 4 Marks)
TOTAL FOR PAPER IS 50 MARKS
11
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12
Core Unit Test 1B Review Sheet
Do not fill in anything on this sheet until your teacher has marked your test paper.
Strongl Disagre Strongly
Algebra y Agree Agree e Disagree
Simplify algebraic expression
Expand single brackets
Use formulae to solve problems
Evaluate expressions using substitution
Solve two-step equations
Solve equations with x on both sides
Solve equations with brackets
Strongl Disagre Strongly
Shape and Space y Agree Agree e Disagree
Classify angles
Measure angles accurately using a protractor
Measure lines accurately using a ruler
Identify lines of symmetry in a 2D shape
Determine the order of rotational symmetry of a 2D shape
Find missing angles in triangles
Find missing angles in quadrilaterals
Find angles in polygons
Strongl Disagre Strongly
Data y Agree Agree e Disagree
Identify integers in a given interval (inequalities)
Understand and use set notation
13
Does your score reflect your ability?
How much revision did you do for this test? Was this sufficient?
What could you have done to have improved your score?
What will you do to better prepare for your next test?
Is there anything else you want to add?
14
