QUESTION 1
Number problems – bills.
Percentage of amounts.
1100
June 2010
156.20
191.08
9.55
200.63
188.63
9.554
QUESTION 2
June 2011
Metric Units.
km
litres
𝑚
2
grams
QUESTION 3
85g
Problem Solving – Scales, Proportion
125-85 = 40g
June 2009
Parts of a circle.
Perpendicular Lines.
QUESTION 4
Radius
Tangent
Chord
June 2009
QUESTION 4
Parts of a circle.
Perpendicular Lines.
Draw a line through C that is:
1)Parallel to AB
2)Perpendicular to AB
June 2009
QUESTION 5
Approximately
𝟒𝟎𝒄𝒎𝟐
Estimating Area.
Symmetries.
June 2009
QUESTION 5
Estimating Area.
Symmetries.
June 2011
QUESTION 6
Accurate Nets.
November 2008
QUESTION 6
3cm
6cm
3cm
2cm
3cm
6cm
6cm
2cm
3cm
3cm
3cm
6cm
QUESTION 8
Negative Numbers in Real life
P2 June 2008 Q8
-9(°C)
Up 2 (°C)
1(°C)
Up 5 (°C)
P2 June 2009 Q7
Moscow
34
(allow -34)
18 (allow -18)
QUESTION 8
Percentages of amount (with calculator)
Calculate:
1)27% of 560kg
2) 74% of 28m
3) 9% of 345
Answers
1) 151.2kg
2) 20.72m
3) 31.05
QUESTION 8
Problem solving - Number
To find the next number, add the two bricks below it.
Fill in the missing numbers.
78
37
67
41
31
12
156
75
81
35
18
17
QUESTION 9
Number Sequences
QUESTION 9
QUESTION 9
Forming Expressions
QUESTION 9
QUESTION 9
Solving Equations
QUESTION 9
Problem solving - Sequences
QUESTION 10
Averages
b) Find the median and the range of the following numbers
21, 22, 24, 21, 32, 27, 28, 27, 26
Range = 32 – 21 = 11
B1
QUESTION 11
Scale Drawing
The diagram show two points X and Y on a map. Use the scale of the map
to find the actual distance, XY, in metres.
[3]
QUESTION 11 Bearings
QUESTION 12
Problem Solving – Proportion.
Quality of Written Communication (QWC) type
questions.
There will be a garden party at Bodnant Garden in July. Unfortunately, there
has been a flood which has damaged one part of the gardens. It is essential
that this area is repaired before the garden party as this is where the people
will be sitting to enjoy their cups of tea.
For this area to look its best, 1800 pansies and 1800 tulips must be planted. 1
gardener can plant 90 pansies in one day or a 1/3 as many tulips.
The garden will need time to settle, and must be ready within 10 days.
How many gardeners must they employ to ensure that the garden is ready
within the time limit given?
You will need to show your full working out and will need to explain your work.
For the pansies to be planted
1800 ÷90 = 20 days.
This means that it would take 20
days for 1 person to plant all of
the pansies.
Therefore, with 2 gardeners it
will take half the time which is
10 days.
For the tulips to be planted
We must consider how many could be planted in a day.
In 1 day, 90 ÷3 = 30 tulips could be planted.
1800 ÷ 30 = 60 days.
This means that it would take 60 days for 1 person to plant all of the
pansies.
60 ÷ 6 = 10 days.
It would take 6 gardeners 10 days to plant all of the tulips.
Total number of gardeners needed is 2+6=10 to ensure that the pansies and tulips are all planted within 10
days.
Constructing an angle with only a Compass.
QUESTION 13
80
Constructing a 30 degree angle (or 150 degree if we take the other angle on a straight line)
http://www.mathsisfun.com/geometry/construct-30degree.html
Constructing a 45 degree angle (or 135 degree if we take the other angle on a straight line)
http://www.mathsisfun.com/geometry/construct-45degree.html
Constructing a 60 degree angle (or 120 degree if we take the other angle on a straight line)
http://www.mathsisfun.com/geometry/construct-60degree.html
Bisecting a Line.
QUESTION 13
129
Draw a straight line in your books.
To bisect this line means that we must split it exactly in half using only compasses.
To do this you must place the pin at one edge of the line and open the compass out beyond half
way.
Draw an arc.
Repeat this step from the other side.
Both arcs should cross over.
From the crossover points, draw a straight line.
http://www.mathsisfun.com/geometry/construct-linebisect.html
Real Life Money Questions.
QUESTION 14
64
Exchange rates
Luke goes on a skiing holiday to Switzerland. He buys £500 worth of Swiss Francs which gives
him 700 Swiss Francs.
Can you work out the exchange rate?
If he has 300 Swiss Francs left after returning home, how many pounds would he expect to have
back?
To work out the exchange rate we must do
700 ÷ 500 = 1.40
This means that for every £1 you receive 1.40 Swiss Franc.
300 Swiss Francs are 300 ÷ 1.40 = £214.29 (rounded to 2 d.p. as it’s money)
Time Zones.
QUESTION 14
64
Time Zones
Mr Davies is delighted that the school have been to San Francisco. As a result, he would like to
contact the hotel they stayed at in San Francisco to thank the manager for the welcome that YJB
received. He is able to call on a Thursday.
He knows that the time difference between Llandudno and San Francisco is 8 hours (San
Francisco is 8 hours behind Llandudno).
What time and day should he call from Llandudno if the manager works from 8:00am to
5:00pm?
8:00am in San Francisco is 8+8 = 4pm in Llandudno on the Thursday.
5:00pm in San Francisco is 1am in Llandudno on the Friday.
Mr Davies could call between 4:00pm om Thursday and 1:00am on Friday.
QUESTION 15
Problem Solving - Number Patterns and Nth
Term of a sequence.
112
This is the conversion table that can be used to change ounces to grams.
Can you fill in the blanks?
Ounces
Grams
5
125
6
150
7
175
8
9
225
Congruency.
QUESTION 16
Congruent means the same shape and same size.
Which of these shapes are congruent? Write 2 sentences to
describe the sets of congruent shapes.
D
X
A
G
E
C
B
Y
Z
F
O
U
P
N
Q
W
V
Question 17 - Experimental Probabilities
Question 18 - Pythagoras’ Theorem
Question 18 - Pythagoras’ Theorem
Question 19 - Regions
Question 20 - Trigonometry
Question 20 - Trigonometry
Question 21 - Similar Shapes
Question 22 - Reverse Percentages
Question 22 - Standard Form