1100 156.20

191.08

9.5549.55

200.63

188.63

QUESTION 1Number problems – bills.Percentage of amounts.

June 2010

QUESTION 2Metric Units. June 2011

km

litres

grams

𝑚2

QUESTION 3Problem Solving – Scales, Proportion June 2009

85g 125-85 = 40g

QUESTION 4Parts of a circle.Perpendicular Lines.

Radius

Tangent

Chord

June 2009

QUESTION 4Parts of a circle.Perpendicular Lines.

June 2009

Draw a line through C that is:1)Parallel to AB2)Perpendicular to AB

QUESTION 5Estimating Area.Symmetries.

June 2009

Approximately 𝟒𝟎𝒄𝒎𝟐

QUESTION 5Estimating Area.Symmetries.

June 2011

QUESTION 6Accurate Nets. November 2008

3cm

6cm

3cm

6cm

3cm3cm 2cm

6cm6cm

2cm

3cm

3cmQUESTION 6

Negative Numbers in Real lifeP2 June 2008 Q8QUESTION 8

-9(°C)

Up 2 (°C)

Up 5 (°C)

1(°C)

P2 June 2009 Q7

Moscow

34 (allow -34)

18 (allow -18)

Percentages of amount (with calculator)

Calculate:1)27% of 560kg

2) 74% of 28m

3) 9% of 345

Answers1) 151.2kg2) 20.72m3) 31.05

QUESTION 8

Problem solving - Number

To find the next number, add the two bricks below it. Fill in the missing numbers.

QUESTION 8

156

41

78 67

12

3137

81 75

35

18 17

Number SequencesQUESTION 9

QUESTION 9

Forming ExpressionsQUESTION 9

QUESTION 9

Solving EquationsQUESTION 9

Problem solving - Sequences QUESTION 9

Averages

b) Find the median and the range of the following numbers

21, 22, 24, 21, 32, 27, 28, 27, 26

QUESTION 10

Range = 32 – 21 = 11 B1

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

BearingsQUESTION 11

QUESTION 12Problem 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 planted1800 ÷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 plantedWe 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.

QUESTION 13Constructing an angle with only a Compass.

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

QUESTION 13Bisecting a Line.

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

QUESTION 14Real Life Money Questions.

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 do700 ÷ 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)

QUESTION 14Time Zones.

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

QUESTION 16Congruency.

Congruent means the same shape and same size.

Which of these shapes are congruent? Write 2 sentences to describe the sets of congruent shapes.

A

B C

D

E

F

G

O

P

Q

N

X

YZ

U

VW

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