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1999 MATHS PAPER B
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1999 Mathematics Paper BInput your name and press send.
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1999 Mathematics Paper B Q1a
Next Page
100– ??? = 38
What is the missing number?
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1999 Mathematics Paper B Q1b
Next Page Answers
? x ? = 65
What could the missing numbers be?
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1999 Mathematics Paper B Q1b
Next Page
? x ? = 65
What could the missing numbers be?
(b) Any two numbers which multiply to make 65, eg 13 × 5Accept fractions and decimals, eg 6.5 × 10 OR 130 × ½.Accept 1 × 65 OR 65 × 1.KISS answer = ?
Keep It Simple Stupid!
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1999 Mathematics Paper B Q1a
Next Page
160 ÷ ? = 40
What is the missing number?
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1999 Mathematics Paper B Q2
Next Page Answer key
Write down two numbers which add up to 150
6 3
7 3
8 3
9 3
6 4
7 4
8 4
9 4
6 6
7 6
8 6
9 6
6 5
7 5
8 5
9 5
6 7
7 7
8 7
9 7
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1999 Mathematics Paper B Q2
Next Page
Write down two numbers which add up to 150
6 3
7 3
8 3
9 3
6 4
7 4
8 4
9 4
6 6
7 6
8 6
9 6
6 5
7 5
8 5
9 5
6 7
7 7
8 7
9 7
63 AND 87 OR 64 AND 861OR 65 AND 85 OR 66 AND 84OR 67 AND 83 OR 73 AND 77OR 74 AND 76
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1999 Mathematics Paper B Q3a
Next Page
These are the times letters are collected from a post box.
M o n d a y t o F r i d a y S a t u r d a y S u n d a y
8 a m
2 p m
6 : 3 0 p m
1 1 : 3 0 a mn oc o l l e c t i o n
What is the latest time letters are collected on Wednesday?
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1999 Mathematics Paper B Q3b
Next Page
These are the times letters are collected from a post box.
M o n d a y t o F r i d a y S a t u r d a y S u n d a y
8 a m
2 p m
6 : 3 0 p m
1 1 : 3 0 a mn oc o l l e c t i o n
Carla posts a letter at 9 am on Monday.How many hours will it be before it is collected?
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1999 Mathematics Paper B Q3c
Next Page
These are the times letters are collected from a post box.
M o n d a y t o F r i d a y S a t u r d a y S u n d a y
8 a m
2 p m
6 : 3 0 p m
1 1 : 3 0 a mn oc o l l e c t i o n
Gareth posts a letter on Saturday at 3pm.On what day will it be collected from the post box?
C. MondayD. TuesdayE. WednesdayF. ThursdayG. FridayH. Saturday
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1999 Mathematics Paper B Q3c
Next Page
These are the times letters are collected from a post box.
M o n d a y t o F r i d a y S a t u r d a y S u n d a y
8 a m
2 p m
6 : 3 0 p m
1 1 : 3 0 a mn oc o l l e c t i o n
Gareth posts a letter on Saturday at 3pm.At what time on Monday will it be collected from the post box?
XL File
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1999 Mathematics Paper B Q4a
Next Page
Millie and Ryan play a number game.What's my number?
Is it under 20? YesIs it a multiple of 3? YesIs it a multiple of 5? Yes
What is the number?
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1999 Mathematics Paper B Q4b
Next Page Answers
Millie and Ryan play a number game.What's my number?
They play the game again.
Is it under 20? NoIs it under 25 ? YesIs it odd YesIs it a prime number? Yes
What is the number?
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1999 Mathematics Paper B Q4a
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Millie and Ryan play a number game.What's my number?
Is it under 20? YesIs it a multiple of 3? YesIs it a multiple of 5? Yes
What is the number?1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
17 18 19
Least Common Multiple
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1999 Mathematics Paper B Q4a
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Millie and Ryan play a number game.What's my number?
20 21 22 23
24
Is it under 20? NoIs it under 25 ? YesIs it odd YesIs it a prime number? Yes
What is the number?
Defining prime numbers
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1999 Mathematics Paper B Q5
Next Page
Write in the four missing digits.Only one digit is represented by each ? – what is the digit?
?? + ?? = 198
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1999 Mathematics Paper B Q6a
Next PageHere are five shapes on a square grid.
A
E
C
B
D
Which shape has two pairs of parallel sides?
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1999 Mathematics Paper B Q6b
Next PageHere are five shapes on a square grid.
A
E
C
B
D
Which shape is a pentagon?
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1999 Mathematics Paper B Q6c
Next Page AnswersHere are five shapes on a square grid.
A
E
C
B
D
Which shape has reflective symmetry?
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1999 Mathematics Paper B Q6c
Next Page Here are five shapes on a square grid.
A
E
C
B
D
Which shape has reflective symmetry?
Which shape has two pairs of parallel sides?
Which shape is a pentagon?
Pent- means 5 e.g. 5 fingers hold a pen – thanks Rosion
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1999 Mathematics Paper B Q7a
Next Page
Tom, Amy and Helen want to go on a boat trip.
There are three boats.
L a r k
5 0 m i n u t et r i p
T i c k e t s£ 2 . 7 5e a c h
H e r o n
7 0 m i n u t et r i p
T i c k e t s£ 3 . 5 0e a c h
K e s t r e l
9 0 m i n u t et r i p
T i c k e t s£ 4 . 2 0e a c h
How much does it cost altogether for three people to go on the Lark? Answer using the decimal e.g.
4.25{wrong answer}
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1999 Mathematics Paper B Q7b
Next Page
Tom, Amy and Helen want to go on a boat trip.
There are three boats.
L a r k
5 0 m i n u t et r i p
T i c k e t s£ 2 . 7 5e a c h
H e r o n
7 0 m i n u t et r i p
T i c k e t s£ 3 . 5 0e a c h
K e s t r e l
9 0 m i n u t et r i p
T i c k e t s£ 4 . 2 0e a c h
Tom and Amy go on the Heron.They leave at 2:15pm.
At what time do they return?{Answer like so: 8.45}
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1999 Mathematics Paper B Q7c
Next Page
Tom, Amy and Helen want to go on a boat trip.
There are three boats.
L a r k
5 0 m i n u t et r i p
T i c k e t s£ 2 . 7 5e a c h
H e r o n
7 0 m i n u t et r i p
T i c k e t s£ 3 . 5 0e a c h
K e s t r e l
9 0 m i n u t et r i p
T i c k e t s£ 4 . 2 0e a c h
Helen goes on the Kestrel and gets back at 4:15pm.At what time did the boat leave?
{Answer like so: 8.45}
XL File
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1999 Mathematics Paper B Q8a
Next Page
Here is the calendar for August 1998.
2
9
1 6
2 3
3 0
3
1 0
1 7
2 4
3 1
4
1 1
1 8
2 5
5
1 2
1 9
2 6
6
1 3
2 0
2 7
7
1 4
2 1
2 8
1
8
1 5
2 2
2 9
A u g u s t 1 9 9 8S u n M o n T u e s W e d T h u r F r i S a t
Simon's birthday is on August 20th.In 1998 he had a party on the Sunday after his birthday.What was the date of his party in August?
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1999 Mathematics Paper B Q8a
Next Page
Here is the calendar for August 1998.
2
9
1 6
2 3
3 0
3
1 0
1 7
2 4
3 1
4
1 1
1 8
2 5
5
1 2
1 9
2 6
6
1 3
2 0
2 7
7
1 4
2 1
2 8
1
8
1 5
2 2
2 9
A u g u s t 1 9 9 8S u n M o n T u e s W e d T h u r F r i S a t Tina's birthday is on
September 9th.On what day of the week
was her birthday in 1998?
C. MondayD. TuesdayE. WednesdayF. ThursdayG. FridayH. Saturday
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1999 Mathematics Paper B Q9
Next Page
Write the number that is nearest to 5000 which uses all the digits
4, 5, 6 and 7.
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1999 Mathematics Paper B Q10a
Next Page
This diagram shows the distances of different towns from Birmingham.
R h y lM a n s f i e l d
S t o k e D e r b y
B I R M I N G H A M
C o v e n t r y
H e r e f o r d
S w a n s e a
N e w p o r t
O x f o r d
3 0 m i l e s
7 0 m i l e s
5 0 m i l e s
Which towns are between 30 and 50 miles from Birmingham.
• Rhyl• Mansfield• Stoke• Derby• Coventry• Hereford
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1999 Mathematics Paper B Q10b
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Answer Key
This diagram shows the distances of different towns from Birmingham.
R h y lM a n s f i e l d
S t o k e D e r b y
B I R M I N G H A M
C o v e n t r y
H e r e f o r d
S w a n s e a
N e w p o r t
O x f o r d
3 0 m i l e s
7 0 m i l e s
5 0 m i l e s
Use the diagram to estimate the distance in miles from Birmingham to Mansfield.
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1999 Mathematics Paper B Q10b
Next Page
Answer Key
This diagram shows the distances of different towns from Birmingham.
R h y lM a n s f i e l d
S t o k e D e r b y
B I R M I N G H A M
C o v e n t r y
H e r e f o r d
S w a n s e a
N e w p o r t
O x f o r d
3 0 m i l e s
7 0 m i l e s
5 0 m i l e s
B Use the diagram to estimate the distance in miles from Birmingham to Mansfield.
A Which towns are between 30 and 50 miles from Birmingham.
(a) Derby OR Stoke(b) Answer in the range 60 to 65 inclusive.
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1999 Mathematics Paper B Q11
Next Page
What number when you cube it gives you 1331?
? X ? X ? = 1331
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1999 Mathematics Paper B Q12a
Next Page
Halid makes a sequence of 5 numbers.The first number is 2.The last number is 18.His rule is to add the same
amount each time.What are the missing numbers?
2 18
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1999 Mathematics Paper B Q12b
Next Page
Halid makes a sequence of 5 numbers.The first number is 2.The last number is 18.His rule is to add the same
amount each time.What are the missing numbers?
2 18
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1999 Mathematics Paper B Q12c
Next Page Answers
Halid makes a sequence of 5 numbers.The first number is 2.The last number is 18.His rule is to add the same
amount each time.What are the missing numbers?
2 18
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1999 Mathematics Paper B Q12
Next Page
Halid makes a sequence of 5 numbers.The first number is 2.The last number is 18.His rule is to add the same
amount each time.What are the missing numbers?
2 18
Try trial and error methods
Add 2 2…4..6..8..18 = too small
Add 3 2…5...8..11..18 = too small
Add 4 2.. 6..10..14..18 = spot on!
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1999 Mathematics Paper B Q13a
Next Page
Nicola has £50.She buys 3 flowerpots and a spade.
How much money does she have left?Answer with the decimal e.g. 4.44 {wrong answer}
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1999 Mathematics Paper B Q13b
Next Page Answers
Seeds are £1.45 for a packet.Steffan has £10 to spend on seeds.
What is the greatest number of packets he can buy?
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1999 Mathematics Paper B Q13a
Next Page
Nicola has £50.She buys 3 flowerpots and a spade.
How much money does she have left?Answer with the decimal e.g. 4.44 {wrong answer}
1 Flowerpot = 12.75
3 flowerpots = 12.75 x 3
12.75
12.75
+ 12.75
38.25
£38.25 + spade
= 38.25
+ 9.65
£47.80 £50 - £47.80 = £2.10
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1999 Mathematics Paper B Q13b
Next Page Seeds are £1.45 for a packet.
Steffan has £10 to spend on seeds.What is the greatest number of packets he can buy?
£10.00 ÷ £1.45 = 6.8965517241379310344827586206897Or 6 and a bit so greatest number = 6
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1999 Mathematics Paper B Q14a
Next Page
Here is a drawing of a model car.
0 1 2 3 4 5 6 7 8 9 1 0c m
Give your answer in centimetres, correct to one decimal place.
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1999 Mathematics Paper B Q14b
Next Page Answers
Here is a drawing of a model car.
0 1 2 3 4 5 6 7 8 9 1 0c m
The height of the model is 2.8 centimetres.The height of the real car is 50 times the height of the model.
What is the height of the real car?Give your answer in metres.
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1999 Mathematics Paper B Q14b
Next Page
Here is a drawing of a model car.
0 1 2 3 4 5 6 7 8 9 1 0c m
The height of the model is 2.8 centimetres.
The height of the real car is 50 times the height of the
model.What is the height of the
real car?Give your answer in
metres.
2.8cm x 50 = 140cm
140 cm = 1.4m
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1999 Mathematics Paper B Q15
Next Page
Answer Key
Samir spins a fair coin and records the results.
In the first four spins 'heads' comes up each time.
1 s ts p i n
2 n ds p i n
3 r ds p i n
4 t hs p i n
H e a d H e a d H e a d H e a d
Samir says,'A head is more likely than a tail'.
Is he correct?
Give a reason for your answer.
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1999 Mathematics Paper B Q15Next Page
Samir spins a fair coin and records the results.
In the first four spins 'heads' comes up each time.
1 s ts p i n
2 n ds p i n
3 r ds p i n
4 t hs p i n
H e a d H e a d H e a d H e a dSamir says,
'A head is more likely than a tail'.
Circling of ‘No’ AND an explanation which implies that every spin offers equally likely outcomes, eg ‘It’s still 50 – 50 no matter how many heads you get’;‘Heads and tails are equally likely because it’s a fair coin’;‘The probability is equal’;‘It’s a fair coin’.Do not award a mark for circling ‘No’ alone.Do not award a mark for the question if: ‘Yes’ is circled;OR neither ‘Yes’ nor ‘No’ is circled; unless the explanation unequivocally implies ‘No’.Do not accept vague or arbitrary explanations such as: ·
‘You can’t tell’;‘Time for tails but heads could still come’;‘It could be either’;‘There are 2 sides to the coin’.
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1999 Mathematics Paper B Q16
Next Page Answers
A shop sells sheets of sticky labels.On each sheet there are 36 rows and 18 columns of labels.
How many labels are there altogether on 45 sheets?
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1999 Mathematics Paper B Q
Next Page
A shop sells sheets of sticky labels.On each sheet there are 36 rows and 18 columns of labels.
How many labels are there altogether on 45 sheets?
1 sheet = 18 x 36
45 sheets = (18 x 36) x 45
45 x 18 x 36 = 29160
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1999 Mathematics Paper B Q17
Next Page Answers
What is the missing number?
950.4 ÷ = 49.5
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1999 Mathematics Paper B Q17
Next Page
What is the missing number?
950.4 ÷ = 49.5
6 ÷ ? = 2
? = 3
What did you do with 6 and 2 to get 3? – You divided them do this with the actual numbers:
950.4 ÷ 49.5 = 19.2
Check: 950.4 ÷ 19.2 = 49.5
Keep It Simple Stupid!
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1999 Mathematics Paper B Q18a
Next Page
Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is a
tin of Pea Soup?Give your answer as a fraction.
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1999 Mathematics Paper B Q18b
Next Page
Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The top of the fraction would be?
?
?
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1999 Mathematics Paper B Q18c
Next Page Answers
Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?
1
?
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1999 Mathematics Paper B Q18d
Next Page
Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is not a tin of Tomato Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The top of the fraction would be?
?
?
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1999 Mathematics Paper B Q18e
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Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is not a tin of tomato Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?
2
?
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1999 Mathematics Paper B Q18
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Harry has six tins of soup.The labels have fallen off.
Here are the labels and tins.
P e a S o u p
P e a S o u p
T o m a t oS o u p
T o m a t oS o u p
C h i c k e nS o u p
M u s h r o o mS o u p
Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?
1
3
Pea soup = 2 out of 6 or 2/6 in its simplest form =
Probability of something happening = Number of ways it can happen
Total number of outcomes
WWW
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1999 Mathematics Paper B Q19
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Answers
Calculate 7/8 of 5000
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1999 Mathematics Paper B Q19
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Calculate 7/8 of 5000Two approaches:
Find 1/8 of 5000 then multiply to get 7/8
5000 ÷ 8 = 625
625 x 7 = 4375
Second approach: use decimal fractions 7/8 = 0.875
0.875 x 5000 = 4375
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1999 Mathematics Paper B Q20
Next Page AnswersLindy has 4 triangles, all the same size.
1 3 c m 1 2 c m
5 c mShe uses them to make a star.
N o t t o s c a l e Calculate the perimeter of the star in cm.
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1999 Mathematics Paper B Q20
Next Page Final questionLindy has 4 triangles, all the same size.
1 3 c m 1 2 c m
5 c mShe uses them to make a star.
N o t t o s c a l e
Calculate the perimeter of the star in cm.
Perimeter = distance around
4 x 13 = 52 cm
Plus (12 – 5 cm) x 4 = 7 x 4 = 28 cm
52 cm + 28 cm = 80 cm
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1999 Mathematics Paper B Q21
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Mr Jones has two sizes of square paving stones.
l a r g es m a l l
He uses them to make a path.
1 . 5 5 m
3 . 7 2 m
The path measures 1.55 metres by 3.72 metres.
Calculate the width of a small paving
stone in cm.
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1999 Mathematics Paper B Q21
End of paperMr Jones has two sizes of square paving stones.
l a r g es m a l l
He uses them to make a path.
1 . 5 5 m
3 . 7 2 m
The path measures 1.55 metres by 3.72 metres.
Calculate the width of a small paving
stone in cm.
6 small squares = 3.72
3.72m = 372 cm so 372 ÷ 6 = 62cm
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1999 Mathematics Paper B Q
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