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Transcript
2002 MATHEMATICS PAPER A
INPUT YOUR NAME AND
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2002 Mathematics Paper A Q1
Which two other number cards would
join the circle to make 150?
75 + 75
150
90 + 70
A
85 + 65
B
450 – 300
C
220 – 80
D
Next Page
2002 Mathematics Paper A Q2a
5 × 70 =
Next Page
2002 Mathematics Paper A Q2b
4 × ? = 200
Next Page
2002 Mathematics Paper A Q3a
Here is a square with a design on it.
The square is reflected in the mirror line.
Draw the missing triangle and dots on the reflected square.
Actual SAT you may use a mirror or tracing paper.
A
B
Where would the
triangle go?
Next Page
mirror line
C
D
2002 Mathematics Paper A Q3b
Here is a square with a design on it.
The square is reflected in the mirror line.
Draw the missing triangle and dots on the reflected square.
Actual SAT you may use a mirror or tracing paper.
Where would this
dot go?
A
B
Next Page
mirror line
C
D
2002 Mathematics Paper A Q3b
Here is a square with a design on it.
The square is reflected in the mirror line.
Draw the missing triangle and dots on the reflected square.
Actual SAT you may use a mirror or tracing paper.
A
B
Next Page
Where would this
dot go?
mirror line
C
D
2002 Mathematics Paper A Q4a
Asif, Vicky and Nita go to town by bus.
This is what they pay.
BUS TICKET
Asif
75p
BUS TICKET
Vicky
£1.35
BUS TICKET
Nita
Next Page
£1.55
How much more does Nita pay than Asif?
2002 Mathematics Paper A Q4b
Asif, Vicky and Nita go to town by bus.
This is what they pay.
BUS TICKET
Asif
75p
BUS TICKET
Vicky
£1.35
BUS TICKET
Nita
Next Page: Answer key
£1.55
Vicky then takes another bus from town to visit her auntie.
She pays 90p on this bus.
How much has Vicky paid altogether for her two bus tickets?
{Answer in pounds using the decimal}.
2002 Mathematics Paper A Q4
(a)
80p OR £0.80
1m
Accept £0.80p OR 0.80 OR 80 OR £.80 OR
£.80p OR £0 80 OR .80 OR 0 80
Do not accept £80p OR £80 OR £0.8 OR 0.80p
(b)
£2.25 OR 225p
1m
Accept £2.25p OR 2.25 OR 225 OR £2 25
Do not accept £225p OR £225
Next Page
2002 Mathematics Paper A Q5a
Match each shape on the left to one with equal area on the right.
The first one has been done for you.
A
B
This shape matches with?
C
Next Page
D
E
F
2002 Mathematics Paper A Q5b
Match each shape on the left to one with equal area on the right.
The first one has been done for you.
A
B
This shape matches with?
Next Page
C
D
E
2002 Mathematics Paper A Q5c
Match each shape on the left to one with equal area on the right.
The first one has been done for you.
A
B
C
This shape matches with?
D
Next Page
2002 Mathematics Paper A Q6a
A shop sells greetings cards.
Each card has a price code on it.
These are the codes.
code
AA
price
Next Page
75p
BB
£1.15
CC
£1.55
DD
£1.70
EE
£1.99
Tina buys two cards.
One card has code AA on it.
The other card has code DD on it.
How much does Tina pay?
{Answer in pounds using the decimal}.
2002 Mathematics Paper A Q6b
A shop sells greetings cards.
Each card has a price code on it.
These are the codes.
code
AA
price
Next Page
75p
BB
£1.15
CC
£1.55
DD
£1.70
EE
£1.99
Omar buys a card. He pays with a
£2 coin.
He gets 45p change.
What is the code on his card?
2002 Mathematics Paper A Q7
Which of these numbers are multiples of 8?
a.
b.
c.
d.
e.
18
32
56
68
72
Next Page
2002 Mathematics Paper A Q7
Which of these numbers are multiples of 8?
a.
b.
c.
d.
e.
18
32 = 8 x 4
56 = 8 x 7
68
72 = 8 x 9
Next Page
2002 Mathematics Paper A Q8
Write two cards that give a total of 5 e.g.
1 14
1 12
11/4 + 1 ½ = wrong answer
1 34
Next Page Answer Key
1
32
3
34
1
44
2002 Mathematics Paper A Q8
14
1
12
1
14
1
34
3
44
32
3
1
OR
14
1
12
1
14
1
34
3
44
32
3
1
Next Page
2002 Mathematics Paper A Q9
3 8
9
1
Use three of these numbers
to make an even number
that is greater than 400
Next Page Answer Key
2002 Mathematics Paper A Q9
3 8
9
1
Use three of these
numbers to make an
even number that is
greater than 400.
Next Page
918 or 938
2002 Mathematics Paper A Q10a
This graph shows the cost of phone calls in the daytime and in the evening.
60p
Click for the answer
50p
e
m
i
t
ay
d
40p
Cost
Answers
of call 30p
in the range 44-46 p would get the mark in the SAT.
20p
evening
Next Page
10p
0p
0
2
4
6
8
10
12
Length of call in minutes
How much does it cost to make a 9 minute call in
the daytime?
2002 Mathematics Paper A Q10a
This graph shows the cost of phone calls in the daytime and in the evening.
60p
Click for the answer
50p
e
m
i
t
ay
d
40p
Cost
of call 30p
30p – 10p = 20p
20p
evening
Next Page
10p
0p
0
2
4
6
8
10
12
Length of call in minutes
How much more does it cost to make a 6 minute
call in the daytime than in the evening? – Answer in
pence.
2002 Mathematics Paper A Q11a
Mr Singh buys paving slabs to go around his pond.
PAVING SLABS
£1.95 each
Square slabs
50cm by 50cm
£3.50 each
50cm
100cm
Pond
Rectangular slabs
100cm by 50cm
Next Page Answer Key
He buys 4 rectangular slabs and 4 square
slabs.
What is the total cost of the slabs he buys?
{Answer in pounds using the decimal}. [2 marks]
2002 Mathematics Paper A Q11a
Mr Singh buys paving slabs to go around his pond.
PAVING SLABS
£1.95 each
Square slabs
50cm by 50cm
£3.50 each
Rectangular slabs
50cm
100cm
Pond
He buys 4 rectangular
slabs and 4 square
slabs.
What is the total cost
of the slabs he buys?
{Answer in pounds using the
decimal}. [2 marks]
100cm by 50cm
Next Page
Award TWO marks for the correct answer of £21.80
Up to 2m
Accept £21.80p OR £21 80
If the answer is incorrect, award ONE mark for evidence of
appropriate working, eg
3.50 × 4 = 14.00
1.95 × 4 = 7.80
14.00 + 7.80 = wrong answer
Accept for ONE mark £2180p OR £2180 OR £21.8 as evidence of
appropriate working.
Calculation must be performed for the award of ONE mark.
2002 Mathematics Paper A
Q11b
Mr Singh buys paving slabs to go around his pond.
PAVING SLABS
£1.95 each
Square slabs
50cm by 50cm
£3.50 each
50cm
100cm
Pond
Rectangular slabs
100cm by 50cm
Next Page Answer Key
Mr Singh says,
'It would cost more to use square
slabs all the way round.‘
Explain why he is correct.
2002 Mathematics Paper A
Q11b
Mr Singh buys paving slabs to go around his pond.
Mr Singh says,
PAVING SLABS
£1.95 each
Square slabs
50cm by 50cm
£3.50 each
50cm
100cm
Pond
'It would cost
more to use square
slabs all the way
round.‘
Rectangular slabs
100cm by 50cm
Explain why he is
correct.
(b)
An explanation which recognises that each square slab costs more than half
a rectangular slab or equivalent, eg
·
‘Half of £3.50 is £1.75, which is less than £1.95’;
Next Page
·
‘Two square slabs cost more than one rectangular slab’;
·
‘Because 12 squares cost £23.40’;
·
‘Because it would cost £1.60 more’.
Do not accept vague or arbitrary explanations, eg
·
‘Because he would need more slabs’;
·
‘Because square slabs are cheaper than rectangular slabs’;
·
‘Because it costs more’;
·
‘He is right because the square slabs are £1.95 each and the rectangular slabs are
£3.50 each’.
2002 Mathematics Paper A Q12a
What is this missing digit?
4
4
+
3
8
=
8
5
1
Next Page
2002 Mathematics Paper A Q12b
What is this missing digit?
4
4
+
3
8
=
8
5
1
Next Page
2002 Mathematics Paper A Q13a
Here are a pencil sharpener, a key and a rubber.
Actual size
0
1
2
3
4
5
6
7
8
9 cm
Next Page
What is the length of all
three things together?
Give your answer in
millimetres.
2002 Mathematics Paper A Q13b
Here are a pencil sharpener, a key and a rubber.
Click for the answer
Actual size
0
1
2
3
4
5
6
7
8
9 cm
2.4 cm = 24 mm. 5.3cm = 53mm 53 – 24 = 29 mm
What is the length of the
key?
Give your answer in
millimetres.
Next Page
2002 Mathematics Paper A Q14
Click for the answer
Calculate 417 x 20
417 x 20 = 417 x 10 x 2
417 x 10 = 4170
4170 x 2 = 8340
Next Page
2002 Mathematics Paper A Q15a
This table shows the
weight of some fruits and
vegetables.
Complete the table.
grams
Next Page
Which number goes here?
kilograms
2
potatoes
3500
3.5
1
0
1.2
apples
grapes
ginger
250
0.03
3
kg
4
5
6
2002 Mathematics Paper A Q15b
This table shows the
weight of some fruits and
vegetables.
Complete the table.
grams
Next Page
Which number goes here?
kilograms
2
potatoes
3500
3.5
1
0
apples
1200
grapes
250
ginger
1.2
0.03
3
kg
4
5
6
2002 Mathematics Paper A Q15c
This table shows the
weight of some fruits and
vegetables.
Complete the table.
grams
Next Page
Which number goes here?
kilograms
2
potatoes
3500
3.5
1
0
apples
1200
grapes
250
ginger
1.2
0.250
0.03
3
kg
4
5
6
2002 Mathematics Paper A Q16
Calculate 15.05 – 14.84
Click for the answer
15.05
– 14.84
.
15.05
– 14.84
. 1
41
15.05
– 14.84
. 1
Line up theand
decimals
Underline
fill in the decimal underneath
5–4=1
0 – 8 = need to borrow
Next Page
41
15.05
– 14.84
00.21
2002 Mathematics Paper A Q17a
The shaded shape is a parallelogram.
y
What is the first coordinate of point A?
A
(20, 27)
(?, _)
(15, 17)
0
Next Page
(35, 17)
x
2002 Mathematics Paper A Q17b
The shaded shape is a parallelogram.
y
What is the second coordinate of point A?
A
(20, 27)
(40, _)
(15, 17)
0
Next Page
(35, 17)
x
2002 Mathematics Paper A Q18a
75p
6 green apples for 75p
9 0p
10 red apples for 90p
Jason bought some bags of green apples and
some bags of red apples.
He spent £4.20
How many bags of each type of apples did he
buy?
Green Apples?
Next Page
2002 Mathematics Paper A Q18b
75p
6 green apples for 75p
9 0p
10 red apples for 90p
Jason bought some bags of green apples and
some bags of red apples.
He spent £4.20
How many bags of each type of apples did he
buy?
Green Apples? = 2 Red apples = ?
Next Page: Answer Key
2002 Mathematics Paper A Q18b
75p
9 0p
Next Page
6 green apples for 75p
10 red apples for 90p
Jason bought some bags of green apples
(a)
Award TWO marks for correct answer
and some bags of red apples.
as shown:
2 bags of green apples
He spent £4.20
3 bags of red apples
How many bags of each type of apples
Both numbers must be correct for the award
did he buy?
of the marks.
Green Apples? = 2 Red apples = ?
If the answer is incorrect, award ONE
mark for evidence of appropriate working, eg
Listing of cost of apples:
75
90
150
180
225
270
Calculation must be performed for the award
of ONE mark.
2002 Mathematics Paper A Q18c
75p
6 green apples for 75p
9 0p
10 red apples for 90p
Nika and Hassan bought some bags of
apples.
Nika says,
‘I bought more apples than Hassan,
but I spent less money.’
Explain how this is possible.
Next Page: Answer Key
2002 Mathematics Paper A Q18c
75p
6 green apples for 75p
9 0p
10 red apples for 90p
Nika and Hassan bought some bags of
Next Page
apples.
Nika says,
‘I bought more apples than Hassan,
but I spent less money.’
Explain how this is possible.
(b)
An explanation that shows how it is possible to buy more apples but
spend less money, eg
·
‘Nika buys 2 bags of red apples, giving 20 apples for £1.80, and Hassan buys
3 bags of green apples, giving 18 apples for £2.25’.
Do not accept vague or arbitrary explanations, eg
·
‘She got bigger bags than he did’;
·
She bought a lot of small ones’.
Ignore slight errors in arithmetic that do not contradict the explanation.
2002 Mathematics Paper A Q19
Write in the two missing digits.
0
×
0
=
3
0
0
0
Next Page: Answer Key
2002 Mathematics Paper A Q19
Write in the two missing digits.
0
×
0
=
3
0
5 and 6 written in the boxes in either order as
shown:
0
Next Page
6 0 × 5 0 = 3 0 0 0
OR
5 0 × 6 0 = 3 0 0 0
0
2002 Mathematics Paper A Q20a
A sequence starts at 500 and 80 is subtracted each time.
500
420
The sequence continues in the same way.
Write the first two numbers in the sequence
which are less than zero.
The FIRST would be?
{Answer like so: -32 [wrong answer]}
340 ...
Next Page
2002 Mathematics Paper A Q20b
A sequence starts at 500 and 80 is subtracted each time.
500
420
The sequence continues in the same way.
Write the first two numbers in the sequence
which are less than zero.
The SECONDwould be?
{Answer like so: -32 [wrong answer]}
340 ...
Next Page
2002 Mathematics Paper A Q21a
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5'
Next Page
2002 Mathematics Paper A Q21b
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
Next Page
2002 Mathematics Paper A Q21a
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%)
Next Page
2002 Mathematics Paper A Q21c
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%)
Dan is more likely than Abeda to choose an odd number.
Next Page
2002 Mathematics Paper A Q21c
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%)
Dan is more likely than Abeda to choose an odd number.
True => Dan 4 in 7 chance (1,3,5,7 =57%) ,
Abeda 10 in 20 chance (50%)
Next Page
2002 Mathematics Paper A Q21d
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%)
Dan is more likely than Abeda to choose an odd number.
True => Dan 4 in 7 chance (1,3,5,7 =57%) ,
Abeda 10 in 20 chance (50%)
Abeda is less likely than Dan to choose a '10'
Next Page
2002 Mathematics Paper A Q21d
Dan has a bag of seven counters numbered 1 to 7
Abeda has a bag of twenty counters numbered 1 to 20
Each chooses a counter from their own bag without looking.
Dan is more likely than Abeda to choose a '5‘ =
True => Dan 1 in 7 chance, Abeda 1 in 20 chance
They are both equally likely to choose a number less than 3
False => Dan 2 in 7 chance (29%) , Abeda 2 in 20 chance (10%)
Dan is more likely than Abeda to choose an odd number.
True => Dan 4 in 7 chance (1,3,5,7 =57%) ,
Abeda 10 in 20 chance (50%)
Abeda is less likely than Dan to choose a '10‘
False => Dan can not choose a ten, Abeda can ☺.
Next Page
2002 Mathematics Paper A Q22
Calculate 924 ÷ 22
Next Page: Answer Key
2002 Mathematics Paper A Q22
Award TWO marks for the correct answer of 42
Up to 2m
If the answer is incorrect award ONE
mark for evidence of appropriate working
containing no more than one arithmetic error, eg
·
long division algorithm
·
·
methods
·
Calculation must be performed for the
award of ONE mark.
short division algorithm
Short division methods must be
supported by evidence of appropriate
carrying figures to indicate use of a
division algorithm.
repeated addition / subtraction
No mark is awarded for repeated
addition / subtraction the wrong number
of times.
factor / multiple methods, eg
wrong answer
22 924
880
44
– 44
0
Calculate
924 ÷ 22
wrong answer
22 924
924
– 440
484
– 440
44
– 44
0
20 × 22
20 × 22
2 × 22
wrong answer
22 × 10 = 220
× 4
22 × 40 = 880
+ 44
924
924 ÷ 22 = wrong answer
Next Page
Look at this diagram.
2002 Mathematics Paper A Q23a
Not to scale
x
35º
y
Next Page
Calculate the size of angle x.
Look at this diagram.
2002 Mathematics Paper A Q23a
Next Page
Not to scale
x
35º
Calculate the
size of angle y.
y
Look at this diagram.
2002 Mathematics Paper A Q23a
Next Page
Click for the answers
Not to scale
35º
x
y
Angle facts:
Angles in a triangle always
add up to?
180°
35° + 90° + X° = 180°
X° = 55 °
Calculate
the size
of angle
x.
Look at this diagram.
2002 Mathematics Paper A Q23a
Next Page
Not to scale
x
35º
Calculate the
size of angle y.
Click for the answers
y
Angle facts:
Half circles always add up
to?
180°
35° + Y° = 180°
X° = 145 °
2002 Mathematics Paper A Q
Which is larger,
2
5
or
1
3
?
Explain how you know.
Next Page: Answer Key
2002 Mathematics Paper A Q24
Which is larger,
1
3
1
3
2
5
2
5
2
5
or
1
3
?
Last Page
Explain how you know.
An appropriate explanation which recognises that:
No mark is awarded for just writing 2
Or
1 2
2
5
= which is less than
3 6
5
Do not accept vague or arbitrary explanations, eg because
Or because
1
3
comes first on a number line.
1 5
2 6
=
and =
3 15
5 15
2
5
is bigger than
1
3