mathematics key stage ? 200? test b levels 3-5 page marks 5 7 9 11 13 15 total borderline check 17...
TRANSCRIPT
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MATHEMATICS
KEY STAGE ? 200?
TEST BLEVELS
3-5
PAGE MARKS
5
7
9
11
13
15
TOTAL
BORDERLINE CHECK
17
CALCULATOR ALLOWED
First Name
Last Name
School
Mark
Scheme
Woodfield Middle School
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Draw a line from each card to the correct part of the number line.
1 mark
1 mark
1 mark
0
100
200
300
400
500
600
700
One has been done for you.
184 + 473
840 ÷30
18 x 14
906 - 340
= 28
= 566
= 252
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Write in the missing numbers.
71 mark
1 mark
1 mark
47 x = 329
- 83 = 201284
283 + = 511228
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Tony and Neil buy 3 boxes of hats between them.
Tony pays £16.25
How much must Neil pay?
2 marks
Show your method. You
may get a mark.
A box of four party hats costs £11.40
£2.85How much does each hat cost?1 mark
Total price = 3 x £11.40 = £34.20
£17.95
Neil pays £34.20 - £16.25 =
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Lisa thinks of a number.
She says,
4
“Add 5 to my number and then multiply the result by 9. The answer is 81."
What is Lisa’s number?1 mark
271 mark
Jude thinks of a number.
She says, “Double my number and then add 18. The answer is 72."
What is Jude’s number?
81 ÷ 9 = 9 9 – 5 = 4
72 - 18 = 54 54 ÷ 2 = 27
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34.03 x = 231.404
Write in the missing number.
6.81 mark
20.75 + 29.28 = 50.03
Write in the missing number.
1 mark
- 48.03 = 79.91
Write in the missing number.
1 mark
127.94
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136 people go to a local football match.
They pay £1.65 each.
£224.40
How much ticket money is collected?
1 mark
Programmes cost 16p each.
Selling programmes raises £14.24
How many programmes were sold?
2 marks
Show your method. You
may get a mark.
£14.24 ÷ £0.16 = 89
89
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The table shows the cost of train tickets to 3 cities.
1 mark
Hull York Leeds
£11.30 £16.60 £9.10
£21.55 £25.50 £17.25
£7.75 £11.35 £7.85
£12.95 £15.85 £14.00return
single
return
singleAdult
Child
What is the total cost for a return journey to York for two adults and one child?
£66.85
1 mark
How much more does it cost for two adults to make a single journey to Hull than Leeds?
£4.40
£25.50 + £25.50 + £15.85
£22.60 - £18.20
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Calculate of 408
2551 mark
58
1891 mark
Calculate of 44137
3121 mark
Calculate of 70249
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Use a calculator to work out 82.3 x (3.1 + 7.45)
1 mark
868.265
Use a calculator to work out 101 – (2.3 + 17.8)
1 mark
Use a calculator to work out 53.2 + (9.3 x 3.3)
1 mark
80.9
83.89
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Circle the closest number to 0.6
1 mark
0.49 0.52 0.69 0.7
Circle the closest number to 0.01
1 mark0.9 0.09 0.1 0.009
0.616
What must be added to 0.384 to make 1?
1 mark
0.11 0.08 0.09 0.10
0.89 0.08 0.09 0.001
1 – 0.384
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Write in what the missing numbers might be.
These must add up to 110.
1 mark
240 + = 350 - 60 50
Choose a simple number here, like 2
Write in what the missing numbers might be.
1 mark
240 x = 350 +2 130
Place a simple number in the first space, like 60
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39 x = 429
Write in the missing numbers.
111 mark
1 mark
1 mark
÷ 43 = 2018643
313 - = 89224
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Here is part of a number line.
2 marks
Write in the four missing numbers.
66 1
4
5 14 5 3
4 6 12 7
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What could Nebuchadnezzar’s fraction be?
2 marks
Nebuchadnezzar makes a fraction using two number cards.
He says,
‘My fraction is equivalent to ¼
One of the number cards is 8’
Give both possible answers.
or
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Here are five digit cards.
1 mark
1 2 3 4 5
Use all five digit cards once to make this sum correct.
4
5 2
1 3 What other possibilities
exist?
+
6 9
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There are 6 pieces of fudge in a box.
96
How many pieces of fudge are there altogether?
1 mark
A shop has 16 boxes on its shelves.
How many boxes must Mandy buy so that she has at least 50 pieces of fudge?
Mandy is going to eat 50 pieces of fudge for charity.
1 mark
950 ÷ 6 = 8 remainder 2
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Michelle makes a sequence of numbers.
Her rule is
“double the last number and subtract 10”
1701 mark
Write in the next two numbers in her sequence.
30 50 90 330
………………………………………………………………………………………………………………………………………………………
Michelle says that 10 020 will not be a number in the sequence.
Explain why she is correct.
1 mark
The tens digit will always stay as an odd digit and since in the number 10 020 it is even this
number cannot be in the sequence.
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These are the prices at a local take-away.
Total cost = £2.95 + ( 2 x £1.10 ) + £0.99
= £6.14
2 marks
Fish……………………£2.95
Chips…………………..£1.10
Sausage………………..£0.99
Veronica has £5
She wants to buy one fish, two chips and a sausage.
How much more money does she need?
Show your method. You
may get a mark.
£1.14Money still needed = £6.14 - £5
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The temperature inside a car is 18ºC.
The temperature outside is -3ºC.
21
What is the difference between these temperatures?
degrees
21 mark
The outside temperature rises by 5ºC.
What is the new outside temperature?
ºC
1 mark
+3 +18
-3°C 0°C 18°C
+5
-3°C 0°C 2°C
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There are 28 coloured cubes in a box.
A quarter of the cubes are blue, fifteen are red and the rest are green.
2 marks
How many green cubes are there in the box?
Number of blue cubes = 7
Show your method. You
may get a mark. 6
1 mark
One red cube is removed from the box.
What fraction of the cubes in the box are red now?
1427
Number of green cubes = 28 – (7 + 15) =
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Use a calculator to work out 67.45 ÷ (4.2 – 2.3)
35.51 mark
2.88
Use a calculator to work out 0.2 x (0.6 + 13.8)
1 mark
75
Use a calculator to work out 30 x (20.75 ÷ 8.3)
1 mark
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The distance from A to B is 4 times as far as from B to C
A B C
100cmNot drawn to scale
The distance from A to B is 100 centimetres.
125
The distance from B to C ( which is a quarter that from A to B) = 25cm
The distance from A to C = 100 + 25 cm = 125cm
2 marks
Calculate the distance from A to B.
Show your method. You
may get a mark.cm
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Write what the three missing digits could be in this calculation.
x = 2 1 61 mark
3 6 6
Write what the two missing digits could be in this calculation.
7 x = 6 0 01 mark
5 8
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s, t and h each stand for a whole number.
2 marks
They add together to make 2400
s + t + h = 2400
s is twice as big as t
h is three times as big as t
Calculate the numbers s, t and h.
s = t = h =
Show your method. You
may get a mark.
s = 2 x t and h = 3 x tso s + t + h = (t + t) + t + (t + t + t) = 6 x t = 2400 and t = 400
s = 2 x t = 2 x 400 and h = 3 x t = 3 x 400
800 400 1200
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Here is a diagram for sorting numbers.
2 marks
Place one number in each white section of the diagram
less than 800
more than 800
multiples of 25
not multiples of 25
9080 765 625 1075
765
1075
9080
625
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Write in the missing numbers.
54 27 13.51 mark
216 108
In this sequence each number is half the previous number.
0.075 0.15
Write in the missing numbers.
1 mark
In this sequence each number is double the previous number.
0.3 0.6
6.75
1.2
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Circle the closest number to 800
1 mark
850 901 890 751
Circle the closest number to 1107
1 mark1011 1106 108 1102
15 000
Round 14 501 to the nearest thousand.
1 mark
50 101 90 49
4 1 999 5
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9 x 2 x = 162
Write in the missing numbers.
91 mark
1 mark
1 mark
+ 43 - 39 = 209205
313 + = 89 x 12755
Write in the missing numbers.
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Betty says,
“The number 801 is not a prime number.”
Is she correct?
Circle Yes or No.
Explain how you know.
1 mark
Yes / No
…………………………………………………………………………………………………………………………………………………………………………
Prime numbers have exactly two factors. Since 1, 9 and 801 are factors of 801 it therefore has at least three factors and so cannot be a prime number.
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1 mark
Use the same five digit cards to make this correct.
+ = 4
1 mark
8 5 7 1 6
Here are five digit cards.
Use all five digit cards to make this correct.
2 x = 7 8 1 5 6
1 8 5 6 7
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Cinema tickets cost £2.85 each.
Sally buys 5 tickets.
£14.251 mark
How much does Sally pay?
£4.94
fizzy drink popcorn
£1.24 £1.85
Saif buys a fizzy drink and two boxes of popcorn.
1 mark
How much does he spend in total?
£1.24 + 2 x £1.85
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Sandra rounds each of them to the nearest £10 and then adds them up.
Here are the ends of three supermarket bills.
£1701 mark
Total £63.51 Total £73.89 Total £37.71
What is the total amount that Sandra works out?
£5.11
Exact total amount = £63.51 + £73.89 + £37.71 = £175.11
Difference = £175.11 - £170 =2 marks
What is the difference between her total and the exact amount?
Show your method. You
may get a mark.
£60 £70 £40
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Total number of crates = 5 + 7 + 9 = 21
In a supermarket storeroom there are
4032 2 marks
5 crates of peas
7 crates of soup
9 crates of beans
There are 192 tins in every crate.
How many tins are there altogether?
Show your method. You
may get a mark.
Total number of tins = 21 x 192 = 4032
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x
Use the digits 3, 5 and 6 once to make the multiplication which has the greatest product.
5 3 61 mark
1 mark
5 6 3x
Use the same three digits to make the lowest product.
35 x 6 = 210 36 x 5 = 180 53 x 6 = 318 56 x 3 = 168 63 x 5 = 315 65 x 3 = 195
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÷ 9.65 = 19.2
Write in the missing numbers.
185.281 mark
1 mark
1 mark
200 – (45.83 + 53.93 ) = 100.24
200.63 - = 182.917.73
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A = B =
Here are five number cards.
1 mark
A A A B BA and B stand for two different whole numbers
below ten.
The sum of all the numbers on all five cards is 39
What could be the values of A and B?
9 6
What other answers are possible?
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60 + < 86
Write the largest whole numbers in the spaces
251 mark
1 mark
1 mark
which keep these statements true.
167 - > 10165
16 x < 30418
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A sequence starts at 13 and follows the rule
‘double the last number and then subtract 4’
13 22 40 76 148…The sequence continues.
The number 9220 is in the sequence.
Calculate the number which comes immediately before 9220 in the sequence
Show your method. You
may get a mark.
9220 + 4 = 9224
4612 2 marks
9224 ÷ 2 = 4612
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Two thermometers show the temperature inside and outside a greenhouse on a day in January.
Inside 11ºC
Outside 2 ºC
How many degrees warmer was it inside the greenhouse than outside?
9ºC1 mark
Later the temperatures were
Inside -1ºC
Outside -8 ºC
What is the difference between these two temperatures?
1 mark7ºC +7
-8°C -1°C
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320 000 people visited a theme park in one year.
144 000 2 marks
20% of the people visited in July.
35% of the people visited in August.
How many people visited the park in the rest of the year?
Show your method. You
may get a mark.
Rest of year = 45%
July + August = 20% + 35% = 55%
45% of 320 000 = 144 000
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End of test