Post on 24-Dec-2015
transcript
MATHEMATICS
KEY STAGE ? 200?
TEST ALEVELS
3-5
PAGE MARKS
5
7
9
11
13
15
TOTAL
BORDERLINE CHECK
17
CALCULATOR NOT ALLOWED
First Name
Last Name
School
Mark
Scheme
Woodfield Middle School
45 + = 130
Write in the missing numbers.
135 - = 70
- 55 = 30
85
65
85
1 mark
1 mark
1 mark
Which of these numbers give 70 when rounded to the nearest 10?
64 76 73 66 801 mark
60 80 70 70 80
Neil, Tony and Keith go to town by bus.
How much more does Keith pay than Neil?
80p
This is what they pay.
Neil Tony Keith
85p £1.45 £1.65
1 mark
How much has Tony paid altogether for his two bus tickets?
1 mark
Tony takes another bus from town to visit his auntie.
He pays 90p on this bus.
£2.35
Calculate 408 - 285
1 mark
1 mark
408 –285 123
3 1
Calculate 625 - 187
625 –187 438
5 111
1
Kim and Nathan have 18 badges each.
Nathan gives Kim 11 of them.
1 mark
How many cards do they each have now?
Kim Nathan
Claire has 23 badges. Michael has four times as many as Claire.
How many badges does Michael have?
1 mark
29 7
92
Calculate 2075 x 9
1 mark
1 mark
2075 x 918675 1 6 4
Calculate 1208 x 61208 x
6 7248 1
Here are four digit cards.
2 marks
5 1 9 4
Choose two cards each time to make the following two-digit numbers.
The first one is done for you.
an odd number
a multiple of 9
a square number
a factor of 60
5 1
4 9
1 5
4 5 or 5 4
Sam has a set of cards numbered from 1 to 10.
1 mark
He picks three different number cards.
? ? ?
Exactly two of the three numbers are even.
Exactly two of the three numbers are factors of 12.
All three numbers add up to 17
Write what the numbers could be.
3 6 8 What other answers are possible?
Gemma and Thomas have 20 cards each.
Thomas gives Gemma 12 of his cards.
How many cards do Gemma and Thomas each have now?
321 mark
Gemma Thomas 8
161 mark
Mandy has 24 cards.
She gives a third of them to Malcolm.
How many cards does Mandy have now?
Three-quarters of a number is 24.
32What is the number?
1 mark
361 mark
Two-thirds of a number is 24.
What is the number?
8
8
8
8
12 12
12
Here is a square.
1 mark
What fraction of the square is shaded?
58
Draw lines to join the circle to two more number cards which make 120.
120
2 marks
70 + 50
40 + 90
65 + 55
330 - 210
210 - 110
9 x 60 =
Write in the missing numbers.
5 x = 300
x 40 = 2000
540
60
50
1 mark
1 mark
1 mark
Circle all the multiples of 6 in this list of numbers.
30 34 26 54 451 mark
Circle all the factors of 48 in this list of numbers.
22 16 14 12 181 mark
5 x 6 = 30 9 x 6 = 54
48 ÷ 3 = 16 48 ÷ 4 = 12
Here is a repeating pattern of shapes.
111 mark
Each shape is numbered.
1 2 3 4 5 6 7 8
The pattern continues in the same way.
Write the numbers of the next two circles in the pattern.
and 14
Complete this sentence.
Shape number 60 will be a hexagon because…
………………………………………………………………………………………………………………………………………
1 mark
The numbers in the hexagons are always multiples of three. Since 60 is a multiple of three this will also be in a hexagon.
Rearrange these number cards to make an odd number that is greater than 800
1 mark
7 4 9
9 4 7
Rearrange these number cards to make an odd number that is between 650 and 750
1 mark
1 6 8
6 8 1
Write in the missing digits.
1 mark
1 mark
1 mark
+ =
+ =
+ =
3 3 6 1 9 7 1
6 6 2 7 9 0 5
3 5 2 7 6 0 5
5 8
2 9
8 4
Calculate 326 x 30
1 mark
1 mark
Calculate 309 x 20
326 x 3 978 1
so 326 x 30 = 9780
so 309 x 20 = 6180
Double 309 = 618
Tick ( ) two cards that give a total of 6
1 mark
334
114
314
424
124
312
Calculate 704 ÷ 22
1 mark
704 -(10 x 22) 220
484 -
6 1
(10 x 22) 220264 -
(10 x 22) 22044 -
(2 x 22) 440
so 704 ÷ 22 = 32
Calculate 340 ÷ 17
1 mark
340 -(10 x 17) 170
170 -
2 1
(10 x 17) 1700
so 340 ÷ 17 = 20
3 x = 120
Write in the missing numbers.
204 - = 78
+ 95 = 300
40
126
205
1 mark
1 mark
1 mark
Use each number card only once to make the answer to each calculation an even number.
1 mark
6 4 5
12 x
12 ÷
12 +
5 = 60
6 = 2
4 = 16
Here is a rectangle with 19 identical shaded squares inside it.
1 mark
19 40
What fraction of the rectangle is shaded?
What is his test score as a fraction?
Joe gets 16 questions out of 33 wrong in a spelling test?
1 mark
17 33
Here is a sorting diagram for numbers.
Write the numbers below in the correct spaces.
2 marks
odd not odd
not a square
number
a square
number 49
5063
36
49 50 63 361 mark
Write in the missing numbers in this multiplication grid.
2 marks
x 4
5 45 55
27
110
9 11
20
3 12 33
10 90 40
Sandra loves reading books.
She always reads four fiction
books for every two non-fiction
books.
Last month she read 12 fiction books.
How many books did she read altogether?
2 marks
Show your working. You
may get a mark.
Instead of 4 fiction books she reads 12 (3x4)
Instead of reading 2 non-fiction books she will read 6 (3x2)
Altogether she will therefore read 12 + 6 = 18 books
18 books
Audrey says,
1 mark
“I added three odd numbers and my answer was 94.”
Explain why Julie cannot be correct.
…………………………………………………………………………………………………………………………………………………………………………
When any three odd numbers are added together the answer must always be odd. Since 94 is an even number it can not possibly be correct!
Mr. Bird buys paving slabs for his pond.
£24.60 2 marks
Square slabs Rectangular slabs
£1.65 £3
50cm by 50cm 50cm by 100cm
Pond
He buys 6 rectangular and 4 square slabs.
What is the total cost of the slabs he buys?
Show your working. You
may get a mark.
6 rectangular slabs = 6 x £3 = £18
4 square slabs = 4 x £1.65 = £6.60
Total cost = £18 + £6.60 =
Would it be cheaper to only use square slabs for the border?
1 mark…………………………………….No, 16 square slabs would cost 16 x £1.65 = £26.40
A shop sells 3 types of hats.
1 mark£2.74
£3.98 £3.99 £6.72
What is the difference in price between the most expensive and least expensive hats?
Brian buys a baseball hat and two of the hats with a feather on.
1 mark
How much change does he get from £20?
Show your working. You
may get a mark.
6.72 + 3.98 3.98
£14.68 1 2 1
1
20.00-14.68
£ 5.32
1 1 19 9
£5.32
£6.72 - £3.98
Calculate 800 ÷ ( 25 x 8 )
41 mark
300
Calculate 500 - ( 40 x 5 )
1 mark
John thinks of a number.
Since he ends up with the number he started with, multiplying his number by 5 must have the same effect as adding 40 on to it. This only works if the number he starts with is 9.
9 x 5 = 45 and 45-40 =5 again! 2 marks
He multiplies the number by 5 and then subtracts 40 from the result.
His answer equals the number he started with.
What was the number John started with?
Show your working. You
may get a mark.
9
A sequence starts at 400 and 60 is subtracted each time.
-20
2 marks
400 340 280…
The sequence continues in the same way.
Write the first two numbers in the sequence which are less than zero.
-80
10 pupils are going on a school trip.
The 5 at the end of £85 can only be made by multiplying £7 since any number of £10 will leave 0 at the end. 5 lots of £7 = £35 plus 5 lots of £10 = £50 £35+£50 =£85
2 marks
It costs £10 including lunch.
Some children take their own packet lunch.
They pay only £7.
The 10 pupils pay a total of £85
How many children are taking their own packet lunch?
Show your working. You
may get a mark.
5
Each of these bags contains £1.80
Complete this table to show how many coins are in each bag.
1 mark
Each bag contains only one type of coin.
1pcoins
10pcoins
20pcoins
One has been done for you.
Type of coin Number of coins
1p
10p
20p
180
189
Which is larger, or ?3 55 8
58
1 mark
Explain how you know.
35 = 24
4058 = 25
40and
35
58
24 25
These are the prices of sandwiches, drinks and fruit.
Sandwiches Drinks Fruit
£1.98
cheese £1.25 milk 46p apple 18p tuna £1.80 cola 55p pear 25p salad £1.30 juice 60p melon 24p
Maureen buys a cheese sandwich, cola and an apple.
How much does she pay?1 mark
milk melonand1 mark
Betty has 70p to spend on a fruit and a drink.
What two things can she buy for exactly 70p?
…………… ……………
Ellis has 56 plants.
He plants 4 plants in each of his pots.
How many pots does he need?
141 mark
pots
How many plants did she start with?
1 mark
Audrey puts 5 plants in each of her pots.
She uses 7 pots and has 2 plants left over.
37
56 ÷ 4
5 x 7 + 2
2 marks
Aimee bought some bags of green apples and some bags of red apples.
She spent £4.10
How many bags of each type of apple did she buy?
4
Red apples 45p for 4
Green apples 80p for 10
1 bag of each costs £1.25
Show your working. You
may get a mark.
2bags of red apples
bags of green apples
2 bags of each costs £2.50 which is £1.60 short
£1.60 = 2 bags of green apples
BLANK PAGE
End of test