FREE Online GCSE Maths Tests
FREE Online GCSE Maths Tests
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FREE GCSE Mathematics Mock Exam Higher Level
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GCSE maths past papers – 25 questions
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Question 1 of 25
1. QuestionThe diagram shows a rectangle patio.
Marko is going to cover the patio with tiles.
Each tile is a square of side 50 cm.
Marko buys 113 of the tiles.
(a) Does Marko buy enough tiles to cover whole of the patio?
You must show all your working.
Correctnumber of tiles = (5.5 ÷ .5) x (5 ÷ .5) = 11 x 10 = 110 tiles
Then the 113 is enoughOr you can calculate it on cm = (550 ÷ 50) x (500 ÷ 50) = 11 x 10 = 110 tiles
Answer is : Yes and 110
Incorrect


Question 2 of 25
2. QuestionFrom the previous question :
If the one tile costs £2.43
(b) work out the total cost of the tiles.
<write down the final number only>
Correct
Incorrect


Question 3 of 25
3. QuestionSam uses his limousine to deliver food boxes.
For each box Sam delivers there is a fixed charge plus £1.00 for each mile.
You can use the graph to find the total cost of having a box delivered by Sam.(a) How much is the fixed charge?
<write only the number>
Correct£10
Incorrect


Question 4 of 25
4. QuestionKris uses a van to deliver food boxes.
For each box Kris delivers it costs £2.00 for each mile.
There is no fixed charge.(b) Compare the cost of delivering a box by Sam and by Kris.
CorrectKris is cheaper up to 10 miles, Sam is cheaper for more than 10 miles
IncorrectKris is cheaper up to 10 miles, Sam is cheaper for more than 10 miles


Question 5 of 25
5. QuestionWrite the size of angle x
Correct
Incorrect


Question 6 of 25
6. QuestionFind the size of angle y
<write down the size>
Correct
Incorrect


Question 7 of 25
7. QuestionAngle z and angle x are _______ angles.
Correct
Incorrect


Question 8 of 25
8. QuestionThis wheels are fair.
The numbers are added to get a score.
The wheels show a score of 2 + 6 = 8Use this table to help in answering the question :
(a) What is the most likely score?
CorrectIf you fill the table you will find that score 9 is the most likely score
(1,8) (2,7) (3,6) (4,5) (5,4) (6,3) (7,2) (8,1)
IncorrectIf you fill the table you will find that score 9 is the most likely score
(1,8) (2,7) (3,6) (4,5) (5,4) (6,3) (7,2) (8


Question 9 of 25
9. Question(b) If scoring 5,6,14,16 is winning a prize
Work out the probability of winning a prize.
CorrectIf you filled the table you will find the scores 5,6,14,16 counting is 13
and the total number of scores is 64 = 8 x 8
then the probability is 13/64
IncorrectIf you filled the table you will find the scores 5,6,14,16 counting is 13
and the total number of scores is 64 = 8 x 8
then the probability is 13/64


Question 10 of 25
10. QuestionYou can work out the amount of medicine, x ml, to give to a child by using the following formula
If a child age is 2.5 years
and the medicine dose of the adult is 40 ml
Calculate the amount of the medicine to give the child in ml?
Correctamount of medicine = {(2.5 x 12) x 40} ÷ 120
= {30 x 40} ÷ 120
= 1200 ÷ 120 = 10 ml
Incorrectamount of medicine = {(2.5 x 12) x 40} ÷ 120
= {30 x 40} ÷ 120
= 1200 ÷ 120 = 10 ml


Question 11 of 25
11. QuestionHere are the ingredients needed to make 8 small cakes
If you uses 48 ml of milk to make small cakes.
(a) How many cakes will you make with 48 ml of milk?
Correctnumber of cakes = 48 ÷ 12 = 4
4 x 8 = 32 cakes
Incorrectnumber of cakes = 48 ÷ 12 = 4
4 x 8 = 32 cakes


Question 12 of 25
12. QuestionIf you have 400 g of sugar , 1200 g of butter , 1100 g of flour , 420 ml of milk
(b) what is the greatest number of cakes you can do?
CorrectWe take the smallest number because we have not enough material to make the greatest number so
(1100/200) x 8 = 44
IncorrectWe take the smallest number because we have not enough material to make the greatest number so
(1100/200) x 8 = 44


Question 13 of 25
13. Question(a) Describe fully the single transformation that maps shape A to shape B.
Correct
Incorrect


Question 14 of 25
14. Question(b) Continue the other Coordinates of the reflection of shape B
(3,1) (3,3) (6,3) ___ ___ ___ (4,2) (4,1)
Correct
Incorrect


Question 15 of 25
15. QuestionSolve : 16y – 5 = 6y + 15
Correct
Incorrect


Question 16 of 25
16. QuestionBuses to (A) leave a bus station every 22 minutes.
Buses to (B) leave the same bus station every 18 minutes.
A bus to (A) and a bus to (B) both leave the bus station at 8:00 am.
When will a bus to (A) and a bus to (B) next leave the bus station at the same time?
CorrectA after : 22 44 66 88 110 132 154 176 198
B after : 18 36 54 72 90 108 126 144 162 180 198
After 198 minutes = 198/60 = 3:18 hours
8:00 + 3:18 = 11:18 AM
IncorrectA after : 22 44 66 88 110 132 154 176 198
B after : 18 36 54 72 90 108 126 144 162 180 198
After 198 minutes = 198/60 = 3:18 hours
8:00 + 3:18 = 11:18 AM


Question 17 of 25
17. QuestionExpand 4(2y+3x–6)
Correct
Incorrect


Question 18 of 25
18. QuestionFactorise completely 8x+4xy
Correct
Incorrect


Question 19 of 25
19. Question
Correctcheapplanes = 170 + (170×2.5%) + .9 = £175.15
plane4u = 170 +(170×1.5%) + 1.7 = £174.25
Incorrect


Question 20 of 25
20. QuestionIn the following shape there are the size of 4 angles.
Calculate x = ?
write down the final answer
Correct3x 15 + 2x + 2x + 2x + 24 = 360
9x + 9 = 360
9 x = 351
x = 39
Or
3x – 15 = 2x + 24
x = 39
Incorrect3x 15 + 2x + 2x + 2x + 24 = 360
9x + 9 = 360
9 x = 351
x = 39
Or
3x – 15 = 2x + 24
x = 39


Question 21 of 25
21. QuestionThe length of this rectangular tile is 8 times the width.
Two tiles are put together to make this shape
If you know that the perimeter of the new shape is 54 m
Write down the width of one rectangular in cm?
Correctperimeter = 8y + 8y + 2y + 2y
54 = 20y
y = 2.7 m
width = 2.7 x 100 = 270 cm
Incorrectperimeter = 8y + 8y + 2y + 2y
54 = 20y
y = 2.7 m
width = 2.7 x 100 = 270 cm


Question 22 of 25
22. QuestionABC is a rightangled triangle.
(a) Work out the size of angle y.
Correctangle ABD = 180 – 90 – 45 = 45
angle CDB = 180 – 45 = 135
2y = 180 – 135 = 55
y = 27.5
Incorrectangle ABD = 180 – 90 – 45 = 45
angle CDB = 180 – 45 = 135
2y = 180 – 135 = 55
y = 27.5


Question 23 of 25
23. QuestionIf we draw a circle outside the triangle.
Is BC the diameter of the circle?
Correct
Incorrect


Question 24 of 25
24. QuestionArea of trapezium = 1/2 (a +b)h
For a trapezium, a = 6 cm, b = 9 cm and h = 7 cm
All measurements are given to the nearest centimeter.
Work out the minimum possible area.
Correct5.5 8.5 6.5 as lower limit
Area = 1/2 (5.5+8.5)6.5
= 45.5
Incorrect5.5 8.5 6.5 as lower limit
Area = 1/2 (5.5+8.5)6.5
= 45.5


Question 25 of 25
25. QuestionThe manager of a company wants to survey his employees.
He decides to sample 25% of them, stratified by the type of job they do.Office staff drivers mechanics total
20 12 8 40
How many of each group will make the survey?
CorrectYou will multiply every number by 25%
IncorrectYou will multiply every number by 25%

FREE GCSE Mathematics Mock Exam Foundation Level
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GCSE maths past papers – Foundation 1
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Question 1 of 25
1. QuestionWhat is the number marked by the arrow.
Correct
Incorrect


Question 2 of 25
2. QuestionWhat is the number exactly marked by the arrow?
Correct
Incorrect


Question 3 of 25
3. QuestionWhat is the number marked by the arrow?
Correct
Incorrect


Question 4 of 25
4. QuestionHind carried out a survey to find out the fruit her friends like best.
Here are her results.
apples oranges peaches bananas pineapples
bananas bananas oranges apples peaches
bananas oranges pineapples oranges bananas
peaches apples bananas apples bananas
Write in this order
A B C D E
Correct
Incorrect


Question 5 of 25
5. QuestionDany buys
one loaf of bread costing £1.34
one tub of spread costing 94p
two jars of strawberry jam.
Daniel pays with a £10 note.
He gets 4.30p change.
Work out the cost of one jar of strawberry jam.
Correct101.34.944.3=3.42
one jar = 3.42/2 = £1.71
Incorrect101.34.944.3=3.42
one jar = 3.42/2 = £1.71


Question 6 of 25
6. QuestionWhat is the coordinates of the point A?
Correct
Incorrect


Question 7 of 25
7. QuestionThe table shows the results of Samia’s records
of the maximum temperature and the minimum
temperature on each of six days
in January.What is the lowest temperature?
Correct
Incorrect


Question 8 of 25
8. QuestionWhat is the most color in this pie chart?
Correct
Incorrect


Question 9 of 25
9. QuestionThe percentage of green ?
Correct
Incorrect


Question 10 of 25
10. QuestionWrite down the value of √81
Correct
Incorrect


Question 11 of 25
11. QuestionWork out the value of 5² + 2³ ?
Correct5² + 2³ = 25 + 8 = 33
Incorrect5² + 2³ = 25 + 8 = 33


Question 12 of 25
12. QuestionGemo has some toy bricks.
Each brick is a cube of side 2 cm.Gemo uses some of the bricks to make this solid shape.
Gemo adds some more of the bricks to this solid shape to make a cube of side 6 cm.
How many bricks does Amy add?
Correctwe need 19 more cube
Volume of the new cube = 6x6x6 = 216
then 216/8 = 27 cube
we have 7 then we need 27 – 7 = 20
Incorrectwe need 19 more cube
Volume of the new cube = 6x6x6 = 216
then 216/8 = 27 cube
we have 7 then we need 27 – 7 = 20


Question 13 of 25
13. QuestionIf we have a shape like this calculate the surface of the shape ?
CorrectIf we count the sqaures of the surface
we have 28 squares surface
28 x 2 x 2 =112 cm
IncorrectIf we count the sqaures of the surface
we have 28 squares surface
28 x 2 x 2 =112 cm


Question 14 of 25
14. QuestionOn the grid below, draw the view of the solid shape from the direction shown by the
arrow.
Correct
Incorrect


Question 15 of 25
15. QuestionThis is a train time table :
What time should the train get to Hinckley if he take off Birmingham at 7:23?
Correct
Incorrect


Question 16 of 25
16. QuestionHow many minutes should this train take to get to Hinckley from Colechill (third train)?
Correct
Incorrect


Question 17 of 25
17. QuestionThe perimeter of the rectangle is the same as the perimeter of the square.
Work out the length of one side of the square.
Correct(10+3) x 2 = 26
26 / 4 = 6 cm
Incorrect(10+3) x 2 = 26
26 / 4 = 6 cm


Question 18 of 25
18. QuestionYou can use this rule to work out the maximum distance to sit from a TV screen.
{Maximum distance in feet = screen size in inches ÷ 4}
Verona has a TV with a screen size of 32 inches.
She is going to watch her TV.
Work out the maximum distance Verona should sit from the screen?
Correct32 / 4 = 8 feet
Incorrect32 / 4 = 8 feet


Question 19 of 25
19. QuestionPatric should sit a maximum distance of 16 feet from his screen.
Work out the screen size of Patric’s TV.{[ Maximum distance in feet = screen size in inches ÷ 4 ]}
Correct16 x 4 = 64 ”
Incorrect16 x 4 = 64 ”


Question 20 of 25
20. QuestionWhat is the mathematical name of this quadrilateral ?
Correct
Incorrect


Question 21 of 25
21. QuestionA, B and C did a Maths test.
The total for the test was 60 marks.
A got 24 out of 60
Salma got 42% of the 40 marks.
Wendy got 3/8 of the 60 marks.
Who got the highest mark?
CorrectA = 24
B = 42/100 x 60 = 25.2
C = 3/8 x 60 = 22.5
IncorrectA = 24
B = 42/100 x 60 = 25.2
C = 3/8 x 60 = 22.5


Question 22 of 25
22. QuestionThe is the price graph of each miles of delivering parcels.
What is the fixed price ?
Correct
Incorrect


Question 23 of 25
23. QuestionIf this are the prices of toilet roll packs
Which pack gives the better value for money?
Correctfirst pack = 4.23/9 = .47
second pack = 1.96/4 = .49
Incorrect4.23/9 = .47
1.96/4 = .49


Question 24 of 25
24. Question
CorrectDBC = DCB = (180 – 50)/2 = 65
ABD = 180 – 65 = 115
x = 180 – 20 – 115 = 45
IncorrectDBC = DCB = (180 – 50)/2 = 65
ABD = 180 – 65 = 115
x = 180 – 20 – 115 = 45


Question 25 of 25
25. QuestionHow many paving slabs with 30 cm each side can cover this Room ?
Correct3 x 100 x 3.6 x 100 = 108000 cm²
108000 / 30 x 30 = 120 paving slabs
Incorrect3 x 100 x 3.6 x 100 = 108000 cm²
108000 / 30 x 30 = 120 paving slabs

FREE GCSE Mathematics Practice Tests by topic
GCSE Mathematics – Long Multiplication
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GCSE Mathematics – Long Multiplication
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Question 1 of 20
1. Question11 x 11
Correct
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Question 2 of 20
2. Question13 x 12
Correct
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Question 3 of 20
3. Question25 x 35
Correct
Incorrect


Question 4 of 20
4. Question13 x 2
Correct
Incorrect


Question 5 of 20
5. Question15 x 9
Correct
Incorrect


Question 6 of 20
6. Question18 x 5
Correct
Incorrect


Question 7 of 20
7. Question16 x 6
Correct
Incorrect


Question 8 of 20
8. Question225 x 3
Correct
Incorrect


Question 9 of 20
9. Question145 x 5
Correct
Incorrect


Question 10 of 20
10. Question712 x 4
Correct
Incorrect


Question 11 of 20
11. Question71.2 x 4
Correct
Incorrect


Question 12 of 20
12. Question7.12 x 4
Correct
Incorrect


Question 13 of 20
13. Question0.712 x 4
Correct
Incorrect


Question 14 of 20
14. Question0.712 x 0.4
Correct
Incorrect


Question 15 of 20
15. Question132 x 246
Correct
Incorrect


Question 16 of 20
16. Question210 x 51
Correct
Incorrect


Question 17 of 20
17. Question1.56 x 2.44
Correct
Incorrect


Question 18 of 20
18. Question148 x 5
Correct
Incorrect


Question 19 of 20
19. Question23 x 2
Correct
Incorrect


Question 20 of 20
20. Question0.23 x 2
Correct
Incorrect

GCSE Mathematics – Long Division
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GCSE Mathematics – Long Division
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Question 1 of 20
1. Question60 ÷ 2
Correct
Incorrect


Question 2 of 20
2. Question65 ÷ 2
Correct
Incorrect


Question 3 of 20
3. Question70 ÷ 4
Correct
Incorrect


Question 4 of 20
4. Question15 ÷ 2
Correct
Incorrect


Question 5 of 20
5. Question375 ÷ 2
Correct
Incorrect


Question 6 of 20
6. Question895 ÷ 2
Correct
Incorrect


Question 7 of 20
7. Question455 ÷ 4
Correct
Incorrect


Question 8 of 20
8. Question444 ÷ 2
Correct
Incorrect


Question 9 of 20
9. Question168 ÷ 15
Correct
Incorrect


Question 10 of 20
10. Question295 ÷ 20
Correct
Incorrect


Question 11 of 20
11. Question270 ÷ 15
Correct
Incorrect


Question 12 of 20
12. Question150 ÷ 20
Correct
Incorrect


Question 13 of 20
13. Question5 ÷ 2
Correct
Incorrect


Question 14 of 20
14. Question333 ÷ 3
Correct
Incorrect


Question 15 of 20
15. Question3483 ÷ 15
Correct
Incorrect


Question 16 of 20
16. Question3717 ÷ 21
Correct
Incorrect


Question 17 of 20
17. Question7920 ÷ 22
Correct
Incorrect


Question 18 of 20
18. Question350 ÷ 10
Correct
Incorrect


Question 19 of 20
19. Question480 ÷ 40
Correct
Incorrect


Question 20 of 20
20. Question510 ÷ 6
Correct
Incorrect

GCSE Mathematics – Directed Numbers
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GCSE Mathematics – Directed Numbers
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Question 1 of 20
1. QuestionWork out:
2 – (3)
Correct
Incorrect


Question 2 of 20
2. QuestionWork out:
4 – (6)
Correct
Incorrect


Question 3 of 20
3. QuestionWork out:
7 – (8)
Correct
Incorrect


Question 4 of 20
4. QuestionWork out:
1 – (1)
Correct
Incorrect


Question 5 of 20
5. QuestionWork out:
3 – (5)
Correct
Incorrect


Question 6 of 20
6. QuestionWork out:
8 – (0)
Correct
Incorrect


Question 7 of 20
7. QuestionWork out:
4 – (1)
Correct
Incorrect


Question 8 of 20
8. QuestionWork out:
16 – (4)
Correct
Incorrect


Question 9 of 20
9. QuestionWork out:
12 – (18)
Correct
Incorrect


Question 10 of 20
10. QuestionWork out:
5 – (2)
Correct
Incorrect


Question 11 of 20
11. QuestionWork out:
1 – (29)
Correct
Incorrect


Question 12 of 20
12. QuestionWork out:
2 – (100)
Correct
Incorrect


Question 13 of 20
13. QuestionWork out:
8 – (6)
Correct
Incorrect


Question 14 of 20
14. QuestionWork out:
7 – (14)
Correct
Incorrect


Question 15 of 20
15. QuestionWork out:
15 – (25)
Correct
Incorrect


Question 16 of 20
16. QuestionWork out:
15 + (16)
Correct
Incorrect


Question 17 of 20
17. QuestionWork out:
20 + (5)
Correct
Incorrect


Question 18 of 20
18. QuestionWork out:
21 + (3)
Correct
Incorrect


Question 19 of 20
19. QuestionWork out:
12 + 2
Correct
Incorrect


Question 20 of 20
20. QuestionWork out:
25 + 5
Correct
Incorrect

GCSE Mathematics – Times Table Test
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GCSE Mathematics – Times Table Test
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Question 1 of 20
1. Question2 x 2 =
Correct
Incorrect


Question 2 of 20
2. Question2 x _ = 18
Correct
Incorrect


Question 3 of 20
3. Question10 x4 = _0
Correct
Incorrect


Question 4 of 20
4. Question9 x 9 = 8_
Correct
Incorrect


Question 5 of 20
5. Question10 x 10 = 10_
Correct
Incorrect


Question 6 of 20
6. Question3 x _ = 6
Correct
Incorrect


Question 7 of 20
7. Question_ x 7 = 63
Correct
Incorrect


Question 8 of 20
8. Question8 x _ = 56
Correct
Incorrect


Question 9 of 20
9. Question7 x 8 = 5_
Correct
Incorrect


Question 10 of 20
10. Question3 x 3 =
Correct
Incorrect


Question 11 of 20
11. Question6 x 7 = 4_
Correct
Incorrect


Question 12 of 20
12. Question7 x _ = 49
Correct
Incorrect


Question 13 of 20
13. Question6 x 5 = 3_
Correct
Incorrect


Question 14 of 20
14. Question5 x 5 = _5
Correct
Incorrect


Question 15 of 20
15. Question3 x 4 = 1_
Correct
Incorrect


Question 16 of 20
16. Question4 x _ = 20
Correct
Incorrect


Question 17 of 20
17. Question5 x _ = 20
Correct
Incorrect


Question 18 of 20
18. Question4 x _ = 28
Correct
Incorrect


Question 19 of 20
19. Question2 x 4 =
Correct
Incorrect


Question 20 of 20
20. Question3 x 10 = _0
Correct
Incorrect

GCSE Mathematics – Lowest Common Multiple
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GCSE Mathematics – Lowest Common Multiple
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Question 1 of 15
1. QuestionFind the lowest common multiple (LCM) of:
3, 6 and 10
Correct
Incorrect


Question 2 of 15
2. QuestionFind the lowest common multiple (LCM) of:
12 and 56
Correct
Incorrect


Question 3 of 15
3. QuestionFind the lowest common multiple (LCM) of:
9, 10 and 30
Correct
Incorrect


Question 4 of 15
4. QuestionFind the lowest common multiple (LCM) of:
2, 8 and 20
Correct
Incorrect


Question 5 of 15
5. QuestionFind the lowest common multiple (LCM) of:
2 and 16
Correct
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Question 6 of 15
6. QuestionFind the lowest common multiple (LCM) of:
3 and 7
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Question 7 of 15
7. QuestionFind the lowest common multiple (LCM) of:
5 and 6
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Question 8 of 15
8. QuestionFind the lowest common multiple (LCM) of:
5 and 9
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Question 9 of 15
9. QuestionFind the lowest common multiple (LCM) of:
3, 5 and 6
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Question 10 of 15
10. QuestionFind the lowest common multiple (LCM) of:
10 and 45
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Question 11 of 15
11. QuestionFind the lowest common multiple (LCM) of:
9, 14 and 42
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Question 12 of 15
12. QuestionFind the lowest common multiple (LCM) of:
5, 8 and 40
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Question 13 of 15
13. QuestionFind the lowest common multiple (LCM) of:
2, 5, 8 and 20
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Question 14 of 15
14. QuestionFind the lowest common multiple (LCM) of:
9 and 12
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Question 15 of 15
15. QuestionFind the lowest common multiple (LCM) of:
15 and 10
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GCSE Mathematics – Fractions
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1. QuestionConvert 1/2 into a decimal number
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2. QuestionConvert 3/8 into a decimal number
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3. QuestionConvert 3/4 into a decimal number
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4. QuestionCalculate 3/8 + 2/5
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5. QuestionCalculate 2/8 + 1/8
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6. QuestionCalculate 3/5 – 1/2
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7. QuestionCalculate 2 3/5 – 1 1/2
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8. QuestionCalculate 2 3/5 + 1 1/2
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Question 9 of 15
9. QuestionWrite 0.44 as a fraction
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Question 10 of 15
10. QuestionCalculate 5/6 + 1/2
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11. QuestionCalculate 5/6 ÷ 5/6
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12. QuestionCalculate 3/8 ÷ 9/2
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Question 13 of 15
13. QuestionCalculate 3 3/8 x 2 2/3
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Question 14 of 15
14. QuestionCalculate 2 1/8 + 1 1/2
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Question 15 of 15
15. QuestionCalculate 3 5/8 x 2 5/6
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GCSE Mathematics – Mode, Median, Mean, Moving Averages, Range
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GCSE Mathematics – Mode, Median, Mean, Moving Averages, Range
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2. QuestionThe median interval
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Question 3 of 9
3. QuestionThe modal interval
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4. QuestionFor the following 7 numbers, calculate the median: 22, 5, 8, 7, 3, 2, 9
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6. Question
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Question 7 of 9
7. QuestionThe table below shows the number of students who are late each term
Calculate the second 3point moving average
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GCSE Mathematics – Box Plots
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1. Question
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2. QuestionWhat is the median waiting time?
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Question 3 of 6
3. Question
What is the interquartile range of the waiting time?
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Question 4 of 6
4. Question
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Question 5 of 6
5. Question
Calculate the upper quartile
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Question 6 of 6
6. QuestionCalculate the lower quartiles
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