YEAR 5 END OF YEAR...

Mathematics Department

YEAR 5 END OF YEAR REVISION

Summer 2018

You MUST bring this booklet with you to every lesson.

NAME: ………………………………………………..…. FORM: ……...

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Copyright ©2018 Dulwich Prep London

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Contents

Number

- Place Value and Rounding (including to 1 and 2 decimal places)

- Addition and Subtraction

- Multiplication and Division

- Long Multiplication

- Number Properties

- Fractions: Equivalent fractions, Improper fractions, Mixed numbers

- Fractions and Percentages of Amounts

- Ratio

- Four operations with decimals

- Ordering decimals

- Negative numbers

- Sequences

- BIDMAS

Shape and Space

- Properties of 2D and 3D Shapes

- Area and Perimeter (including triangles and compound shapes)

- Nets

- Surface Area

- Volume

- Drawing and measuring angles

- Angle Rules

- Co-ordinates

Units and Measures

- Metric Measurement

- Time

Data Handling

- Probability

- Averages

- Graphs

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NUMBER

Place Value and Rounding

Place Value

- Reference: Galore Park Revision Guide - Chapter One, pgs 12-13

1) Write a number where the digit ‘9’ has the following place values.

e.g. Hundred = 925

a) Tens b) Ten Thousands

c) Units

d) Thousands

e) Millions

f) Hundred Thousands ____________

2) Write these numbers in digits:

a) Six thousand, two hundred and fifty nine

b) Seven hundred and three thousand, six

hundred and twenty-seven

c) Forty-two thousand, five hundred and three

d) Seven million, three hundred and two thousand

and six hundred

3) Write these numbers in words:

a) 6 017

……………………………………………………………………………………………….

b) 2 836 003

……………………………………………………………………………………………….

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4) Write down the number which is:

a) Ten times bigger than 85

………………………………………..

b) One hundred times bigger than 176

…………………………………………….

c) One thousand times smaller than 943 024

......................................................................

d) Ten times smaller than 7 345

……………………………………………..

e) One thousand times bigger than 106

………………………………………..

f) One hundred times smaller than 150

…………………………………………….

And a few mini-challenges

The digit in my thousands place is 2. The digit in

my units place is 3 less than 10. The digits in the

tens and hundreds places are the same and

together those digits add up to 10. What

number am I?

Rearrange these numbers:

8 2 9 3 5 7 1 6

to create:

a) the largest value possible: ………………………………………

b) the smallest value possible: ……………………………………..

In the number 123 456, which number

holds the greatest value?

Start with the number 4 859. Add 3 to

every place value. What number do you

end up with?

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Rounding

- Reference: Galore Park Revision Guide - Chapter One, pgs 14-17

Round these numbers to the nearest 10, 100 or 1000 (as indicated in the brackets):

e.g. 7893 (10) = 7890

a) 6 415 (10) = b) 743 (100) =

c) 5 953 (1000) = d) 108 735 (1000) =

e) 8 309 (100) = f) 42 642 (100) =

Decimal Rounding

Round the following to one decimal place:

a) 7.682 =

b) 93.578 =

c) 32.605 =

d) 0.66794 =

Round the following to two decimal places:

a) 852.398 =

b) 81.69774 =

c) 45.429507 =

d) 0.08912 =

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Addition and Subtraction

- Reference: Galore Park Revision Guide - Chapter Two, pgs 30 – 31

Addition

1) 8 459 + 3 882 = _______

2) 12 982 + 1 394 = _______

3) Four people weigh their pet cats. Claire’s weighs 987g, Mark’s 942g, Tom’s 868g and Mary’s 781g.

What do they weigh altogether in grams?

Ans: g

How much is this in kilograms?

Ans: kg

4) Amy measures the height of four pupils at a school. They measure; 105 cm, 125 cm, 184 cm and

93cm. What is the combined height of the pupils?

Ans: ___ ___ cm

What is this in metres?

Ans: __ ____ m

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Subtraction

1) 5 768 - 594 = _______

2) 21 403 - 6 658 = _______

3) Bella and Lucy have £1 278. They are saving up for a moped which costs £3 425. How much do they

still need to save?

Ans: £_______

And something a little different:

1) Fill in the blanks in the puzzle below:

2) Complete the following:

94 + = 200

200 - = 82

- 289 = 501

+ 725 = 1660

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Multiplication and Division

- Reference: Galore Park Revision Guide – Chapter Two, pgs 32 – 33 and pgs 36 - 37

Multiplication

1) 6 723 x 6 = _______

2) 4 879 x 7 = _______

3) A container of sweets contains toffees, chocolates, lollies, refreshers and fruit

centres. There are 193 of each type. How many sweets are there altogether?

Ans: _______ sweets

Division 1)

8 4 2 4

2)

6 9 2 4

3) 8 694 ÷ 7 =

4) 9 828 ÷ 12 =

5) 3456 ÷ 18 =

6) 12 672 ÷ 24 =

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7) Flo buys 9 photos by Rankin. They cost £12 465. How much would one photo cost?

Ans: £

8) A batch of new reading books has been delivered to school. There are 275 books.

Each class needs 15 books. How many classes will get the books that they need?

Ans:

And a few puzzles:

1)

7 x = 28

56 ÷ = 8

2 x 9 = 2 6

6 x 6 = 08

2) Katie thinks of a number. She multiplies it by 4, adds 36 and then divides it by 6. Her answer is

14. What is the number?

SUPER CHALLENGE!

Andy and his friend Sam were walking along the road together. Andy had a big bag of marbles.

Unfortunately the bottom of the bag split and all the marbles spilled out. Poor Andy! One third (1

3) of

the marbles rolled down the slope too quickly for Andy to pick them up. One sixth (1

6) of all the marbles

disappeared into the drain. Andy and Sam picked up all they could but half (1

2) of the marbles that

remained nearby were picked up by other children who ran off with them. Andy counted all the marbles

he and Sam had rescued. He gave one third (1

3) of these to Sam for helping him pick them up. Andy put

his remaining marbles into his pocket. There were 14 of them.

How many marbles were there in Andy's bag before the bottom split?

What fraction of the total number that had been in the bag had he lost or given away?

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Long Multiplication

- Reference: Galore Park Revision Guide - Chapter Two, pgs 34 - 35

1) 254 x 23 =

2) 869 x 47 =

3) Lewis takes a train to London. Each train carriage can carry 116 passengers. The train has 12

carriages. What is the total number of passengers that the train can carry?

Ans: _______ passengers

4) What is the area of a rectangular field that is 96m long and 84m wide?

Ans: _______ m2

CHALLENGE!

In each of the blank squares, fill in the missing digit.

5 1

x 9

1 9 9 3

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Number Properties

- Reference: Galore Park Revision Guide - Chapter One, pgs 18 - 22

Divisibility Rules

Learning the divisibility rules can help you to develop your understanding of numbers. Here they are!

Number Properties

Factors

a) List all the factors for the following numbers in ascending order (smallest to largest):

a) 6

………………………………….

b) 25

………………………………..

c) 13

………………………………….

d) 49

………………………………..

e) 102

………………………………….

f) 64

…………………………………

b) What type of number is question 1(c)? (see the next page for a hint…)

…………………………………………….

c) Circle any number which has 3 as a factor:

6 30 33 145

d) Circle any number which has 6 as a factor:

12 15 30 300

2 if it is an even number – all numbers ending in 0, 2, 4, 6, 8 e.g. 30, 62, 74, 96, 138

3 if the sum of the digits is divisible by 3 e.g. 87: 8 + 7 = 15, which is a multiple of 3

4 if you halve the number and it is even e.g. 36: 36 ÷ 2 = 18 (which is even)

5 if its last digit is 0 or 5 e.g. 45 and 130 are divisible by 5

6 if it is even and divisible by 3 e.g. 48 - this is even; 4 + 8 = 12, which is a multiple of 3

8 if the last 3 digits form a number divisible by 8 e.g. 2120: 120 is divisible by 8

9 if the sum of the digits is divisible by 9 e.g. 288: 2 + 8 + 8 = 18, which is a multiple of 9

10 if its last digit is 0 e.g. 270 and 20 are divisible by 10

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Prime Numbers

The numbers circled below are all prime numbers. A prime number only has two factors, one and itself.

Two is the only even prime number. Learn this.

Multiples

1) List the first 5 multiples for the following:

a) 8

…………………………….

b) 13

……………………………

c) 10

……………………………….

d) 22

…………………………….

e) 40

……………………………

f) 19

……………………………….

__

2) Multiple choice question: How many of these numbers are multiples of 3?

18 45 54 65 78 102 123 666 900 10 101

A: 5 B: 6 C: 7 D: 8 E: 9

Square numbers and square roots

Every square number has a square root. This is a number that, when multiplied by itself, gives the square

number. It is the inverse of squaring a number e.g. the square root of 9 = √9 = 3

- Learn the first 10 square numbers and their square roots.

Now try the following:

1) What is 142? ………………………………………

2) a) What is the square root of 81? …………… b) What is the square root of 225? ……………

16 is a square number because 16 = 4 x 4

It can also be written as 42 (4 squared)

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Cube numbers

Mixed questions

1) Look at the numbers listed below:

2 9 19 27 81 125

From this list, and using each number only once, write down:

(i) a multiple of 3 Ans: _______

(ii) a square number Ans: _______

(iii) a cube number Ans: _______

(iv) a prime number Ans: _______

(v) a factor of 38 Ans: _______

2) What is the largest number, less than 100, that is divisible by both 4 and 6?

Ans: _______

3) Find a two-digit odd number that is a square number and the product of whose digits is 8.

Ans: _______

1) Calculate the value of 73. Ans: ………………….

2) Calculate the value of 93. Ans: ……………………

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23

33

43

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Fractions

- Reference: Galore Park Revision Guide - Chapter Three, pgs 42-43

Equivalent fractions

1) Shade in 1

3 of the diagrams below:

a)

b)

2) Shade in 3

4 of the diagrams below:

a)

b)

3) Write 3 equivalent fractions for each of the following:

a) 1

3= = =

b) 2

9= = =

c) 3

5= = =

4) 4) Complete the following:

3

7=

9=

35

d) 7

10= = =

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Improper fractions / mixed numbers

1) Convert these improper fractions to mixed numbers:

a) 42

5 =

b)

19

6 =

c) 33

9 =

d) 50

13 =

2) Convert these mixed numbers to improper fractions:

Mixed questions

1) a) Which is bigger, 3

5 or

7

10 ? (You must show your working).

Ans: _______

b) Which is bigger, 3

11 or

5

12 ? (You must show your working).

Ans: _______

2) Chocolates are packed in boxes of 12. If Mr Ferguson makes 150 chocolates, how many boxes can

he fill and what fraction of a box is left over?

Ans: _______ boxes

Ans: _______ of a box left over

a) 33

4 =

b) 44

5 =

c) 52

7 =

d) 67

12 =

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Fractions and Percentages of Amounts

- Reference: Galore Park Revision Guide - Chapter Three, pgs 58-59 and pgs 62-63

Fractions of a Quantity

1) Find (showing full working):

a) 1

3 𝑜𝑓 240 𝑚 m

b) 1

2 𝑜𝑓 830𝑙 𝑙

c) 1

4 𝑜𝑓 $324 $

d) 2

3 𝑜𝑓 417 𝑔 g

e) 2

5 𝑜𝑓 650 𝑐𝑎𝑟𝑠 cars

Percentages of a Quantity

2) Find (showing full working):

a) 50% 𝑜𝑓 740 𝑘𝑚 km

b) 25% 𝑜𝑓 £73. 92 £

c) 20% 𝑜𝑓 250𝑘𝑔 kg

d) 5% 𝑜𝑓 500 𝑚𝑚 mm

e) 15% 𝑜𝑓 380 𝑝𝑒𝑡𝑠 pets

Remember some key conversions:

1

4 = 25%

1

2 = 50%

3

4 = 75%

1

5 = 20%

1

10 = 10%

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3) The rounders team won 5

8 of its 16 matches. How many matches did it win?

Ans: matches

4) For lunch the choices were lasagne, fish and chips or a jacket potato and cheese. 34% of people had

fish and chips, 27% had a jacket potato and cheese. What percentage of people had lasagne for

lunch?

Ans: %

5) 75% of the 160 boys at a school have a sister. How many boys do not have sisters?

Ans:

6) A group of 160 visits Buckingham Palace. 20% are adults and 55% are boys. How many of the party

are girls?

Ans:

One in every five of the 200 bottles of orange juice has been sold in a shop. How

many are remaining?

A: 40 B: 60 C: 80 D: 120 E: 160 F: 180

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Ratio

- Reference: Galore Park Revision Guide - Chapter Two, pgs 46-49

1) Simplify the following ratios:

a) 25 : 5 b) 132 : 12 c) 2.7: 0.9

2)

a) Share £900 in 5 : 4

b) Share 240 kg in 3 : 5

3) 24 pupils can sit comfortably on 6 benches.

(a) What is the ratio of pupils to benches? Simplify your answer.

(b) If the school has 32 benches, how many pupils can comfortably sit on them?

4) In a bunch of flowers the ratio of pink flowers to white flowers is 5 : 2. There are 21 flowers in the

bunch. How many pink flowers are there in the bunch?

5) Look at the picture below. What is the ratio of shaded to unshaded boxes in the picture?

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Four operations with decimals

- Reference: Galore Park Revision Guide - Chapter One, pgs 30 – 37 and Chapter Three, pgs 50 - 51

Addition with Decimals

1) 74.85 + 48.74 = _______

2) 254.32 + 36.456 = __________

Subtraction with Decimals

1) 94.8 – 54.6 = __________

2) 402.4 – 67.52 = __________

Multiplication with Decimals

1) 327.8 x 5 = __________

2) 645.3 x 6 = __________

Division with Decimals

1) 202.4 ÷ 8 = __________

2) 1334.7 ÷ 9 =

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Mixed questions – decimals

1) Alen ran 100m in 12.42 seconds. Zain was 1.05 seconds faster. What was Zain’s time?

Ans:

2) Three numbers add up to 20. Two of the numbers are 3.65 and 2.67. What is the third number?

Ans:

3) I want to buy 5 magazines at £2.90 each. How much will I pay in total for the magazines?

Ans: £

4) 6 tennis balls £7.20. What is the cost of one tennis ball?

Ans: £

CHALLENGE QUESTIONS

I have three numbers. The second is twice as big as the first and the third is twice as

big as the second. If the numbers add up to 29.75, what are my three numbers?

I think of three numbers. The second is twice as big as the first and the third is

twice as big as the second. If the first number is 3.75, what is the sum of my three

numbers?

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Ordering Decimals

- Reference: Galore Park Revision Guide - Chapter One, pgs 12-13 and Chapter Three,

pgs 56-57

1) Write each set of numbers in ascending order.

(a) 20.1, 2.1, 21

(b) 0.77, 0.707, 0.0077

(c) 5.055, 55, 5.5

(d) 4.044, 4.04, 40

(e) 600, 60.06, 60.6

2) Write each set in order, starting with the largest.

(a) 90.9, 9.099, 90.09

(b) 33.03, 30.03, 33.303

(c) 7.007, 77, 77.07

(d) 14.5, 14.05, 15.04

(e) 2.031, 3.201, 2.301

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Negative Numbers

- Reference: Galore Park Revision Guide - Chapter Two, pgs 26 - 27

1) Calculate the following:

a) -14 + 9 =

b) -32 + 18 = c) -21 – 13 =

d) -36 – 15 =

e) 9 + (-3) = f) -8 + (-15) =

g) 6 – (+28) = h) 7 – (-6) = i) -55 – (-11) =

2) The temperature at noon is 8oC and at night it is -5oC. What is the change in temperature?

Ans: …………………………. oC

3) Look at the graph below, showing the average temperature monthly temperature in Moscow. What is

the difference between the average temperature in February and the average temperature in July? (use a

ruler to help you with this question).

Ans: …………………… oC

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Sequences

- Reference: Galore Park Revision Guide – Chapter Five, pgs 122 - 125

Follow the rule to find the first 5 terms for these sequences

1) Start at 7 and add 4 each time

2) Start at 35 and subtract 6 each

time

3) Start at 12 and add 7 each time

Also remember number properties…

What are the next two terms in this sequence?

2 3 5 7 …….. …………

EXT: Write terms of a sequence from an nth term expression

Write the first 5 terms for these 𝑛𝑡ℎ terms

1) 𝑛 + 4

2) 2𝑛 − 5

3) 10 − 2𝑛

SUPER- EXT:

Finding the nth term

Find the nth term of the following sequences:

a) 6 12 18 24 30 ……………………………………

b) 3 7 11 15 19 ………………………………..….

c) 1 4 9 16 25 …………….……………………

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BIDMAS

- Reference: Galore Park Revision Guide - Chapter Two, pgs 28- 29

BIDMAS

1) 4 + 3 x 6

2) 12 + 2 x 6 + 5 3) 4 x 3 + 4 x 6

4) (4 + 2) x 7

5) 12 x 23

6) 6 – (2 - 1) x 3

Problem solving – BIDMAS - EXTENSION

Fill in the blanks with +, - , x or ÷ to make these calculations correct.

1) 5 …………. 2 …………..3 = 11

2) 8 ………….. 6 …………..2 = 5

3) 4 ……………3 …………..2 = 14

4) 14 …………. 2 ………….. 3 = 21

5) 3 …………… 2………… 2 = 3

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SHAPE AND SPACE

Properties of 2D and 3D Shapes

- Reference: Galore Park Revision Guide - Chapter Four, pgs 78 – 85 and pgs 100 - 101

Key knowledge:

2D shapes: You need to learn the names and properties of all polygons with number of sides up to 10,

plus a dodecagon (12). This includes line symmetry and order of rotational symmetry. Remember that

a shape with equal sides and angles is regular, otherwise it is irregular. A regular shape has the same

number of lines of symmetry as its number of sides. It has the same order of rotational symmetry as its

number of sides.

o Other key words: parallel, perpendicular, congruent.

3D shapes: Cube, cuboid, triangular prism, cylinder, sphere, square-based pyramid, cone, edge, vertex

(plural – vertices), face. Recognise that a prism has the same face at each end.

Properties of 2D Shapes

1) Complete the following 3 tasks in relation to the shapes below:

(i) Draw on all of the lines of symmetry;

(ii) Name the shape underneath; and

(iii) State the order of rotational symmetry.

a)

b)

c)

d)

2) List four quadrilaterals:

......................................................................................

………………..........................................................

………………………………………………..

…………………………………………………

Name of shape:

………………………

Order of rotational

symmetry:

………………………

Name of shape:

………………………

Order of rotational

symmetry:

………………………

Name of shape:

………………………

Order of rotational

symmetry:

………………………

Name of shape:

………………………

Order of rotational

symmetry:

………………………

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3) How many sides do the following polygons (2D shapes) have?

a) Pentagon: _________

b) Parallelogram: _________

c) Decagon: _________

d) Dodecagon: _________

e) Nonagon: _________ f) Heptagon: _________

4) What is the name of the quadrilateral with only one pair of parallel sides? Draw this shape below,

clearly indicating how someone looking at it would be able to tell that the lines are parallel.

Name of shape: ……………………… Drawing:

5) Which of the shapes in the illustration below are congruent?

Ans: ……………………………………………………………………………………………..

6) Name the following shapes:

a) b) c)

……………………………………… ………………………………. ……………………………………………

4 m

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Area and Perimeter

- Reference: Galore Park Revision Guide - Chapter Four, pgs 92 - 99

Area and Perimeter of basic shapes

1) Find the area and perimeter of the following shapes (show your working!)

Area: …………………cm2 Area: …………………cm2 Area: …………………cm2

Perimeter: …………….. cm Perimeter: ………… cm Perimeter: ……………cm

2) What is the area of a square with side lengths of 8cm?

Ans: ………………….cm2

3) What are the side lengths of a square with area of 144cm2?

Ans: …………………cm

4) What the side lengths of a square with perimeter of 24cm?

Ans: …………………cm

5) Hugh is making a display board for the school trip. The display board is a 10m by 6m rectangle. He

needs to add a ribbon border around the entire display board. What is the length of ribbon that he

needs?

Ans: …………………m

7 cm

5 cm 7 cm 13 cm

24 cm

5 cm

13 cm

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Compound Shapes

Work out the area and perimeter of the following shapes by finding the missing sides. The shapes are not

drawn to scale:

Area: …………………………….. cm2 Area: ………………………………… cm2

Perimeter: ……………………….. cm Perimeter: ……………………………. cm

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Nets


1)

2) In the space below, draw a net for a cuboid, measuring 2cm x 3cm x 4cm. You must use a ruler.

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Surface Area

- Reference: Galore Park Revision Guide - Chapter Four, pgs 94-95 and 100-101

See also the example below:

Remember that cuboids have six faces: top, bottom, left, right front, back.

e.g.

OR calculate the area of one of each pair of sides and then multiply your answer by 2.

Find the surface area of the following cuboids:

1)

5 cm

Ans…………………….. cm2

2)

10 cm Ans…………………….. cm2

3)

Ans…………………….. cm2

8cm

3cm

5cm

Top: 8 x 3 = 24 Bottom: 8 x 3 = 24 Left: 3 x 5 = 15 Right: 3 x 5 = 15 Front: 5 x 8 = 40 Back: 5 x 8 = 40

SURFACE AREA = 158cm²

2 cm

3 cm

9 cm

4 cm

11 cm

9 cm

10 cm

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Volume

- Reference: Galore Park Revision Guide - Chapter Four, pgs 102-103

Volume = length x width x height

Find the volume of the following cubes and cuboids.

1)

Ans…………………….. cm3

2)

Ans…………………….. cm3

3)

Ans…………………….. cm3

4) A water tank is in the shape of a cuboid and has length 20m, width 10m and depth 4m. How much

water does it hold?

Ans…………………….. cm3

8 cm

8 cm

8 cm

3 m

6 m

4 m

2 cm

60 mm

5 cm

33

Drawing, measuring and calculating angles


Drawing and measuring

1) Name the type of angle and measure it using a protractor (accuracy is very important)

a) Name: __________

__________°

b) Name: __________

__________°

c) Name: __________

__________°

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2) Draw the following angles at B (ACCURACY!!)

125°

3) Draw the following angle at A (ACCURACY!!)

63°

CHALLENGE:

Use a ruler and protractor to draw a triangle with one side 7cm and two angles of 30° and 70°

A B

35

Angle Rules


Find the missing angles in the diagrams below. The diagrams are not drawn to scale. You should not use a

protractor; you need to calculate your answers.

1) a0 = …………..

2) b0 = …………..

3) c0 = …………..

4) n0 = …………..

5) p0 = …………..

6) h0 = …………..

7) g0 = …………..

8) i0 = …………..

9) q0 = …………..

r0 = …………..

a⁰ b⁰

53⁰ c⁰

Angles on a straight line add up to 180o Angles around a point add up to 360o

Vertically opposite angles are equal Angles in a triangle add up to 180o

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10) e0 = …………..

11) d0 = …………..

12) u0 = …………..

13)

co =

14)

vo =

wo =

xo =

15)

go =

ho =

io =

CHALLENGE:

What is the angle between the hands of the clock at:

a) 2 o’clock?

b) 7 o’clock?*

c) half past one?

d) quarter to 12?

37

Co-ordinates

- Reference: Galore Park Revision Guide - Chapter Four, pg 112

1) On the grid below, plot and label the following points:

A (7, 3) B (-7,- 6) C (5,- 3) D (-6, 1)

2) Fill in the table underneath this grid.

Letter Coordinate Letter Coordinate

A e.g. (-8, 8) E

B F

C G

D H

B

C

H

A

F

G

x

x E x

x

x

x

x D

x

Remember, “along the corridor and up the stairs”

38

UNITS AND MEASURES

Metric Measurement


Length and Measurement

1) Measure these lines and write down how long they are in cms and mms:

2) Measure the length of sides of the triangle in millimetres and write these measurements next to

the relevant sides:

Metric Units and Scales

3) Convert the following units of measurement:

a) 8 cm = mm

b) 12m = cm

c) 24 000m = km d) 7. 6kg = g

e) 304mm = cm f) 48m = cm

4) I have to fill the classroom fish tank with clean water. The fish tank holds 10 litres and the small jug I

have to use holds 400ml. How many full jugs do I need to fill the tank?

Ans: …………………. jugs

a)

b)

c)

_______ cm

_______ mm

_______ cm

_______ mm

_______ cm

_______ mm

39

5) My garden has left and right length of 15m and a width of 12m. If fencing panels are 90cm wide, how

many will I need to build a fence around the three sides of my garden?

Ans: …………………… panels

6) What is the mass shown on the scale below?

Ans: …………………… g

7) Write down the reading shown by each jug below.

8) Write down the measurements that the arrows point to:

A. ________ B. ________ C. ________ m

A. ________ cm

B. ________ cm

C. ________ cm

2 m 3 m 4 m 5 m

A B C

120 cm 140 cm 160 cm 180 cm

B C A

Jug A:

……………………. ml

Jug B:

……………………. ml

40

Time


1) a) Convert the following from 12 hour to 24

hour time:

(i) 8:26 pm

(ii) 12:57 am

(iii) 7:07 pm

(iv) 12:29 am

(v) 11:41 am

b) Convert the following from 24 hour to 12

hour time:

(i) 1010

(ii) 1943

(iii) 1118

(iv) 1426

(v) 0034

2)

3)

……………………………………………..

……………………………………………..

……………………………………………..

Write these times in hours and minutes:

a) 250 minutes

b) 500 minutes

Louise won the cross-country race in 1 hour

43 minutes. The race started at 13:45. At

what time did she finish?

41

DATA HANDLING

Probability

- Reference: Galore Park Revision Guide - Chapter Six, pgs 156-157

1) Zara has two spinners:

a) What is the probability of spinning a 3 on spinner A? Ans: …………………….

b) On which spinner is Zara more likely to get a 5? Give a reason for your answer?

………………………………………………………………………………………………….

2) Look at the spinner below:

3) A die is thrown. What is the probability of throwing:

a) a multiple of 3? ……………. c) a square number? …………….

b) a prime number? …………….

Give your answers as

simplified fractions

a) What is the probability of the spinner landing on E? ……..….

b) What is the probability of the spinner landing on A or B? ………..

c) What is the probability of the spinner landing on one of the first five

letters of the alphabet?

………….

d) Are you more likely to spin a vowel or a consonant? Explain your

answer.

……………………………………………………………………….

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Averages

- Reference: Galore Park Revision Guide - Chapter Six, pgs 146-147

Find the mean, median, mode and range for the following sets of numbers:

1) 5, 8 , 5, 2, 1, 3, 4

Mean =

Median =

Mode =

Range =

2) 11, 21, 12, 7, 9, 12

Mean =

Median =

Mode =

Range =

3) This frequency table shows how many pets the pupils in my class have.

Number of pets Tally Frequency Total

0 11

1 1111 1

2 1111 1111

3 11

4 1

TOTAL

a) What is the modal (another way of saying the mode) number of pets owned by pupils in the class? ………..

b) What is the mean number of pets owned by pupils in the class?

…………..

EXT: What is the median number of pets owned by pupils in the class?

……………….

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Graphs

- Reference: Galore Park Revision Guide – Chapter Four, pgs 134 - 154

Bar Graphs

1) Miss Jones carried out a survey of all the maths equipment in R2. These were the results:

Ruler Compass Calculator Scissors Compass Scissors Calculator Protractor

Protractor Compass Scissors Compass Protractor Compass Scissors Compass

Compass Ruler Protractor Calculator Scissors Protractor Protractor Calculator

a) Complete the table below showing the information from the survey:

Maths Equipment Tally Frequency

Scissors

Protractor 6

Ruler ll

Calculator

Compass

TOTAL:

b) Complete the bar graph below. You need to:

Put numbers on the vertical axis

Draw the rest of the bars

Give the graph a title and label the axes

Scissors Protractor Ruler Calculator Compass

44

Line Graphs

a) Look at the graph above, on which day was the midday temperatures the hottest?

Ans: ………………….

b) What was the range of midday temperatures for the week?

Ans: ………………….

c) How many days had a midday temperature of below 25 ⁰C?

Ans: ………………….

What was the mean midday temperature for the week?

Ans:

What was the median temperature for the week?

Ans:

45

Pictograms

The pictogram gives information about the number of goals scored in a local football league in each of 3

weeks.

a) Find the number of goals scored in the first week. Ans: …………………

b) Find the number of goals scored in the third week. Ans: …………………

8 goals were scored in the fourth week.

5 goals were scored in the fifth week.

Complete the pictogram

Pie charts

The pie chart below shows the colours of 32 beads.

How many beads are green? ……………………

YEAR 5 END OF YEAR...

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