5 Minute Maths Mastery - Year 5

5 Minute Maths Mastery 5

8

7 %

3

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Chief editor: Zhou Jieying Consultant: Fan Lianghuo

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Year

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CONTENTS How to use this book............................................................................................................................4 Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Test 8 Test 9 Test 10 Test 11 Test 12 Test 13 Test 14 Test 15 Test 16 Test 17 Test 18 Test 19 Test 20 Test 21 Test 22 Test 23 Test 24 Test 25 Test 26 Test 27 Test 28 Test 29 Test 30 Test 31 Test 32 Test 33 Test 34 Test 35 Test 36 Test 37 Test 38 Test 39 Test 40

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Knowing large numbers (1)....................................................................................................5 Knowing large numbers (2)....................................................................................................6 Knowing large numbers (3)....................................................................................................7 Counting forwards and backwards in steps of powers of 10...............................................8 Rounding of large numbers (1)..............................................................................................9 Rounding of large numbers (2)............................................................................................10 Roman numerals to 1000....................................................................................................11 Positive and negative numbers (1)......................................................................................12 Positive and negative numbers (2)......................................................................................13 The number line (1)..............................................................................................................14 The number line (2)..............................................................................................................15 Adding five-digit numbers...................................................................................................16 Subtracting five-digit numbers............................................................................................17 Multiplication and division...................................................................................................18 Multiplying and dividing by 10, 100 or 1000 (1)..................................................................19 Multiplying and dividing by 10, 100 or 1000 (2)..................................................................20 Multiplying and dividing by 10, 100 or 1000 (3)..................................................................21 Multiplying and dividing by 10, 100 or 1000 (4)..................................................................22 Multiplying using two- and three-digit numbers (1).............................................................23 Multiplying using two- and three-digit numbers (2).............................................................24 Multiplying using two- and three-digit numbers (3).............................................................25 Multiplying using two- and three-digit numbers (4).............................................................26 Multiplying using two- and three-digit numbers (5).............................................................27 Dividing two- or three-digit numbers by a two-digit number (1).........................................28 Dividing two- or three-digit numbers by a two-digit number (2).........................................29 Dividing two- or three-digit numbers by a two-digit number (3) ........................................30 Dividing two- or three-digit numbers by a two-digit number (4).........................................31 Dividing two- or three-digit numbers by a two-digit number (5).........................................32 Dividing multi-digit numbers by a two-digit number (1)......................................................33 Dividing multi-digit numbers by a two-digit number (2)......................................................34 Meaning of integers and divisibility (1)................................................................................35 Meaning of integers and divisibility (2)................................................................................36 Factors and multiples (1).....................................................................................................37 Factors and multiples (2).....................................................................................................38 Square numbers and cube numbers...................................................................................39 Numbers divisible by 2 and 5..............................................................................................40 Prime numbers, composite numbers and prime factorisation (1).......................................41 Prime numbers, composite numbers and prime factorisation (2).......................................42 Solving calculations in three steps (1).................................................................................43 Solving calculations in three steps (2).................................................................................44

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Test 41 Test 42 Test 43 Test 44 Test 45 Test 46 Test 47 Test 48 Test 49 Test 50 Test 51 Test 52 Test 53 Test 54 Test 55 Test 56 Test 57 Test 58 Test 59 Test 60 Test 61 Test 62 Test 63 Test 64 Test 65 Test 66 Test 67 Test 68 Test 69 Test 70 Test 71 Test 72 Test 73 Test 74 Test 75 Test 76 Test 77 Test 78 Test 79 Test 80

Function machines (1) ........................................................................................................45 Function machines (2) ........................................................................................................46 Unit rates ............................................................................................................................47 Four operations of numbers (1) ..........................................................................................48 Four operations of numbers (2) ..........................................................................................49 Four operations of numbers (3) ..........................................................................................50 Four operations of numbers (4) ..........................................................................................51 Addition and subtraction of fractions (1) ............................................................................52 Addition and subtraction of fractions (2) ............................................................................53 Comparing fractions (1) ......................................................................................................54 Comparing fractions (2) ......................................................................................................55 Improper fractions and mixed numbers .............................................................................56 Addition and subtraction of fractions with related denominators (1) .................................57 Addition and subtraction of fractions with related denominators (2) .................................58 Multiplying fractions by whole numbers (1) ........................................................................59 Multiplying fractions by whole numbers (2) ........................................................................60 Properties of decimals (1) ...................................................................................................61 Properties of decimals (2) ...................................................................................................62 Properties of decimals (3) ...................................................................................................63 Properties of decimals (4) ...................................................................................................64 Properties of decimals (5) ...................................................................................................65 Addition of decimals...........................................................................................................66 Subtraction of decimals .....................................................................................................67 Addition and subtraction of decimals (1)............................................................................68 Addition and subtraction of decimals (2)............................................................................69 Practice ..............................................................................................................................70 Percentages (1)...................................................................................................................71 Percentages (2)...................................................................................................................72 Converting kilograms and grams .......................................................................................73 Litres and millilitres (1) ........................................................................................................74 Litres and millilitres (2) ........................................................................................................75 Speed, time and distance (1)..............................................................................................76 Speed, time and distance (2)..............................................................................................77 Volume ................................................................................................................................78 Metric units and imperial units for measurement ...............................................................79 Volume and capacity ..........................................................................................................80 Measurement of angles (1) .................................................................................................81 Measurement of angles (2) .................................................................................................82 Measurement of angles (3) .................................................................................................83 Calculation of angles ..........................................................................................................84

Answers ............................................................................................................................................85

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Counting forwards and backwards in steps of powers of 10

4

STEP 1

Date: Day of Week: Start the timer

Warm-up

1

min

Write the next four numbers in each sequence.

Sequence + 100

5645

– 100

7076

+ 1000

45 863

– 1000

93 207

STEP 2

Start the timer

Rapid calculation

2.5 min

Write the next four numbers in each sequence.

Sequence + 1000

78 346

– 1000

95 079

+ 10 000

467 374

– 10 000

230 458

+ 100 000

545 983

– 100 000

909 921

STEP 3

1.5 min

Start the timer

Challenge

Identify and complete each sequence.

Sequence

8

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Time spent:

483 473

473 473

463 473

29 044

28 944

28 844

678 547

578 547

478 547

358 975

359 975

360 975

min

sec. Total:

out of 52

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6

Rounding of large numbers (2) STEP 1

1

min

Date: Day of Week: Start the timer

Warm-up

Answer these.

205 + 195 =

801 – 36 =

64 × 25 =

2436 ÷ 6 =

96 × 125 =

1200 ÷ 5 =

234 + 33 =

514 – 407 =

STEP 2

2.5 min

Start the timer

Rapid calculation

Round the numbers to the nearest hundred thousand.

6 230 194 ≈

805 235 ≈

785 990 693 ≈

7 893 114 ≈

96 154 023 ≈

7 981 813 ≈

73 450 176 ≈

9 761 210 ≈

83 509 633 ≈

176 853 142 ≈

9 358 271 ≈

7 144 432 ≈

294 702 356 ≈

700 395 295 ≈

94 983 509 ≈

STEP 3

1.5 min

Challenge

Start the timer

Mind Gym

Round the numbers in the table below to the nearest ten thousand and hundred thousand.

Ten thousand

Sophie’s house number is a symmetrical four-digit number. The sum of the four digits are equal to the two-digit number which is formed by the first two digits of the house number.

Find Sophie’s house number.

Hundred thousand

540 703 739 206 5 493 270 3 189 045

10

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Time spent:

min

sec. Total:

out of 31

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Date:

Roman numerals to 1000

Day of Week:

STEP 1

1

min

7

Start the timer

Warm-up

Answer these.

I=

V=

XX =

X=

C=

IV =

VI =

M=

L=

D=

STEP 2

2.5 min

Start the timer

Rapid calculation

Answer these.

III =

XIV =

CCC =

XCVIII =

XXIX =

VII =

XIX =

DC =

MDC =

MMX =

IX =

CL =

CM =

LXV =

XLIX =

STEP 3

1.5 min

Start the timer

Challenge

Answer these.

XXXIV =

XCV =

LXXX =

MC =

MD =

MCM =

MCMLXX =

MCMXCV =

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Time spent:

min

sec. Total:

out of 33

11

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Date:

The number line (2) 11

Day of Week:

STEP 1

1

min

Start the timer

Warm-up

Compare each pair of numbers by writing <, > or = in each box. You can use the number line to help you.

–7

–6

–5

–4

–3

–2

–1

0

1

2

3

4

5

6

7

+2

–2

1

–1

–2

–1

6

–3

–5

–3

0

–1

+3

–3

–4

–2

1

–6

4

+4

STEP 2

2.5 min

Start the timer

Rapid calculation

Compare each pair of numbers by writing <, > or = in each box. You can use the number line above to help you. +1

–1

–5

+3

–2.5

–4.5

–3.8

2.9

0

–1

–6

–1

–0.2

–0.9

–5.1

–1.5

–5

–5.5

–6

2 5

−

–5.2

2.9

–0.5

–0.8

+3

−

STEP 3

1.5 min

+1.8

3 7

−

3 5

Challenge

−

4 5

–

1. –7, +5, +3.5, 0, –2.5, –4

2. +0.3, +1.5, –0.5, 6.5, –2.8, 0

1 2

Mind Gym

Start the timer

Write each set of numbers from from greatest to least.

3 4

0.5

A quality inspector examines the lengths of some rods. She marks the overlength rods as positive and the underlength ones as negative. The results are: First rod: 0.13 mm Second rod: –0.2 mm Third rod: –0.1 mm Fourth rod: 0.15 mm

3. +0.8, –7.5, 1, +3, –0.8, –1

Which rod is the shortest?

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Time spent:

min

sec. Total:

out of 29

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Date:

12 Adding five-digit numbers STEP 1

Day of Week: Start the timer

Warm-up

1

min

Answer these.

+

7

1

9

8

8

6

6

9

STEP 2

+

9

2

8

3

1

1

9

3

+

9

0

0

9

5

8

4

9

+

2

3

6

8

4

8

8

3

Start the timer

Rapid calculation

2.5 min

Answer these.

+

+

3

2

4

8

5

2

1

6

2

2

1

4

0

3

0

1

2

8

4

9

STEP 3

1.5 min

+

+

6

8

5

3

7

6

3

7

3

3

9

6

4

6

8

5

5

2

3

1

+

+

6

6

4

6

1

1

8

6

3

4

4

6

8

5

3

9

0

5

5

5

+

+

4

6

5

1

5

6

9

9

1

8

9

4

4

8

9

7

3

8

7

2

Start the timer

Challenge

Answer these.

+

+

7

5

7

7

0

9

9

7

1

7

1

9

3

0

2

4

5

3

0

7

3

7

0

2

9

9

9

3

1

0

4

1

4

2

6

8

6

6

2

0

2

5

1

4

0

5

0

9

5

0

9

0

8

5

3

9

2

7

5

3

16

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Time spent:

+

+

min

sec. Total:

out of 16

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CONTENTS

74 Volume STEP 1

Date: Day of Week: Start the timer

Warm-up

1

min

Complete these.

1. The size of the space that an object takes up is called the

of the object.

2. The edge length of a cube of volume 1 cm3 is

.

3. The volume of a cube of edge length 1 m is

.

4. The volume of a cuboid made from four cubes of edge length 1 cm is

STEP 2

Start the timer

Rapid calculation

2.5 min

.

Each cube is 1 cm³. Fill in the missing numbers.

cubes;

cm3

cubes;

cm3

cubes;

cm3

cubes;

cm3

cubes;

cm3

cubes;

cm3

STEP 3

1.5 min

Start the timer

Challenge

Each cube is 1 cm3. Work out the volume of each shape.

cm3

78

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Time spent:

cm3

min

cm3

sec. Total:

out of 20

cm3

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