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Higher Maths Stars Order Ruby Emerald Amethyst Sapphire Opal Diamond Plutonium

Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

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Page 1: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Higher Maths Stars

Order

Ruby

Emerald

Amethyst

Sapphire

Opal

Diamond

Plutonium

Page 2: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Ruby Star 15 minutes

Name _______________

1 (9 x 3) + 6 28 6/7 of 35

2 (8 x 4) + 8 29 4/7 of 28

3 (6 – 4) x 9 30 2/3 of 27

4 8 + (7 x 8) 31 2/9 of 18

5 23 – (3 x 6) 32 2/5 of 25

6 (7 x 7) – (4 x 3) 33 4/9 of 36

7 82 – (7 x 6) 34 4/11 of 44

8 34 – (5 x 3) 35 852 ÷ 6

9 (4 x 9) + 52 36 1974 ÷ 6

10 (3 x 8) - ? = 14 37 3808 ÷ 8

11 (9 x 6) - 13 38 2133 ÷ 9

12 (8 x 4) + (3 x 6) 39 3822 ÷ 7

13 4 - 7 40 14 x 5

14 9 - ? = - 12 41 16 x 6

15 5 - 11 42 17 x 4

16 14 – 30 43 12 x 6

17 1 ½ - 2 ½ 44 19 x 7

18 9 – 12.5 45 13 x 6

19 3 - 19 46 24 x 5

20 5 – 3 - 4 47 16 x 8

21 13 - ? = -18 48 26 x 3

22 -5 + 12 = 49 43 x 4

23 -3 +22 = 50 64 x 5

24 -4 + ? = 16

25 2/7 of 21

26 3/5 of 15

27 ¾ of 16

Page 3: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Ruby Star 15 minutes

Key skills

Calculations that use brackets

Adding and subtracting using negative numbers

Calculating fractions of numbers

Multiplying numbers greater than 10

Dividing large numbers by numbers less than 10

(Revised 3/2018)

Page 4: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Ruby Star 15 minutes (answers)

Name _______________

1 (9 x 3) + 6 33 28 6/7 of 35 30

2 (8 x 4) + 8 40 29 4/7 of 28 16

3 (6 – 4) x 9 18 30 2/3 of 27 18

4 8 + (7 x 8) 64 31 2/9 of 18 4

5 23 – (3 x 6) 5 32 2/5 of 25 10

6 (7 x 7) – (4 x 3) 37 33 4/9 of 36 16

7 82 – (7 x 6) 40 34 4/11 of 44 16

8 34 – (5 x 3) 19 35 852 ÷ 6 142

9 (4 x 9) + 52 88 36 1974 ÷ 6 329

10 (3 x 8) - ? = 14 10 37 3808 ÷ 8 476

11 (9 x 6) - 13 41 38 2133 ÷ 9 237

12 (8 x 4) + (3 x 6) 50 39 3822 ÷ 7 546

13 4 - 7 -3 40 14 x 5 70

14 9 - ? = - 12 21 41 16 x 6 96

15 5 - 11 -6 42 17 x 4 68

16 14 – 30 -16 43 12 x 6 72

17 1 ½ - 2 ½ -1 44 19 x 7 133

18 9 – 12.5 -3.5 45 13 x 6 78

19 3 - 19 -16 46 24 x 5 120

20 5 – 3 - 4 -2 47 16 x 8 128

21 13 - ? = -18 31 48 26 x 3 78

22 -5 + 12 = 7 49 43 x 4 172

23 -3 +22 = 19 50 64 x 5 320

24 -4 + ? = 16 20

25 2/7 of 21 4

26 3/5 of 15 9

27 ¾ of 16 12

Page 5: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Emerald Star 20 minutes Name ____________ 1 The range of

65, 37, 84

28 9/7 of 35

2 The range of

26, 3, 19, 25

29 8/7 of 28

3 The range of

69, 25, 41, 28

30 5/3 of 27

4 The range of

7, 6, -8, 12

31 8/5 of 15

5 The mean of

32, 12, 25

32 Split 25 in the ratio

2:3

6 The mean of

53, 14, 29

33 Split 49 in the ratio

3:4

7 The mean of

12, 7, 17

34 Split 72 in the ratio

5:7

8 The mean of

45, 7, 32

35 Split 81 in the ratio

7:2

9 The mode of

2,1,3,5,6,4,1

36 Split 64 in the ratio

5:3

10 The mode of

0,3,5,1,5,1,3,3

37 82 - 32

11 62 38 52 - 22

12 92 39 62 - √81

13 112 40 152 - √64

14 √144 41 122 - √49

15 √64 42 92 - √121

16 √16 43 33

17 √1 44 What are the

factors of 25?

18 √400 45 What are the

factors of 19?

19 The median of

12,15, 18,21,24

46 What are the

factors of 64?

20 The median of

6,4,9,7,8

47 What are the

factors of 24?

21 The median of

2,29,31,17,4

48 What are the

factors of 54?

22 The median of

45,55,35,25,65,15

49 What are the

factors of 36?

23 20% of 30 50 What are the

factors of 68?

24 60% of 80

25 40% of 25

26 45% of 50

27 80% of 70

Page 6: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Emerald Star 20 minutes

Key skills

Mean, Mode, Range, Median

Squares and square roots

Percentages of whole numbers

Ratio

Factors

Page 7: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Emerald Star 20 minutes Answers 1 The range of

65, 37, 84

47 28 9/7 of 35 45

2 The range of

26, 3, 19, 25

23 29 8/7 of 28 32

3 The range of

69, 25, 41, 28

44 30 5/3 of 27 45

4 The range of

7, 6, -8, 12

20 31 8/5 of 15 24

5 The mean of

32, 12, 25

23 32 Split 25 in the ratio

2:3

10:15

6 The mean of

53, 14, 29

32 33 Split 49 in the ratio

3:4

21:28

7 The mean of

12, 7, 17

12 34 Split 72 in the ratio

5:7

30:42

8 The mean of

45, 7, 32

28 35 Split 81 in the ratio

7:2

63:18

9 The mode of

2,1,3,5,6,4,1

1 36 Split 64 in the ratio

5:3

40:24

10 The mode of

0,3,5,1,5,1,3,3

3 37 82 - 32 15

11 62 36 38 52 - 22 21

12 92 81 39 62 - √81 27

13 112 121 40 152 - √64 217

14 √144 12 41 122 - √49 137

15 √64 8 42 92 - √121 70

16 √16 4 43 33 27

17 √1 1 44 What are the

factors of 25?

1, 5, 25

18 √400 20 45 What are the

factors of 19?

1,19

19 The median of

12,15, 18,21,24

18 46 What are the

factors of 64?

1,2,4,8,16,

32,64

20 The median of

6,4,9,7,8

7 47 What are the

factors of 24?

1,2,3,4,6

8,12,24

21 The median of

2,29,31,17,4

17 48 What are the

factors of 54?

1,2,3,6,9,

18,27,54

22 The median of

45,55,35,25,65,15

40 49 What are the

factors of 36?

1,2,3,4,6,9,

12,18,36

23 20% of 30 6 50 What are the

factors of 68?

1,2,4,17,34,

68

24 60% of 80 48

25 40% of 25 10

26 45% of 50 22.5

27 80% of 70 56

Page 8: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Amethyst Star 20 minutes Name ____________ 1 30% of 90 24 4/13 of 52

2 70% of 80 25 8/14 of 42

3 15% of 60 26 2/15 of 75

4 45% of 120 27 6/16 of 64

5 35% of 40 28 Split 81 in the ratio 5:4

6 24% of 200 29 Split 84 in the ratio 3:4

7 53% of 300 20 Split 96 in the ratio 5:3

8 62% of 500 31 Split 132 in the ratio 5:7

9 √144 + 19 32 Split 184 in the ratio 1:7

10 33 + 42 33 13 x 14

11 105 - 43 34 41 x 16

12 √121 x 15 35 19 x 15

13 53 - 35 36 13 x 16

14 √169 x 7 37 252 ÷ 12

15 √81 x 8 38 396 ÷ 18

16 0.3 x 16 39 552 ÷ 23

17 0.7 x 14 40 I think of a number. I multiply it

by 9, add 7 and halve it. My

answer is 26, what is my number?

18 32 x 0.06 41 I think of a number. I divide it by

3, add 3 and multiply it by 8. The

answer is 80, what is my number?

19 0.9 x 21 42 I think of a number. I double it,

multiply it by 7 and then take off

45. The answer is 11. What is my

number?

20 23 x 0.8 43 I have a length of ribbon that is

126 cm long. I cut it so that one

piece is 14 cm longer than the

short one. How long is the short

piece?

21 What is the volume of

a cuboid

3cm x 6cm x 8cm?

44 I have a piece of string that is

242 cm long. I cut it so that one

piece is 30 cm longer than the

short one. How long is the short

piece?

22 What is the volume of

a cuboid

4cm x 7cm x 6cm?

45 I cut a piece of ribbon into 3

strips. One is 26 cm long, one is

7cm shorter and one is the same

length as the other 2 added

together. How long is the longest

ribbon?

23 What is the volume of

a cuboid

9cm x 6cm x 11cm?

Page 9: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Amethyst Star 20 minutes

Key skills

Squares and square roots

Percentages of whole numbers

Ratio

Volume

Multiplication by numbers between 10 – 20

Reasoning

Page 10: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Amethyst Star 20 minutes Answers 1 30% of 90 27 24 4/13 of 52 16

2 70% of 80 56 25 8/14 of 42 24

3 15% of 60 9 26 2/15 of 75 10

4 45% of 120 54 27 6/16 of 64 24

5 35% of 40 14 28 Split 81 in the ratio 5:4 45:36

6 24% of 200 48 29 Split 84 in the ratio 3:4 36:48

7 53% of 300 159 20 Split 96 in the ratio 5:3 60:36

8 62% of 500 310 31 Split 132 in the ratio 5:7 55:77

9 √144 + 19 31 32 Split 184 in the ratio 1:7 23:161

10 33 + 42 69 33 13 x 14 192

11 105 - 43 41 34 41 x 16 656

12 √121 x 15 165 35 19 x 15 285

13 53 - 35 90 36 13 x 16 208

14 √169 x 7 91 37 252 ÷ 12 21

15 √81 x 8 72 38 396 ÷ 18 22

16 0.3 x 16 4.8 39 552 ÷ 23 24

17 0.7 x 14 9.8 40 I think of a number. I multiply it

by 9, add 7 and halve it. My

answer is 26, what is my number?

5

18 32 x 0.06 1.92 41 I think of a number. I divide it

by 3, add 3 and multiply it by 8.

The answer is 80, what is my

number?

21

19 0.9 x 21 18.9 42 I think of a number. I double it,

multiply it by 7 and then take off

45. The answer is 11. What is my

number?

4

20 23 x 0.8 18.4 43 I have a length of ribbon that is

126 cm long. I cut it so that one

piece is 14 cm longer than the

short one. How long is the short

piece?

56cm

21 What is the volume

of a cuboid

3cm x 6cm x 8cm?

144cm3 44 I have a piece of string that is

242 cm long. I cut it so that one

piece is 30 cm longer than the

short one. How long is the short

piece?

106cm

22 What is the volume

of a cuboid

4cm x 7cm x 6cm?

168cm3 45 I cut a piece of ribbon into 3

strips. One is 26 cm long, one is

7cm shorter and one is the same

length as the other 2 added

together. How long is the longest

ribbon?

45cm

23 What is the volume

of a cuboid

9cm x 6cm x 11cm?

594cm3

Page 11: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Sapphire Star 20 minutes Name ____________ 1 43 - 72 24 23 x 13

2 53 + 17 25 43 x 15

3 152 + 16 26 92 x 12

4 21 + √361 27 46 x 16

5 142 - 32 28 253 x 18

6 122 + 132 29 Split 42 in the ratio

2:4:1

7 182 - 24 30 Split 81 in the ratio

3:5:1

8 √169 + 28 31 Split 132 in the ratio

4:5:2

9 √289 + 39 32 Split 324 in the ratio

4:3:2

10 6/7 + 3/5 33 Split 152 in the ratio

6:1:1

11 4/5 + 7/9 34 What are the common

factors of 42 and 18?

12 2/9 + 3/8 35 What are the common

factors of 80 and 32?

13 5/12 + 5/14 36 What are the common

factors of 54 and 21?

14 1/7 + 7/12 37 What are the common

factors of 132 and 44?

15 6/19 + 2/15 38 What are the common

factors of 31 and 124?

16 35% of 240 39 What is halfway

between 113 and 77?

17 45% of 320 40 What is halfway

between 125 and 63?

18 65% of 260 41 What is halfway

between 163 and 59?

19 42% of 250 42 What is halfway

between 109 and 38?

20 85% of 150 43 What is halfway

between 153 and 48?

21 32% of 300 44 What is halfway

between 918 and 286?

22 44% of 450 45 What is halfway

between 515 and 377?

23 26% of 150

Page 12: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Sapphire Star 20 minutes

Key skills

Squares and square roots of numbers up to 20

Finding the common denominator of fractions

Percentages of whole numbers

Ratio

Common factors

Finding half the difference between numbers

Page 13: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Sapphire Star 20 minutes Answers 1 43 - 72 15 24 23 x 13 299

2 53 + 17 142 25 43 x 15 645

3 152 + 16 241 26 92 x 12 1104

4 21 + √361 40 27 46 x 16 736

5 142 - 32 164 28 253 x 18 4554

6 122 + 132 313 29 Split 42 in the ratio

2:4:1

12:24:

6

7 182 - 24 300 30 Split 81 in the ratio

3:5:1

27:45:9

8 √169 + 28 41 31 Split 132 in the ratio

4:5:2

48:60:

24

9 √289 + 39 56 32 Split 324 in the ratio

4:3:2

144:108:

72

10 6/7 + 3/5 51/35 33 Split 152 in the ratio

6:1:1

114:19:

19

11 4/5 + 7/9 71/45 34 What are the common

factors of 42 and 18?

1,2,3,6

12 2/9 + 3/8 43/72 35 What are the common

factors of 80 and 32?

1,2,4,8,

16

13 5/12 + 5/14 130/168 36 What are the common

factors of 54 and 21?

1,3

14 1/7 + 7/12 61/84 37 What are the common

factors of 132 and 44? 1,2,4,11,

44

15 6/19 + 2/15 128/285 38 What are the common

factors of 31 and

124?

1,31

16 35% of 240 84 39 What is halfway

between 113 and 77?

95

17 45% of 320 144 40 What is halfway

between 125 and 63?

94

18 65% of 260 169 41 What is halfway

between 163 and 59?

111

19 42% of 250 105 42 What is halfway

between 109 and 38?

73.5

20 85% of 150 127.5 43 What is halfway

between 153 and 48?

100.5

21 32% of 300 96 44 What is halfway

between 918 and 286?

602

22 44% of 450 198 45 What is halfway

between 515 and 377?

446

23 26% of 150 39

Page 14: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Opal Star 20 minutes Name ____________

1 962 - 365 16 0.5 x 0.08

2 428 - 130 17 0.7 x 0.8

3 857 - 568 18 0.09 x 0.4

4 2137 - 1140 19 1.5 x 0.06

5 9006 - 896 20 0.5 x 0.018

6 564 + 378 21 -7 x 62

7 265 + 438 22 36 x -6

8 706 + 239 23 15 x -12

9 658 + 897 24 -24 x -16

10 769 + 389 25 -41 x -66

11 21.06 + 0.056 26 -702 ÷ 13

12 31.9 + 274.56 27 -624 ÷ 16

13 1.838 – 0.0028 28 -1548 ÷ -18

14 510.6 – 235. 8 29 1292 ÷ -17

15 11.92 – 5.8 30 -1786 ÷ -19

Start

with

21

2/7 of

this

x 7 ÷3 +107 Square

root

of

-15 x 2 + 47 Your

answer

Start

with

14

Times

by

itself

-98 ÷2 x 5 -65 ÷100 +4.2 x15 Your

answer

Start

with

7.5

Multiply

by 8

30%

of

Multiplied

by itself

- 60 Divide

by 3

5/11

of

-9 x24 Your

answer

Page 15: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Now solve this Futoshiki problem.

Every row and every column has to have the numbers 1, 2, 3 and 4.

Some numbers have been put in for you. Also you have some clues

from the > and < signs.

> 2

v

< <

1 >

3

Finally this Sudoku problem. Every row and every column has to have

the numbers 1 – 6. Also every block of 6 numbers has to have the

numbers 1 – 6.

2 1

4 6

4 1

3 2

5 3 1 4

6 4 5

Key skills

Adding and subtracting large numbers mentally

Adding and subtracting decimals

Multiplying decimals

Multiplying and dividing using negative numbers

Mathematical reasoning (Revised 7/2018)

Page 16: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Opal Star 20 minutes Answers

1 962 - 365 597 16 0.5 x 0.08 0.04

2 428 - 130 298 17 0.7 x 0.8 0.56

3 857 - 568 289 18 0.09 x 0.4 0.036

4 2137 - 1140 997 19 1.5 x 0.06 0.090

5 9006 - 896 8110 20 0.5 x 0.018 0.0090

6 564 + 378 942 21 -7 x 62 -434

7 265 + 438 703 22 36 x -6 -216

8 706 + 239 945 23 15 x -12 -180

9 658 + 897 1555 24 -24 x -16 384

10 769 + 389 1158 25 -41 x -66 2706

11 21.06 + 0.056 21.116 26 -702 ÷ 13 -54

12 31.9 + 274.56 306.46 27 -624 ÷ 16 -39

13 1.838 –

0.0028

1.8352 28 -1548 ÷ -18 86

14 510.6 – 235. 8 274.8 29 1292 ÷ -17 -76

15 11.92 – 5.8 6.12 30 -1786 ÷ -19 94

Start

with

21

2/7 of

this

6

x 7

42

÷3

14

+107

121

Square

root

of

11

-15

-4

x 2

-8

+ 47

39

Your

answer

39

Start

with

14

Times

by

itself

196

-98

98

÷2

49

x 5

245

-65

180

÷100

1.8

+4.2

6

x15

90

Your

answer

90

Start

with

7.5

Multiply

by 8

60

30%

of

18

Multiplied

by itself

324

- 60

264

Divide

by 3

88

5/11

of

40

-9

31

x11

341

Your

answer

341

Page 17: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Now solve this Futoshiki problem.

Every row and every column has to have the numbers 1, 2, 3 and 4.

Some numbers have been put in for you. Also you have some clues

from the > and < signs.

4 > 3 1 2

v

1 < 2 3 < 4

2 1 4 > 3

3 4 2 1

Finally this Sudoku problem. Every row and every column has to have

the numbers 1 – 6. Also every block of 6 numbers has to have the

numbers 1 – 6.

3 2 6 5 4 1

4 5 1 6 3 2

2 4 5 3 1 6

1 6 3 4 2 5

5 3 2 1 6 4

6 1 4 2 5 3

Key skills

Adding and subtracting large numbers mentally

Adding and subtracting decimals

Multiplying decimals

Multiplying and dividing using negative numbers

Mathematical reasoning

Page 18: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Diamond Star 20 minutes Name ____________

Multiplication of two and three digit numbers

Percentages of numbers

Multiplying and dividing fractions

Squares and square roots

Dividing large numbers by numbers less than 20

Mathematical reasoning

1 36 x 8 17 35% of 80

2 87 x 9 18 45% of 120

3 523 x 6 19 32% of 550

4 616 x 7 20 62% of 350

5 5107 x 6 The next 4 have decimal answers

6 23 x 18 21 73% of 230

7 36 x 32 22 24% of 610

8 67 x 29 23 57% of 740

9 327 x 36 24 83% of 920

10 417 x 59 25 3/5 x 7/9

11 322 ÷ 14 26 6/11 ÷ 8/7

12 916 ÷ 16 27 7/9 ÷ 5/7

13 1332 ÷ 18 28 11/14 x 17/19

14 1254 ÷ 19 29 16/9 ÷ 4/3

15 799 ÷ 17 30 15/17 x 6/11

16 1692 ÷ 18

Start

with

35

3/7

of

this

Times

by

itself

÷25 +174 2/3

of

+74 Square

root of

-

3.5

X3 -

19.3

Your

answer

Start

with

31

-40 Times

by

itself

-17 3/8

of

X8 +97 Square

root of

X 5 +

47

÷ 11 Your

answer

Page 19: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Solve these Sujiko puzzles. You need to arrange the

numbers 1 – 9 in the boxes so that the 4 numbers

surrounding each circle add to make the number in

the circle.

(Revised 3/2018)

Page 20: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Diamond Star 20 minutes Answers

Mental multiplication of two and three digit numbers

Percentages of numbers

Multiplying and dividing fractions

Squares and square roots

Mathematical reasoning

1 36 x 8 288 17 35% of 80 28

2 38 x 7 266 18 45% of 120 54

3 53 x 6 318 19 32% of 550 176

4 87 x 9 783 20 62% of 350 217

5 76 x 4 304 The next 4 have decimal

answers

6 523 x 6 3138 21 73% of 230 167.9

7 616 x 7 4312 22 24% of 610 146.4

8 3024 x 8 24192 23 57% of 740 421.8

9 5107 x 6 30642 24 83% of 920 763.6

10 23 x 18 414 25 3/5 x 7/9 21/45

11 36 x 32 1152 26 6/11 ÷ 8/7 42/88 or

21/44

14 24 x 35 840 27 7/9 ÷ 5/7 49/45

15 67 x 29 1943 28 11/14 x 17/19 187/266

16 327 x 36 11772 29 16/9 ÷ 4/3 48/36 or

4/3

30 15/17 x 6/11 90/187

Start

with

35

3/7

of

this

15

Times

by

itself

225

÷25

9

+174

183

2/3

of

122

+74

196

Square

root of

14

-3.5

10.5

X3

31.5

-

19.3

12.2

Your

answer

12.2

Start

with

31

-40

-9

Times

by

itself

81

-17

64

3/8

of

24

X8

192

+97

289

Square

root of

17

X 5

85

+47

132

÷ 11

12

Your

answer

12

Page 21: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Solve these Sujiko puzzles. You need to arrange the

numbers 1 – 9 in the boxes so that the 4 numbers

surrounding each circle add to make the number in

the circle.

Page 22: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Plutonium Star 20 minutes Name ____________

Division by numbers up to 99.

The squares and square roots of numbers up to 30.

Algebra

Mathematical reasoning

If a = 3, b = 5, c = 8 ,

d = 11, what are

16 7686 ÷ 61

1 ab - c 17 9860 ÷ 68

2 c2 - b 18 0.83 x 0.07

3 a(b + c) 19 1.004 x 0.03

4 (c + b)(d – a) 20 21.3 x 0.041

5 bc(c + d) 21 1.78 x 0.92

6 a/(b+c) ÷ b/(d+b) 22 0.056 x 1.08

7 (ab)2 - db 23 15.12 ÷ 0.56

8 222 - 67 24 1.476 ÷ 0.36

9 √841 - 42 25 19.61 ÷ 0.53

10 √576 - √196

11 212 + √676

12 2322 ÷ 43

13 2898 ÷ 46

14 2912 ÷ 91

15 3984 ÷ 83

Start

with

85

3/5 of

this

Times

by

itself

-

801

2/9

of

this

Square

root of

-

14.6

X 3.7 Add

together

the digits

Square

root of

X

524

Your

answer

Start

with

729

Square

root of

x 35

-17

3/8

of

2/3 of

+393

Square

root of

X 5

+ 51

÷ 11

Your

answer

Page 23: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

You have to put the numbers 1 – 9 in the right squares to

make the answers vertically and horizontally.

x + 38

- - x

1 - x -21

x - x

+ x 7 77

48 -9 42

4 ÷ x 20

- - +

x + 58

+ ÷ x

9 - ÷ 1

5 -2 42

Page 24: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

Plutonium Star 20 minutes Answers

Division by numbers up to 99.

The squares and square roots of numbers up to 30.

Algebra

Mathematical reasoning

If a = 3, b = 5, c = 8 ,

d = 11, what are

16 7686 ÷ 61 126

1 ab - c 7 17 9860 ÷ 68 145

2 c2 - b 59 18 0.83 x 0.07 0.0581

3 a(b + c) 39 19 1.004 x 0.03 0.03012

4 (c + b)(d – a) 104 20 21.3 x 0.041 0.8733

5 bc(c + d) 760 21 1.78 x 0.92 1.6376

6 a/(b+c) ÷ b/(d+b) 48/65 22 0.056 x 1.08 0.06048

7 (ab)2 - db 170 23 15.12 ÷ 0.56 27

8 222 - 67 417 24 1.476 ÷ 0.36 4.1

9 √841 - 42 13 25 19.61 ÷ 0.53 37

10 √576 - √196 10

11 212 + √676 467

12 2322 ÷ 43 54

13 2898 ÷ 46 63

14 2912 ÷ 91 32

15 3984 ÷ 83 48

Start

with

85

3/5 of

this

51

Times

by

itself

2601

-

801

1800

2/9

of

this

400

Square

root of

20

-

14.6

5.4

X 3.7

19.98

Add

together

the

digits

27

Cube

root

of

3

X 524

1572

Your

answer

1572

Start

with

729

Square

root of

27

x 35

945

-17

928

3/8

of

348

2/3 of

232

+393

625

Square

root of

25

X 5

125

+ 51

176

÷ 11

16

Your

answer

16

Page 25: Higher Maths Stars Order Ruby Opal Plutonium · 2020-05-07 · piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of a cuboid 3cm x 6cm x

You have to put the numbers 1 – 9 in the right squares to

make the answers vertically and horizontally.

9 x 4 + 2 38

- - x

1 - 8 x 3 -21

x - x

6 + 5 x 7 77

48 -9 42

4 ÷ 1 x 5 20

- - +

8 x 7 + 2 58

+ ÷ x

9 - 3 ÷ 6 1

5 -2 42