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Year 7 - Maths (Term 1, Course bk Ch2-3, Practice bk Ch1-3)

Total questions: 160

Worksheet time: 5hrs 4mins

Name
Class
Date
1.

3, 6, 9, 12, 15... is a __________ of numbers.

a)

sequence

b)

term

c)

consecutive terms

d)

term-to-term rule

e)

ellipsis

2.

Each number in the sequence is called a __________.

a)

sequence

b)

term

c)

consecutive terms

d)

term-to-term rule

e)

ellipsis

3.

In the sequence 3, 6, 9, 12, 15..., the 1st term is __________.

a)

6

b)

3

c)

9

d)

12

e)

15

4.

Terms that follow each other are called __________.

a)

sequences

b)

non-consecutive terms

c)

consecutive terms

d)

term-to-term rule

e)

ellipsis

5.

In the sequence 3, 6, 9, 12, 15..., each term is 3 more than the term before, so the __________ is: 'Add 3.'

a)

sequence

b)

non-consecutive term

c)

consecutive term

d)

term-to-term rule

e)

ellipsis

6.

Three dots written at the end of a sequence show that the sequence continues forever. A sequence that carries on forever is called __________.

a)

an infinite sequence

b)

a finite sequence

c)

a consecutive term

d)

a term-to-term rule

7.

If a sequence doesn't have three dots at the end, then it doesn't continue forever. This type of sequence is called __________.

a)

an infinite sequence

b)

a finite sequence

c)

a consecutive term

d)

a term-to-term rule

8.

What is the term-to-term rule of the following?

2, 6, 10, 14...

a)

Add 4

b)

Add 2

c)

Deduct 4

d)

Deduct 2

9.

What is the next term of the following sequence?

2, 6, 10, 14...

a)

18

b)

17

c)

15

d)

16

e)

19

10.

If the first term of a sequence is 5 and the term-to-term rule of the sequence is: 'Multiply by 2 and then add 1', what are the first 3 terms?

a)

5

b)

11

c)

23

d)

10

e)

15

11.

If the first term of a sequence is 1 and the term-to-term rule of the sequence is: 'Add 5', what are the first 3 terms?

a)

1

b)

6

c)

11

d)

16

e)

17

12.

If the first term of a sequence is 6 and the term-to-term rule of the sequence is: 'Add 8', what are the first 3 terms?

a)

6

b)

14

c)

22

d)

12

e)

18

13.

If the first term of a sequence is 20 and the term-to-term rule of the sequence is: 'Minus 3', what are the first 3 terms?

a)

20

b)

17

c)

14

d)

23

e)

18

14.

If the first term of a sequence is 6 and the term-to-term rule of the sequence is: 'Multiply by 2 and then subtract 3', what are the first 3 terms?

a)

6

b)

9

c)

15

d)

12

e)

24

15.

If the first term of a sequence is 60 and the term-to-term rule of the sequence is: 'Divide by 2 and then add 2', what are the first 3 terms?

a)

60

b)

32

c)

18

d)

30

e)

16

16.

2, 5, __________, 11...

a)

8

b)

6

c)

12

d)

15

e)

7

17.

11, __________, 17, 20

a)

14

b)

6

c)

12

d)

15

e)

7

18.

29, 26, 23, __________

a)

20

b)

17

c)

22

d)

19

e)

15

19.

23, 20, __________, 14, 11

a)

12

b)

17

c)

22

d)

19

e)

15

20.

Which sequences are finite?

a)

4, 6, 8, 10, ...

b)

85, 75, 65, 55, 45, 35

c)

3, 5, 7, 9, 11, 13, 15

d)

100, 97, 94, 91, 88, ...

21.

Which sequences are infinite?

a)

4, 6, 8, 10, ...

b)

85, 75, 65, 55, 45, 35

c)

3, 5, 7, 9, 11, 13, 15

d)

100, 97, 94, 91, 88, ...

22.

Which is the correct term-to-term rule for this sequence?

11, 14, 17, 20, ...

a)

Subtract 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

23.

Which is the correct term-to-term rule for this sequence?

17, 15, 13, 11, ...

a)

Subtract 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

24.

Which is the correct term-to-term rule for this sequence?

3, 6, 12, 24, ...

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

25.

Which is the correct term-to-term rule for this sequence?

80, 40, 20, 10, ...

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

26.

Which is the correct term-to-term rule for this sequence?

1, 6, 31, 156, ...

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

27.

Which is the correct term-to-term rule for this sequence?

64, 36, 22, 15, ...

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by 5 then add 1

d)

Divide by 2 then add 4

e)

Add 3

28.

A function is a relationship between two sets of numbers.

a)

True

b)

False

29.

The numbers that you put into the function machine are called __________.

a)

input

b)

output

c)

mapping diagram

d)

internal

30.

The numbers that you get out of the function machine are called __________.

a)

input

b)

output

c)

mapping diagram

d)

internal

31.
a)

function machine

b)

mapping diagram

c)

pattern number

d)

function diagram

32.

a)

function machine

b)

mapping diagram

c)

pattern number

d)

function diagram

33.

Find the missing input in this function machine.

a)

5

b)

2

c)

6

d)

4

e)

8

34.

Find the missing outputs in this function machine.

a)

5

b)

2

c)

6

d)

4

e)

8

35.

1 maps to __________.

a)

2

b)

6

c)

10

d)

5

e)

1

36.

3 maps to __________.

a)

2

b)

6

c)

10

d)

5

e)

1

37.

5 maps to __________.

a)

2

b)

6

c)

10

d)

5

e)

1

38.

Find the missing input in this function machine.

a)

9

b)

8

c)

6

d)

4

e)

8

39.

Find the missing outputs in this function machine.

a)

5

b)

2

c)

10

d)

4

e)

8

40.

Find the missing input in this function machine.

a)

10

b)

15

c)

6

d)

20

e)

8

41.

Find the missing outputs in this function machine.

a)

5

b)

12

c)

15

d)

20

e)

1

42.

Find the missing input in this function machine.

a)

4

b)

3

c)

6

d)

8

e)

1

43.

Find the missing output in this function machine:

a)

6

b)

0

c)

4

d)

10

e)

15

44.

What is the rule of this function machine?

a)

- 4

b)

+ 4

c)

x 1

d)

x4

45.

What is the rule of this function machine?

a)

x 2

b)

x 1

c)

+ 4

d)

x 3

e)

÷ 2

46.

In algebra, you can use a letter to represent __________ number.

a)

an unknown

b)

a known

c)

a consecutive

d)

a sequence

47.

Which are examples of expressions?

a)

n - 3

b)

x + 4

c)

x - 2

d)

3x

48.

Mathew is x years old. David is 4 years older than Mathew. Adam is 2 years younger than Mathew. Kathryn is 3 times older than Mathew. Ella is half Mathew's age.

Which is the correct expression for David?

a)

x + 4

b)

x - 2

c)

3x

d)

x/2

e)

x

49.

Mathew is x years old. David is 4 years older than Mathew. Adam is 2 years younger than Mathew. Kathryn is 3 times older than Mathew. Ella is half Mathew's age.

Which is the correct expression for Adam?

a)

x + 4

b)

x - 2

c)

3x

d)

x/2

e)

x

50.

Mathew is x years old. David is 4 years older than Mathew. Adam is 2 years younger than Mathew. Kathryn is 3 times older than Mathew. Ella is half Mathew's age.

Which is the correct expression for Kathryn?

a)

x + 4

b)

x - 2

c)

3x

d)

x/2

e)

x

51.

Mathew is x years old. David is 4 years older than Mathew. Adam is 2 years younger than Mathew. Kathryn is 3 times older than Mathew. Ella is half Mathew's age.

Which is the correct expression for Ella?

a)

x + 4

b)

x - 2

c)

3x

d)

x/2

e)

x

52.

Avani has a bag that contains n counters. Which expression shows the total number of counters she has in the bag when she puts in 2 more?

a)

n + 2

b)

2n

c)

n - 2

d)

n/2

53.

Avani has a bag that contains n counters. Which expression shows the total number of counters she has in the bag when she takes out 3?

a)

n + 3

b)

2n

c)

n - 2

d)

n/3

e)

n - 3

54.

David has x DVDs. He buys 6 more.

a)

x + 6

b)

6x

c)

x/6

55.

You must use brackets if you add or subtract before multiplying or dividing.

a)

True

b)

False

56.

A __________ is a mathematical rule that shows the relationship between two quantities.

a)

formula

b)

variable

c)

substitute

57.

Work out the value of the expression a + 3b when a = 2 and b = 4.

a)

14

b)

12

c)

3

d)

4

e)

2

58.

a + 5 when a = 3

a)

8

b)

6

c)

15

d)

2

59.

m - n when m = 100 and n = 25

a)

75

b)

125

c)

4

d)

77

60.

y/4 when y = 32

a)

8

b)

128

c)

28

d)

12

61.

30/c - 2 when c = 6

a)

3

b)

5

c)

36

d)

15

62.

w/2 + v when w = 16 and v = 9

a)

17

b)

8

c)

9

d)

28

63.

V = IR when I = 3 and R = 7

a)

21

b)

10

c)

4

d)

30

64.

Which of the following statements are true?

a)

Each number in a sequence is called a term and terms next to each other are called consecutive terms.

b)

A sequence that continues forever is called an infinite sequence.

c)

A sequence that continues forever is called a finite sequence.

d)

Number sequences can be formed from patterns of shapes.

e)

The numbers that go into a function machine are called the input. The numbers that come out of a function machine are called the external.

65.

Which of the following statements are true?

a)

In algebra, you can use a letter to represent an unknown number.

b)

Equations and expressions contain numbers and letters. Only an equation contains an equals sign.

c)

A sequence that continues forever is called an infinite sequence.

d)

Number sequences can be formed from patterns of shapes.

e)

The numbers that go into a function machine are called the input. The numbers that come out of a function machine are called the output.

66.

A decimal number always has a decimal point.

a)

True

b)

False

67.

12.56 has how many decimal places?

a)

2

b)

4

c)

1

d)

3

68.

A parcel weighs 3.465 kg. What is the value of 3 in the number?

a)

3 units

b)

3 tenths

c)

3 hundredths

d)

3 thousandths

e)

3 tens

69.

A parcel weighs 3.465 kg. What is the value of 4 in the number?

a)

4 units

b)

4 tenths

c)

4 hundredths

d)

4 thousandths

e)

4 tens

70.

A parcel weighs 3.465 kg. What is the value of 6 in the number?

a)

6 units

b)

6 tenths

c)

6 hundredths

d)

6 thousandths

e)

6 tens

71.

A parcel weighs 3.465 kg. What is the value of 5 in the number?

a)

5 units

b)

5 tenths

c)

6 hundredths

d)

5 thousandths

e)

5 tens

72.

Which decimal numbers have 1 decimal place?

a)

32.55

b)

2.156

c)

323.5

d)

4.777

e)

0.9

73.

Which decimal numbers have 3 decimal places?

a)

32.55

b)

2.156

c)

323.5

d)

4.777

e)

0.92

74.

What is the value of 6 in 42.673?

a)

6 hundreds

b)

6 tens

c)

6 units

d)

6 tenths

e)

6 hundredths

75.

What is the value of 7 in 32.07?

a)

7 hundreds

b)

7 tens

c)

7 units

d)

7 tenths

e)

7 hundredths

76.

What is the value of 3 in 136.92?

a)

3 hundreds

b)

3 tens

c)

3 units

d)

3 tenths

e)

3 hundredths

77.

Sham has a parcel that weighs 4 kilograms and 5 hundredths of a kilogram. What is the weight of Sham's parcel as a decimal number?

a)

4.05

b)

4.005

c)

4.50

d)

4.0005

78.

When you multiply a whole number or a decimal number by 10, the number becomes ten times bigger.

a)

True

b)

False

79.

32 ÷ 1000

a)

0.032

b)

32,000

c)

0.0032

d)

0.32

80.

32 ÷ 100

a)

0.032

b)

32,000

c)

0.0032

d)

0.32

81.

47.96 ÷ 10

a)

4.796

b)

0.4796

c)

47.96

d)

479.6

82.

4.6 x 10

a)

46

b)

4.06

c)

460

d)

4.006

83.

0.0389 x 1000

a)

38.9

b)

0.389

c)

0.00389

d)

389

84.

4.22 ÷ 10

a)

0.422

b)

42.2

c)

0.0422

d)

0.00422

85.

45 __________ 10 = 4.5

a)

x

b)

÷

c)

+

d)

-

86.

0.02 __________ 1000 = 20

a)

x

b)

÷

c)

+

d)

-

87.

560 __________ 1000 = 0.56

a)

x

b)

÷

c)

+

d)

-

88.

3.2 __________ 100 = 320

a)

x

b)

÷

c)

+

d)

-

89.

3.8 x __________ = 38

a)

10

b)

100

c)

1000

90.

6.12 x __________ = 6120

a)

10

b)

100

c)

1000

91.

0.8 ÷ __________ = 0.008

a)

10

b)

100

c)

1000

92.

21 ÷ __________ = 0.21

a)

10

b)

100

c)

1000

93.

11 x 10

a)

0.047

b)

8.2

c)

0.04

d)

110

e)

0.3

94.

47 ÷ 1000

a)

0.047

b)

8.2

c)

0.04

d)

110

e)

0.3

95.

In a supermarket, lemons are sold in bags of 10 for $3.50. How much does each lemon cost?

a)

$0.35

b)

$35.00

c)

$0.305

96.

A builder estimates he needs 1600 nails for a job he is doing. The nails are sold in boxes of 100. How many boxes does he need?

a)

16

b)

160

c)

1600

d)

100

97.

Alexi thinks of a number. He multiples his number by 10, and then divides the answer by 100. He then multiplies this answer by 1000 and gets a final answer of 67. What number did Alexi think of first?

a)

0.67

b)

67

c)

0.067

d)

6.7

98.

Which is in the correct order by size (from the smallest to the largest)?

a)

6.45, 8.9, 14.639

b)

8.9, 14.639, 6.45

c)

8.9, 6.45, 14.639

d)

6.45, 14.639, 8.9

99.

Which is in the correct order by size (from the smallest to the largest)?

a)

2.6, 2.816, 2.82

b)

2.82, 2.6, 2.816

c)

2.6, 2.82, 2.816

d)

2.816, 2.82, 2.6

100.

Which is in the correct order by size (from the smallest to the largest)?

a)

0.77, 4.23, 6.8, 7.811

b)

6.8, 4.23, 7.811, 0.77

c)

7.811, 0.77, 4.23, 6.8

d)

6.8, 7.811, 0.77, 4.23

101.

Which is in the correct order by size (from the smallest to the largest)?

a)

4.08, 4.6, 4.66

b)

4.66, 4.08, 4.6

c)

4.6, 4.66, 4.08

d)

4.66, 4.6, 4.08

102.

Which sign is used to show a number is smaller than another number?

a)

<

b)

>

c)

?

d)

x

103.

Which sign is used to show a number is larger than another number?

a)

<

b)

>

c)

?

d)

x

104.

6.03 __________ 6.24

a)

<

b)

>

c)

?

d)

x

105.

9.2 __________ 9.01

a)

<

b)

>

c)

?

d)

x

106.

29.882 __________ 29.88

a)

<

b)

>

c)

?

d)

x

107.

Who is the fourth fastest woman runner?

a)

Kerron Stewart

b)

Marion Jones

c)

Merlene Ottey

d)

Carmelita Jeter

e)

Shelley-Ann Fraser

108.

When you round a number, you get an __________ value.

a)

approximate

b)

exact

c)

invalid

d)

unknown

109.

If the value of the digit is 5 or more, round up.

a)

True

b)

False

110.

If the value of the digit is less than 5, round down.

a)

True

b)

False

111.

To round a decimal number to the nearest whole number, look at the digit in the tenths column.

a)

True

b)

False

112.

To round a decimal number to one decimal number, look at the digit in the hundreds column.

a)

True

b)

False

113.

Round 13.524 to the nearest whole number.

a)

14

b)

12

c)

13

d)

15

114.

Round 13.524 to one decimal place.

a)

13.5

b)

1.3

c)

13.0

d)

135.2

115.

Kylie and Jason are both rounding 23.981 to one decimal place. Kylie gets an answer of 24 and Jason gets an answer of 24.0. Who is correct?

a)

Kylie

b)

Jason

c)

Neither

d)

Both

116.

At the cinema, Priya spends $4.75 on a ticket, $1.75 on sweets and $0.85 on a drink. How much does she spend altogether?

a)

$7.35

b)

$2.65

c)

$8.35

d)

$3.65

117.

At the cinema, Priya spends $4.75 on a ticket, $1.75 on sweets and $0.85 on a drink. Priya pays with a $10 bill. How much change does she receive?

a)

$7.35

b)

$2.65

c)

$8.35

d)

$3.65

118.

Jed is a plumber. He has four lengths of pipe that measure 1.8 m, 3.5 m, 2.45 m and 0.85 m. What is the total length of the four pipes?

a)

8.6 m

b)

10.6 m

c)

8.61 m

d)

9.6 m

119.

Jed is a plumber. He has four lengths of pipe that measure 1.8 m, 3.5 m, 2.45 m and 0.85 m. Jed needs 10 m of pipe altogether. How much more pipe does he need to buy?

a)

1.4 m

b)

1.6 m

c)

2.61 m

d)

8.6 m

120.

Moira went on a diet. She recorded her weight at the start and end of every month. During which month, June or July, did Moira lose more weight?

a)

July

b)

June

121.

Moira went on a diet. She recorded her weight at the start and end of every month. At the start of August, Moira weighed 88.35 kg. During August, she lost 1.82 kg. How much did Moira weigh at the end of August?

a)

86.35

b)

86.53

c)

88.35

d)

81.82

122.

Follow these steps when you multiple a decimal by a single-digit number:

- At first, ignore the decimal point and work out the multiplication.

- Finally, put the decimal point in the answer. There must be the same number of digits after the decimal point in the answer as there were in the question.

a)

True

b)

False

123.

0.2 x 4

a)

0.8

b)

8

c)

0.008

d)

8.8

124.

0.6 x 2

a)

1.2

b)

12

c)

0.12

d)

1.02

125.

Anders and Jake both work out the answer to 0.8 x 5. Anders says: "The answer is 4.0." Jake says, "The answer is 4." Who is correct?

a)

Anders

b)

Jake

c)

Neither

d)

Both

126.

Which of the following is true?

a)

When you divide a decimal number by a single-digit number, use short division.

b)

When you divide a decimal number by a single-digit number, keep the decimal point in the question and write the decimal point in the answer above the decimal point in the question.

127.

Shen sees this sign in a supermarket. What is the cost of one chicken?

a)

$3.65

b)

$18.25

c)

$3.56

d)

$5.36

128.

Maggie pays $9.28 for 8 m of ribbon. What is the cost of the ribbon per metre?

a)

$1.16

b)

$0.16

c)

1.16 m

d)

$11.60

129.

Madai runs in a marathon. The total distance is 26.2 miles. After 1 hour, Madai has run 8.7 miles. How much further has she got to run?

a)

17.5 miles

b)

1.75 miles

c)

175 miles

d)

34.9 miles

130.

There are 1125 portable toilets along the marathon route. They are arranged into 12 toilet blocks. How many toilets should be in each toilet block?

a)

93.75 or 94 toilets in each toilet block.

b)

93.75 or 93 toilets in each toilet block.

c)

93.75 or 90 toilets in each toilet block.

131.

Daha is training for a bicycle race. On Monday, he cycles 16.6 km and on Wednesday, he cycles 24.8 km. What is the total distance he has cycled?

a)

41.4 km

b)

40.4 km

c)

44.1 km

d)

414 km

132.

Daha is training for a bicycle race. On Monday, he cycles 16.6 km and on Wednesday, he cycles 24.8 km. Daha wants to cycle a total of 70 km every week. How much further does he have to cycle this week?

a)

28.6 km

b)

26.8 km

c)

20.8 km

d)

2.86 km

133.

Aamina is an electrician. She charges $28 an hour. It takes Aamina 6.5 hours to do one job. What is the total amount she charges for this job?

a)

$182

b)

$128

c)

$1.82

d)

$120

134.

Aamina is an electrician. She charges $28 an hour. To do one job, she charges a total of $343. How many hours did this job take her?

a)

12.25 hours

b)

1.23 hours

c)

12.52 hours

d)

13 hours

135.

Hannah writes a recipe book. The recipe book uses 36 sheets of paper. She wants to produce 75 copies of the book. There are 500 sheets of paper in one pack. How many packs of paper does she need?

a)

5.4 packs

b)

2700 packs

c)

5.3 packs

d)

4.5 packs

136.

Which of the following statements are true?

a)

A decimal number always has a decimal point.

b)

The digits to the left of the decimal point represent the whole-number part of a decimal number.

c)

The digits to the right of the decimal point represent the fractional part of a decimal number.

d)

It is always a good idea to estimate the answer to a question before you work it out, so that you know whether your answer is realistic or not.

e)

To work out an approximate answer, round all your numbers to the nearest 10, 100, ... before doing the calculation.

137.

Round 4573 to the nearest 10.

a)

4570

b)

4574

c)

4580

d)

4500

138.

Round 4573 to the nearest 100.

a)

4600

b)

4500

c)

4000

d)

4601

139.

Round 4573 to the nearest 1000.

a)

5000

b)

4500

c)

4000

d)

6000

140.

Round 76.189 to the nearest whole number.

a)

76

b)

77

c)

78

d)

70

141.

Round 76.189 to one decimal place.

a)

76.2

b)

76.1

c)

76.18

d)

77

142.

Shona goes for a run four times a week. During one week, she runs 3.6 km, 4.85 km, 10.5 km and 7.45 km. How far did Shona run this week?

a)

26.4 km

b)

26.4 m

c)

24.6 km

d)

25 km

143.

Sion sees this sign in a supermarket. What is the cost of one jar of coffee?

a)

$4.63

b)

$4.36

c)

$4.33

d)

$3.64

144.

Hassan is comparing the temperatures in five cities, on the same day. He recorded them in degrees Celsius. Arrange the temperatures in order, starting with the highest.

a)

5, 3, -1, -4, -5

b)

5, 3, -5, -1, -4

c)

3, 5, -1, -4, -5

d)

5, 3, -5, -4, -1

145.

Anders recorded the temperature in his greenhouse, in degrees Celsius, at five different times on the same day. What time was the lowest temperature?

a)

0900

b)

1100

c)

1300

d)

1600

e)

1900

146.

Anders recorded the temperature in his greenhouse, in degrees Celsius, at five different times on the same day. What time was the highest temperature?

a)

0900

b)

1100

c)

1300

d)

1600

e)

1900

147.

Albert notices that his freezer is getting colder by 4 degrees every minute. The temperature now is 6 degrees C. What will the temperature be in 5 minutes?

a)

26 degrees C

b)

20 degrees C

c)

15 degrees C

d)

34 degrees C

148.

Which of the following are correct?

a)

-2 + 6 = 4

b)

-10 + 3 = -7

c)

-3 + 13 = -10

d)

-6 + 5 + 3 = 2

e)

-5 + 5 = 55

149.

Which of the following are correct?

a)

2 - 6 = -4

b)

-9 - 2 = -7

c)

5 - 12 = -7

d)

-3 - 6 - 6 = -15

e)

-6 - 3 = 9

150.

Which number is a multiple of 8?

a)

32

b)

20

c)

26

d)

38

e)

44

151.

Which number is a multiple of 10?

a)

32

b)

20

c)

26

d)

38

e)

44

152.

Which number is a multiple of 11?

a)

32

b)

20

c)

26

d)

38

e)

44

153.

Which number is a multiple of 13?

a)

32

b)

20

c)

26

d)

38

e)

44

154.

Which numbers have 3 as a factor?

a)

3

b)

6

c)

16

d)

26

e)

36

155.

52

a)

25

b)

10

c)

7

d)

3

156.

92

a)

81

b)

18

c)

11

d)

7

157.

112

a)

121

b)

22

c)

9

d)

13

158.

182

a)

324

b)

423

c)

32.4

d)

36

159.

 9\sqrt{9}  

a)

3

b)

6

c)

8

d)

18

160.

 36\sqrt{36}  

a)

6

b)

5

c)

4

d)

3

e)

9

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