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Math test 1

Total questions: 166

Worksheet time: 4hrs 9mins

Name
Class
Date
1.

Choose the set of natural numbers

a)

{1,2,3,4,5,6...}

b)

{2,4,6,8..}

c)

{1,3,5,7...}

d)

{...-3,-2,-1,0,1,2,3...}

2.

Which set below is example for odd numbers ?

a)

{1,2,3,4,5...}

b)

{1,3,5,7,9...}

c)

{2,4,6,8...}

d)

{0,1,2,3,4,5..}

3.

Which set below is example for even numbers?

a)

{1,2,3,4,5...}

b)

{1,3,5,7,9...}

c)

{2,4,6,8,10...}

d)

{2,3,5,7,11,13...}

4.

Which set below is example for prime numbers?

a)

{1,2,3,4,5...}

b)

{2,4,6,8,10...}

c)

{1,3,5,7,9,11..}

d)

{2,3,5,7,11..}

5.

Choose the set of square numbers below ?

a)

{1,2,3,4..}

b)

{0,1,4,6,9}

c)

{1,4,9,16,25..}

d)

none of them

6.
The initial temperature of a solution was 16oC. The temperature dropped 3oC every minute. What was the temperature of the water after 15 minutes in oC?
a)
-28
b)
-29
c)
-30
7.
A fish is 6 m below sea level initially. It does down another 5 m below before it rises 9 m. Find its final position.
a)
2 m di bawah aras air
b)
2 m di atas aras air
c)
3 m di bawah aras air
8.

7 + (+2)7\ +\ \left(+2\right)  =

a)

-5

b)

-9

c)

5

d)

9

9.

6 +(15) =-6\ +\left(-15\right)\ =  

a)

-21

b)

-9

c)

9

d)

11

10.

5 + 1 =-5\ +\ 1\ =  

a)

-6

b)

-4

c)

4

d)

6

11.

18 17 =-18\ -17\ =  

a)

-35

b)

-25

c)

-1

d)

1

12.

7 2 (9) =7\ -2\ -\left(-9\right)\ =  

a)

-14

b)

-12

c)

-4

d)

14

13.

9 +(7) + 13 =9\ +\left(-7\right)\ +\ 13\ =  

a)

-15

b)

11

c)

15

d)

29

14.

A thermometer which initially reads -70 C, the temperature dropped by 100 C during the night, what will be the new thermometer reading.

a)

-170 C

b)

-30 C

c)

30 C

d)

170 C

15.

A submarine is 25 metres below sea level. the distance from the top of the hill to sea level is 60 metres. How far is the submarine below the hill top?

a)

-35 m

b)

-85 m

c)

35 m

d)

85 m

16.

(-12) + (-7) =

a)

-5

b)

5

c)

-19

d)

19

17.

(-6) + 6 =

a)

-12

b)

12

c)

0

d)

-36

18.

(-6) + (-4) + 5 =

a)

5

b)

-7

c)

-5

d)

-15

19.

(-8) + (-3) + 15 =

a)

4

b)

-4

c)

-5

d)

-26

20.

(-8) - (-10) =

a)

2

b)

-2

c)

-18

d)

18

21.

(28) - (-7) =

a)

21

b)

-21

c)

-35

d)

35

22.

−2.65, +5.08, −0.4, −1.48, +1.67, +3.99

The smallest number in this list is:

a)

+5.08

b)

+1.67

c)

−2.65

d)

−0.4

23.

+5.2,+2.6,−4.9,−2.5,−0.56,+7.5

The smallest number in this list is:

a)

−0.56

b)

+2.6

c)

−4.9

d)

+7.5

24.

Which of the following number statements is true?

a)

−5 1/2 > −2.0

b)

0.15 < −1.5

c)

−5.3 > 7.6

d)

−2.01 < −1.02

25.

Which of the following number statements is true?

a)

−0.9 > 0.1

b)

−1.2 > 2.1

c)

4.2 > −6.8

d)

−2.5 < −6.55

26.

Which of the following lists of numbers is in ascending order?

a)

−2.3, −5.43, −16.45, 0.3, 2.89, 7.41

b)

6.50, 2.6, 0.42, −4.06, −7.5, −11.2

c)

−20.3, −5.07, 0.3, 1.6, 8.55, 12.11

d)

1.37, 4.65, 7.27, −8.48, 14.94, −15.06

27.

Which of the following lists of numbers is in descending order?

a)

−11, 9.3, −5.6, 3.8, −2.9, 1.2

b)

−12, −5.62, −1.64, 0.5, 1.23, 11.5

c)

−7.81, −2.35, −1.24, 15.1, 2.7, 0.8

d)

5.5, 1.4, 0.08, −1.5, −5, −6.95

28.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

29.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

30.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

31.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

32.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

33.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

34.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

35.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

36.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

37.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

38.

What does LCM stand for

a)

lowest common number

b)

lowest core number

c)

lowest core multiple

d)

lowest common multiple

39.

Wha does HCF stand for?

a)

Highest common factor

b)

Highest core frequency

c)

Highest common frequency

d)

Highest core factor

40.

What are all the FACTORS of 24?

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

41.

List the first four multiples of 8.

a)

1, 2, 4, 8

b)

8, 16, 24, 32

c)

16, 24, 32, 40

d)

2, 4, 6, 8, 10

42.

What is 720 as a product of its prime factors?

a)

24 x 32 x 5

b)

16 x 33 x 5

c)

23 x 42 x 3

d)

26 x 7

43.

Which number has a factor of 16?

a)

258

b)

112

c)

596

d)

452

44.

Find the HCF of 32 and 80.

a)

8

b)

16

c)

24

d)

32

45.

What is the greatest common factor of 24 and 36?

a)

2

b)

3

c)

12

d)

24

46.

There are two positive integers, a and b. Given that their HCF is 15. Which of the followings cannot be their LCM?

a)

105

b)

225

c)

125

d)

195

47.

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

a)

2, 5, 7

b)

two, itself, 1

c)

2, 15, 2

d)

2, 8.5, 2

48.

A number is expressed as

23 x 33 x 5.

What is the number?

a)

11

b)

72

c)

270

d)

1080

49.

Find the LCM of 120 and 150.

a)

300

b)

360

c)

450

d)

600

50.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

51.

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

a)

8

b)

16

c)

24

d)

48

52.

2) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

a)

120 students

b)

60 students

c)

30 students

53.

Four bells ring after 9,12 and 15 minutes respectively.If they ring together at 3pm together, when will they ring together again?

a)

4pm

b)

5pm

c)

6pm

d)

7pm

54.

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

a)

4 minutes

b)

8 minutes

c)

12 minutes

d)

24 minutes

55.


If N=2×102If\ N=2\times10^2  Find the smallest positive integer number M, such that MN is a Cube number

a)

4

b)

40

c)

5

d)

10

56.


  

If N=4×105If\ N=4\times10^5  Find the smallest positive integer number M, such that MN is a Square number

a)

2

b)

10

c)

3

d)

5

57.

The HCF of 168 and N is 42,

Given that 200< N >300, Find two possible values of N

a)

210 , 294

b)

210,252

c)

220,290

d)

Non of the above

58.

The following number has been rounded to 1 significant figure.


800


Find the upper bound...

a)

850

b)

750

c)

849

d)

749

59.

The following number has been rounded to 1 significant figure.


800


Find the lower bound...

a)

850

b)

750

c)

849

d)

749

60.

The following number has been rounded to 1 significant figure.


8000


Find the upper bound...

a)

8500

b)

7500

c)

8490

d)

7490

61.

The following number has been rounded to 1 significant figure.


8000


Find the lower bound...

a)

8500

b)

7500

c)

8490

d)

7490

62.

The following number has been rounded to 1 significant figure.


0.8


Find the upper bound...

a)

0.85

b)

0.75

c)

0.849

d)

0.749

63.

The following number has been rounded to 1 significant figure.


0.8


Find the lower bound...

a)

0.85

b)

0.75

c)

0.849

d)

0.749

64.

The following number has been rounded to 1 significant figure.


0.08


Find the upper bound...

a)

0.085

b)

0.075

c)

0.0849

d)

0.0749

65.

The following number has been rounded to 1 significant figure.


0.08


Find the lower bound...

a)

0.085

b)

0.075

c)

0.0849

d)

0.0749

66.

The following number has been rounded to the nearest metre.


200m


Find the upper bound...

a)

200.5m

b)

205m

c)

250m

d)

204.5m

67.

The following number has been rounded to the nearest 10 metres.


200m


Find the upper bound...

a)

200.5m

b)

205m

c)

250m

d)

204.5m

68.

The following number has been rounded to the nearest 10 metres.


370m


Find the upper bound...

a)

375m

b)

370.5m

c)

370.05m

d)

375.5m

69.

The following number has been rounded to the nearest metre.


370m


Find the upper bound...

a)

375m

b)

370.5m

c)

370.05m

d)

375.5m

70.

The following number has been rounded to the nearest metre.


125m


Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

71.

The following number has been rounded to the nearest 5 metres.


125m


Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

72.

The following number has been rounded to the nearest 5 metres.


125m


Find the lower bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

124.5m

73.

The following number has been rounded to the nearest 5 metres.


300m


Find the upper bound...

a)

302.5m

b)

297.5m

c)

300.5m

d)

299.5m

74.

The following number has been rounded to the nearest 5 metres.


300m


Find the lower bound...

a)

302.5m

b)

297.5m

c)

300.5m

d)

299.5m

75.

The following number has been rounded to the nearest 5 metres.


260m


Find the lower bound...

a)

262.5m

b)

257.5m

c)

260.6m

d)

259.5

76.

The following number has been rounded to the nearest 5 metres.


260m


Find the upper bound...

a)

262.5m

b)

257.5m

c)

260.6m

d)

259.5

77.

The following number has been rounded to the nearest metre.


2000m


Find the upper bound...

a)

2000.5m

b)

2005m

c)

2500m

d)

2004.5m

78.

The number 10 has been rounded to the nearest whole number. Find its lower and upper bounds

a)

9 ≤ 10 < 10

b)

9.5  ≤ 10  < 10.5

c)

9 ≤ 10 < 11

79.

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds

a)

950  ≤ 1000  < 1050

b)

950 ≤ 1000 < 1050.1

c)

950 ≤ 1000 < 1051

80.

The number 51.2 has been rounded to the nearest 1 decimal place. Find its lower and upper bound

a)

51.1 ≤ 51.2 < 51.2

b)

51.15  ≤ 51.2  < 51.25

c)

51 ≤ 51 < 51

81.

The number 43.4 has been rounded to the nearest tenth. Find its lower and upper bounds.

a)

42 ≤ 43 < 44

b)

43.3 ≤ 43.4 < 43.4

c)

43.35  ≤ 43.4  < 43.45

82.

The number 60 has been rounded to 1 significant figure. Find its lower and upper bounds.

a)

55< 60 < 65

b)

55.25 ≤ 60 < 65.25

c)

55  ≤ 60  < 65

83.

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

a)

395 and 385

b)

390.5 and 389.5

c)

400 and 300

d)

400 and 350

84.

The following number has been rounded to 1 significant figure.


800


Find the upper bound...

a)

850

b)

750

c)

849

d)

749

85.

The following number has been rounded to 1 significant figure.


8000


Find the lower bound...

a)

8500

b)

7500

c)

8490

d)

7490

86.

The following number has been rounded to the nearest 5 metres.


125m


Find the upper bound...

a)

125.5m

b)

127.5m

c)

122.5m

d)

125.05m

87.

The following number has been rounded to the nearest 5 metres.


260m


Find the lower bound...

a)

262.5m

b)

257.5m

c)

260.6m

d)

259.5

88.

The length and width of a field have been measured as 78m and 35m to the nearest metre. Find the upper bound of fencing needed to surround the field.

a)

27

b)

228

c)

226.5

d)

228.5

89.

The sides of the rectangle are measured to the nearest cm. What is the largest area of the rectangle?

a)

15 cm2

b)

19.3 cm

c)

19.25 cm2

d)

11.25 cm2

90.

If A = BCA\ =\ \frac{B}{C}   what is the maximum value of A, if B is 100m correct to the nearest 5 m and C is 10 m correct to the nearest meter? 

(Give your final answer in 2 decimal places)



(a)  

91.

A metal rod has a length of 2 cm to the nearest cm.

What is the greatest possible length of the rod?

(a)  

92.

Write down the lower bound of 60kg rounded to the nearest kg.

a)

59

b)

55

c)

59.5

d)

60.5

93.

To 1 significant figure 80,000 people attended Manchester United's last game. What is the maximum number of people that could have actually attended the game?

a)

85,000

b)

84,900

c)

84,990

d)

84,999

94.

The horsepower of a car is measured at 351 bhp to the nearest integer. What are the limits of accuracy for the actual horsepower?

a)

350.5≤x≤351.5

b)

350.5<x<351.5

c)

350.5<x≤351.5

d)

350.5≤x<351.5

95.

A number, y, is rounded to 2 significant figures.

The result is 0.46

Write down the error interval for y.

a)

0.445≤y<0.455

b)

0.455≤y<0.465

c)

0.45≤y<0.55

d)

0.5≤y<0.6

96.

Dionne has 60 golf balls.

Each of these golf balls weighs 42 grams to the nearest gram.

Work out the greatest possible total weight of all 60 golf balls.

Give your answer in kilograms.

a)

2550

b)

2520

c)

2544

d)

2490

97.

A car is stopped for speeding travelling at 85mph to the nearest 5mph. What is the slowest speed it could have been doing?

a)

84.5

b)

80

c)

84

d)

82.5

98.

p = 5.37 correct to 2 decimal places.

s = 2.9 correct to 1 decimal place.

Which is the correct working to find the greatest possible value of m?

a)
b)
c)
d)
99.

a is 8.3 cm correct to the nearest mm

b is 6.1 cm correct to the nearest mm

Calculate the upper bound for c to 1 d.p.

You must show your working.

a)

5.8

b)

5.6

c)

10.4

d)

10.3

100.

Jarek uses the formula shown to work out the area of a triangle.


For this triangle,

a = 7.8 cm correct to the nearest mm.

b = 5.2 cm correct to the nearest mm.

C = 63° correct to the nearest degree.

Calculate the lower bound for the area of the triangle to 3 s.f.

a)

18.4

b)

17

c)

18

d)

17.7

101.

How many significant figures are there in 125 meters?

a)

1

b)

2

c)

3

d)

4

102.

How many significant figures are there in 1008 grams?

a)

1

b)

2

c)

3

d)

4

103.

How many significant figures are there in 10082 kilometers?

a)

1

b)

2

c)

3

d)

5

104.

How many significant figures are there in 10 liters?

a)

1

b)

2

c)

3

d)

4

105.

How many significant figures are there in 0.0054 grams?

a)

1

b)

2

c)

3

d)

4

106.

How many significant figures are there in 0.020 meters?

a)

1

b)

2

c)

3

d)

4

107.

Identify, how many significant figures does the following number have?

408408  



(a)  

108.

Identify, how many significant figures does the following number have?

321.012321.012  



(a)  

109.

Identify, how many significant figures does the following number have?

0.005090.00509  



(a)  

110.

Identify, how many significant figures does the following number have?

0.2460800.246080  



(a)  

111.

Identify, how many significant figures does the following number have?

3200032000  



(a)  

112.

Which of the following numbers have two significant figures?

a)

21

b)

4900.

c)

0.000210

d)

0.023

113.

Which of the following numbers have four significant figures?

a)

5500

b)

12045

c)

5500.

d)

0.01020

114.

Which of the following numbers have five significant figures?

a)

21000.

b)

83841

c)

0.22033

d)

12.345

115.

Which of the following numbers has more than two significant figures?

a)

9400

b)

2.000

c)

70

d)

0.00025

116.

How many significant numbers does the following number have? 246.32

a)

2

b)

3

c)

4

d)

5

117.

How many significant figures does the following number have? 0.02

a)

1

b)

2

c)

2

d)

4

118.

How many significant figures does the following number have? 0.020

a)

1

b)

2

c)

3

d)

4

119.

How many significant figures does the following number have? 501

a)

1

b)

2

c)

3

d)

4

120.

How many significant figures does the following number have? 501.0

a)

1

b)

2

c)

3

d)

4

121.

How many significant figures does the following number have? 5,000

a)

1

b)

2

c)

3

d)

4

122.

How many significant figures does the following number have? 5,000.

a)

1

b)

2

c)

3

d)

4

123.

How many significant figures does the following number have? 6,051.00

a)

3

b)

4

c)

5

d)

6

124.

How many significant figures does the following number have? 0.0005

a)

1

b)

2

c)

3

d)

4

125.

How many significant figures does the following number have? 0.1020

a)

1

b)

2

c)

3

d)

4

126.

How many significant figures does the following number have? 709.2

a)

1

b)

2

c)

3

d)

4

127.

How many significant figures does the following number have? 36.00

a)

1

b)

2

c)

3

d)

4

128.

How many significant figures does the following number have? 0.14

a)

1

b)

2

c)

3

d)

4

129.

How many significant figures does the following number have? 7.0

a)

1

b)

2

c)

3

d)

4

130.

How many significant figures does the following number have? 385

a)

1

b)

2

c)

3

d)

4

131.

How many significant figures does the following number have? 0.47

a)

1

b)

2

c)

3

d)

4

132.

How many significant figures does the following number have? 65.42

a)

1

b)

2

c)

3

d)

4

133.

How many significant figures does the following number have? 5006.12

a)

4

b)

5

c)

6

d)

7

134.

How many significant figures does the following number have? 100.6040

a)

4

b)

5

c)

6

d)

7

135.

How many significant figures does the following number have? 100

a)

1

b)

2

c)

3

d)

4

136.

Evaluate   782÷34+46×31.782\div34+46\times31.  

a)

1449

b)

4816

c)

303

d)

826

137.

Find the value    29+32÷(2113)29+32\div\left(21-13\right)  

a)

-10

b)

33

c)

13

d)

70

138.

Calculate    63÷(4839)+344×763\div\left(48-39\right)+34-4\times7   

a)

13

b)

23

c)

33

d)

43

139.

Find  28(12+28)÷(6246)28\left(12+28\right)\div\left(62-46\right)  

a)

-45

b)

-70

c)

23

d)

70

140.

Find value of:-

(2÷2) × (2 + 2 - 2)=

a)

2

b)

4

c)

6

d)

8

141.

Find value of:-

(2÷2) × 2 - 2 + 2 =

a)

2

b)

4

c)

6

d)

-1

142.

Find value of:-

(2×2) ÷ 2 +2 × 2 =

a)

2

b)

4

c)

6

d)

0

143.

4 x 6 - 15/3 + 7

(a)  

144.

(-3 x 2) + (-7 x 1)

a)

14

b)

-13

c)

13

d)

-14

145.

(93 + 15) ÷ (3 x 4)

(a)  

146.

Which operation would you do first in the following calculation?

1812+2(5+3)+10218-12+2\left(5+3\right)+10^2   

a)

Subtraction

b)

Division

c)

Addition

d)

Bracket

147.

4 x 5 - 2 + 4

a)

14

b)

16

c)

22

d)

28

148.

(9 + 4) x 2 + 3

a)

29

b)

65

c)

18

149.

3 + (8 - 4) x 2 x 7

a)

98

b)

59

c)

31

150.

9 + 5 - 6 x 2

a)

2

b)

16

c)

26

d)

20

151.

(3 x 4) ÷\div  (6 - 4)

a)

0

b)

22

c)

6

152.

6 x 2 + 4 x 8

a)

288

b)

128

c)

44

153.

7 + 2 x 5 x 4

a)

180

b)

47

c)

68

154.

What is 4 + 5 x 2 =

a)

18

b)

14

c)

22

d)

40

155.

6 + 3 x 4 =

a)

12

b)

36

c)

18

d)

20

156.

 Calculate 13×(2618)13\times\left(26-18\right)   

a)

8

b)

18

c)

104

d)

320

157.

2 x ( 3 2 x 5 ) - 5

a)

90

b)

85

c)

55

d)

80

158.

(3 x 4) ÷\div  (6 - 4)

a)

0

b)

22

c)

6

159.

What does 34 mean?

a)

3 x 3 x 3 x 3

b)

4 x 4 x 4

c)

3 x 4

d)

4 x 3

160.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

161.

22 - (3 + 1)

a)

0

b)

4

c)

22

d)

11

162.

Put brackets in to make the answer correct:

8 x 9 - 5 - 6 = 26

a)

8 x (9 - 5) - 6 = 26

b)

8 x 9 - (5 - 6) = 26

c)

(8 x 9) - 5 - 6 = 26

d)

no brackets are needed

163.

Put brackets in to make the answer correct:

14 + 6 x 4 -32 = 6

a)

14 + (6 x 4) -32 = 6

b)

(14 + 6) x 4 -32 = 6

c)

14 + (6 x 4 -32) = 6

d)

no brackets are needed

164.

Put brackets in to make the answer correct:

7 + 6 x 12 - 7 = 37

a)

(7 + 6) x 12 - 7 = 37

b)

7 + (6 x 12) - 7 = 37

c)

7 + 6 x (12 - 7) = 37

d)

no brackets are needed

165.
6 + 3 x 4
a)
12
b)
36
c)
18
d)
20
166.
2 x (3 + 5)
a)
11
b)
16
c)
13
d)
18