Free Printable M1001

1.

Solve for x.

a)

3

b)

5

c)

6

d)

8

2.

Solve for x.

a)

5

b)

-2

c)

4

d)

12

3.

Solve for x.

a)

4

b)

-6

c)

-4

d)

6

4.

Find the missing side.

a)

9.4 km

b)

8.8 km

c)

1.9 km

d)

12.9 km

5.

Solve for x.

a)

-6

b)

7

c)

12

d)

-11

6.

Solve for the variable.

a)

11

b)

-7.5

c)

35

d)

-2.52

7.

What is
the Bearing
of A
from B?

a)

45

b)

130

c)

045

d)

135

8.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

9.

Find the derivative of the given equation
f(x) = x⁴ + 4x³- 2x²

a)

x³ + x²- x

b)

4x³ + 12x²+ 4x

c)

4x + 12x - 4x

d)

4x³ + 12x²- 4x

10.

Find $\frac{dy}{dx}$ for $y=\left(x+5\right)\left(2x-1\right)$ .

a)

$9-4x$

b)

$4x+9$

c)

$4x-9$

d)

$-4x-9$

11.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

12.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

13.

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

a)

2x + 3y ≤ 18

b)

x + y ≤ 6

c)

x + y ≤ 9

d)

3x + 2y ≤ 18

14.

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

a)

x≥0
y≥0
x+y≥6
3x+2y≥15

b)

x≥0
y≥0
x+y≤6
2x+3y≤15

c)

x≥0
y≥0
4000x+y≤6
2x+600y≤15

d)

P=4000x+3000y

15.

a)

(0, 0), (0, 6), (6, 2), (8, 0)

b)

(0, 0), (6, 0), (2, 6), (0, 8)

16.

x - y - 1 ≤ 0

a)

b)

c)

d)

17.

x ≤ -3

a)

b)

c)

d)

18.

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

a)

smallest24.5/largest25.5

b)

smallest23.6/largest29.5

c)

smallest24.5/largest25.5kg

d)

kjjnejneqovmqeo

19.

Find the vertex of the quadratic:
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

20.

What is the y-intercept of
f(x)=2x² + 4x + 6

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

21.

Here are the first five terms in a number sequence.

7 10 13 16 19

The 10th term in this number sequence is (a)

22.

Here are the first five terms in a number sequence.

7 10 13 16 19

Write an expression, in terms of n, for the nth term of this number sequence.

a)

4n+3

b)

3n+4

c)

3n-4

23.

A number sequence has nth term 6n + 3

Write down the first four terms of this sequence.

(a)

24.

A sequence of numbers is shown.

2 , 9, 16, 23 , 30

Find an expression for the nth term of the sequence

a)

7n

b)

7n + 5

c)

7n - 5

25.

2, 9, 16, 23, 30

Find the 100th term in the sequence.

a)

695

b)

705

c)

700

26.

The first 5 terms in a number sequence are

10, 7, 4, 1, -2 , ..., ...

Work out the nth term of the sequence.

a)

3n-13

b)

3n+7

c)

-3n+13

27.

The first 5 terms in a number sequence are

2, 2.5, 3, 3.5, 4, ..., ...

Work out the nth term of the sequence.

a)

-0.5n+1.5

b)

0.5n+1.5

c)

0.5n-1.5

28.

$\sqrt{2\ },\ \ \sqrt{7},\ \ \sqrt{12},\ \ \sqrt{17},\ ......$
find the nth term of this sequence.

a)

$\sqrt{5n-3}$

b)

$\sqrt{5n+3}$

c)

$5n-3$

29.

$\frac{5}{17},\ \frac{8}{15},\ \frac{11}{13\ },\ \frac{14}{11},\ \frac{17}{8},\ .....$
Work out the nth term of the sequence.

a)

$\frac{5n+3}{2n+17}$

b)

$\frac{5n+2}{-2n+19}$

c)

$\frac{5n+3}{-2n-15}$

30.

A number sequence has nth term 6n + 3.

Sara says that 1008 is a term in this sequence.

Is she correct?

a)

Incorrect, because n should be a positive integer.Here n=167.5

b)

correct, n= 167.5 round off n= 168

c)

Incorrect, answer is 6(1008)+3= 6051

d)

correct, answer is 6(1008)+3= 6051, so n is a positive integer

31.

The side of a cube whose surface area is 600 cm² is____

a)

10 cm

b)

10 cm²

c)

60 cm

d)

6 cm

32.

Choose the correct answer to find the area of a circle

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$2\pi r$

33.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

$180\ cm^3$

b)

$21600\ cm^2$

c)

$216000\ cm^3$

d)

$720\ cm^3$

34.

Solve for c

a)

7

b)

9

c)

13

35.

Find the volume of a right circular cylinder if r = 7 cm and h = 14 cm.

a)

$1112\ cm^3$

b)

$512\ cm^3$

c)

$1078\ cm^3$

d)

$2156\ cm^3$

36.

Volume of a cube is 125 cm³. Find its total surface area.

a)

$150\ cm^2$

b)

$25\ cm^2$

c)

$50\ cm^2$

d)

$100\ cm^2$

37.

The total surface area of a cuboid with dimension 10cm X 6cm X 5cm is

a)

$280\ cm^2$

b)

$300\ cm^2$

c)

$360\ cm^2$

d)

$600\ cm^2$

38.

The volume of a cuboid whose dimensions are 12cm X8cm X6cm is

a)

$576\ cm^3$

b)

$276\ cm^3$

c)

$176\ cm^3$

d)

$256\ cm^3$

39.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

40.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

41.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

42.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

43.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

44.

The total surface area of a cube whose edge is 4 cm is

a)

$96\ cm^2$

b)

$64\ cm^2$

c)

$48\ cm^2$

d)

$24\ cm^2$

45.

Match boxes, bricks are examples for

a)

Cuboid

b)

Cube

c)

Cylinder

d)

Cone

46.

Area of 4 walls of a room is given by

a)

$2h\left(l+b\right)$

b)

$2\left(l+b\right)$

c)

$2\left(lb+bh+hl\right)$

d)

$lbh$

47.

Which of the following is true about the list below:

-1, 2, 5, 9, 16, -9, 3, 27, 81, 0.5, $\sqrt[]{16}$

a)

All integers;

8 natural numbers;

4 square numbers;

2 prime numbers

b)

All integers except 0.5;

8 natural numbers;

4 square numbers;

3 prime numbers

c)

All integers except 0.5;

10 natural numbers;

2 square numbers;

3 prime numbers

d)

All integers except 0.5;

8 natural numbers;

3 square numbers;

3 prime numbers

48.

List the first 3 multiples of 12 from smallest to largest

(a)

49.

List all factors of 12 (from smallest to largest)

(a)

50.

What is the highest common factor (HCF) of 24 and 56?

(a)

51.

What is the least common multiple (LCM) of 12, 20 and 32?

(a)

52.

When 40 is written as the product of prime numbers, it is in the following form:

$40\ =\ a^b\times c$

Write down the values of a, b and c respectively.

(a)

53.

Write down the square of 17

(a)

54.

Write down the cube root of -27

(a)

55.

Insert one pair of brackets only to make the following statement correct.

6 + 5 × 10 − 8 = 16

(a)

56.

Write 0.030041269 correct to 3 siginificant figures

(a)

57.

Write 233.14159 correct to nearest hundred

(a)

58.

After how many minutes did the cyclist stop?

(a)

59.

How many kilometres did the cyclist travel in the first 8 minute?

(a)

60.

Write 9% as a fraction

a)

0.09

b)

$\frac{9}{100}$

c)

$\frac{9}{10}$

d)

0.9

61.

Write $\frac{3}{10}$ as a decimal

(a)

62.

A bag contains 20 counters.

10 counters are red, 8 are blue and the rest are yellow.

One counter is taken from the bag at random.

Find the probability that the counter is yellow.

a)

$\frac{1}{2}$

b)

$\frac{2}{5}$

c)

$\frac{1}{10}$

d)

$\frac{9}{10}$

63.

Work out $\frac{1.17+1.28}{3.92}$

(a)

64.

The temperature at midnight was -8⁰C

The temperature at 5 am was -3⁰C

Work out the difference between the two temperature

(a)

65.

Write down a prime number between 50 and 60

(a)

66.

Write down a common multiple of 8 and 12

(a)

67.

Write 14 835 correct to the nearest thousand

(a)

68.

Write 15 000 in standard form

a)

$15\times10^3$

b)

$1.5\times10^4$

c)

$1.5\times10^{-3}$

d)

$1.5\times10^{-4}$

69.

Find the value of $a$

(a)

70.

Use trigonometry to calculate the value of x .

(a)

71.

The Diagram shows a solid in the shape of a cuboid with a small cuberemoved. The cuboid measures 9 cm by 6 cm by 5 cm. Each edge of the small cube measures 2 cm. Calculate the volume of the solid.

(a)

72.

Cups are made in a factory.

The probability that one of these cups is faulty is 0.02

Find the probability that a cup is not faulty.

(a)

73.

Cups are made in a factory.

The probability that one of these cups is faulty is 0.02

In one day 2 500 cups are made.

Work out the number of these cups that are expected to be faulty.

(a)

74.

Co-ordinates of point B is .........

a)

$\left(1\ ,\ 7\right)$

b)

$\left(7\ ,\ 1\right)$

75.

Find the gradient of the line $AB$

(a)

76.

Rectangle P is similar to rectangle Q

Work out the value of h

(a)

77.

Work out the perimeter of a regular octagon with side length 4 cm

(a)

78.

Work out the interior angle of a regular 12-sided shape.

(a)

79.

Celine buys a bag of 24 tulip bulbs.

There are 8 red bulbs and 5 white bulbs.

All of the other bulbs are yellow.

Celine chooses a bulb at random from the bag.

Write down the probability that the bulb is red or white.

a)

$\frac{8}{24}$

b)

$\frac{13}{24}$

c)

$\frac{11}{24}$

80.

Celine buys a bag of 24 tulip bulbs.

There are 8 red bulbs and 5 white bulbs.

All of the other bulbs are yellow.

Celine chooses a bulb at random from the bag.

Write down the probability that the bulb is yellow.

a)

$\frac{8}{24}$

b)

$\frac{13}{24}$

c)

$\frac{11}{24}$

81.

The probability that FC Victoria wins the cup is 0.18 .

Work out the probability that they do not win the cup.

(a)

82.

After training, the shirts are washed.

There are 5 red, 3 blue and 6 green shirts.

One shirt is taken from the washing machine at random.

Find the probability that it is

(i) red, (ii) blue or green (iii) white

a)

\left(i\right)\ \frac{5}{14}\ \ \left(ii\right)\ \frac{9}{14}\ \ \left(iii\right)\ 0

b)

$\left(i\right)\ \frac{5}{8}\ \ \ \left(ii\right)\ \frac{9}{14}\ \ \ \left(iii\right)\ 0$ 0

c)

$\left(i\right)\ \frac{5}{14}\ \ \left(ii\right)\ \frac{9}{14}\ \ \left(iii\right)\ 1$

83.

Zingon make light bulbs.
The probability that a Zingon light bulb is faulty is $\frac{1}{20}$ .
Gina tests 240 of these light bulbs.How many of them would she expect to be faulty?

a)

12

b)

22

c)

21

84.

Colin has some seeds.

The probability a seed will grow is 0.85 .

Find the probability that a seed will not grow.

a)

0.2

b)

0.1

c)

0.15

85.

85% of the seeds in a packet will produce red flowers.

One seed is chosen at random.

What is the probability that it will not produce a red flower?

a)

$15\%$

b)

$15$

c)

$0.85\%$

86.

In a group of 35 students, 14 go to school by bus.

Write down the probability that a student, chosen at random, does not go to school by bus.

Give your answer as a fraction in its lowest terms.

a)

$\frac{3}{5}$

b)

$\frac{21}{35}$

c)

$\frac{2}{5}$

87.

Write down the relative frequency of the spinner stopping on blue.

a)

$\frac{8}{25}$

b)

$\frac{17}{75}$

c)

$\frac{14}{75}$

88.

Tony spins the same spinner 450 times.

Find the expected number of times the spinner stops on yellow.

a)

$\frac{14}{75}$

b)

$84$

c)

$102$

89.

A B C D E F G H I J K

A letter is chosen at random from the list above.

Write down, as a fraction, the probability that the letter has no curved parts.

a)

$\frac{6}{11}$

b)

$\frac{5}{11}$

c)

$\frac{2}{11}$

90.

One letter from the word CORONAVIRUS is chosen at random.

What is the probability that it is the letter O?

a)

$\frac{3}{11}$

b)

$\frac{2}{11}$

c)

$\frac{4}{11}$

91.

The probability that it will rain in the city of Alexandria tomorrow is 0.01,

What is the probability that it will not rain in Alexandria tomorrow?

(a)

92.

List all the possible outcomes she could get.

The first one has been done for you.

(1,Head)

a)

(2, Head), (3 Head), (4 Head), (5 Head), (1, Tail), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

b)

(2, Head), (3 Head), (4 Head), (tail, head), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

c)

(3 Head), (4 Head), (5 Head), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

93.

Samire takes a bead at random from the bag.

Write down the probability that she takes a blue bead.

a)

$5$

b)

$\frac{5}{12}$

c)

$\frac{2}{12}$

94.

Celine buys a bag of 24 tulip bulbs.

There are 8 red bulbs and 5 white bulbs.

All of the other bulbs are yellow.

Celine chooses a bulb at random from the bag.

Write down the probability that the bulb is red or white.

a)

$\frac{8}{24}$

b)

$\frac{13}{24}$

c)

$\frac{11}{24}$

95.

Celine buys a bag of 24 tulip bulbs.

There are 8 red bulbs and 5 white bulbs.

All of the other bulbs are yellow.

Celine chooses a bulb at random from the bag.

Write down the probability that the bulb is yellow.

a)

$\frac{8}{24}$

b)

$\frac{13}{24}$

c)

$\frac{11}{24}$

96.

The probability that FC Victoria wins the cup is 0.18 .

Work out the probability that they do not win the cup.

(a)

97.

After training, the shirts are washed.

There are 5 red, 3 blue and 6 green shirts.

One shirt is taken from the washing machine at random.

Find the probability that it is

(i) red, (ii) blue or green (iii) white

a)

\left(i\right)\ \frac{5}{14}\ \ \left(ii\right)\ \frac{9}{14}\ \ \left(iii\right)\ 0

b)

$\left(i\right)\ \frac{5}{8}\ \ \ \left(ii\right)\ \frac{9}{14}\ \ \ \left(iii\right)\ 0$ 0

c)

$\left(i\right)\ \frac{5}{14}\ \ \left(ii\right)\ \frac{9}{14}\ \ \left(iii\right)\ 1$

98.

Zingon make light bulbs.
The probability that a Zingon light bulb is faulty is $\frac{1}{20}$ .
Gina tests 240 of these light bulbs.How many of them would she expect to be faulty?

a)

12

b)

22

c)

21

99.

Colin has some seeds.

The probability a seed will grow is 0.85 .

Find the probability that a seed will not grow.

a)

0.2

b)

0.1

c)

0.15

100.

85% of the seeds in a packet will produce red flowers.

One seed is chosen at random.

What is the probability that it will not produce a red flower?

a)

$15\%$

b)

$15$

c)

$0.85\%$

101.

In a group of 35 students, 14 go to school by bus.

Write down the probability that a student, chosen at random, does not go to school by bus.

Give your answer as a fraction in its lowest terms.

a)

$\frac{3}{5}$

b)

$\frac{21}{35}$

c)

$\frac{2}{5}$

102.

Write down the relative frequency of the spinner stopping on blue.

a)

$\frac{8}{25}$

b)

$\frac{17}{75}$

c)

$\frac{14}{75}$

103.

Tony spins the same spinner 450 times.

Find the expected number of times the spinner stops on yellow.

a)

$\frac{14}{75}$

b)

$84$

c)

$102$

104.

A B C D E F G H I J K

A letter is chosen at random from the list above.

Write down, as a fraction, the probability that the letter has no curved parts.

a)

$\frac{6}{11}$

b)

$\frac{5}{11}$

c)

$\frac{2}{11}$

105.

One letter from the word CORONAVIRUS is chosen at random.

What is the probability that it is the letter O?

a)

$\frac{3}{11}$

b)

$\frac{2}{11}$

c)

$\frac{4}{11}$

106.

The probability that it will rain in the city of Alexandria tomorrow is 0.01,

What is the probability that it will not rain in Alexandria tomorrow?

(a)

107.

List all the possible outcomes she could get.

The first one has been done for you.

(1,Head)

a)

(2, Head), (3 Head), (4 Head), (5 Head), (1, Tail), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

b)

(2, Head), (3 Head), (4 Head), (tail, head), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

c)

(3 Head), (4 Head), (5 Head), (2 Tail), (3 Tail), (4 Tail), (5 Tail),

108.

Samire takes a bead at random from the bag.

Write down the probability that she takes a blue bead.

a)

$5$

b)

$\frac{5}{12}$

c)

$\frac{2}{12}$

M1001

Total questions: 108

Worksheet time: 3hrs 39mins

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