Free Printable Unit 2 (all topics)

1.

In a class there are 16 boys and 14 girls.

What is the ratio of boys to girls?

a)

$14\ :\ 16$

b)

$16\ :\ 14$

c)

$16\ :\ 30$

d)

$14\ :\ 30$

2.

In a school there are 15 teachers and 80 pupils.

What is the ratio of teachers to pupils?

a)

$15\ :\ 80$

b)

$80\ :\ 15$

c)

$15\ :\ 95$

d)

$80\ :\ 95$

3.

In a bag there are 8 red counters and 6 blue counters.

What is the ratio of blue to red?

a)

$8\ :\ 6$

b)

$6\ :\ 8$

c)

$8\ :\ 14$

d)

$6\ :\ 14$

4.

Simplify fully the ratio $15\ :\ 20$

a)

$10\ :\ 15$

b)

$3\ :\ 4$

c)

$1.5\ :\ 2$

d)

$7.5\ :\ 10$

5.

In a bag there are 8 red counters and 12 blue counters.

In its simplest form, what is the ratio of red to blue counters?

a)

$8\ :\ 12$

b)

$4\ :\ 6$

c)

$2\ :\ 3$

d)

$1\ :\ 1.5$

6.

In a company there are 12 full-time workers and 21 part-time workers.

In its simplest form, what is the ratio of full-time to part-time workers?

a)

$12\ :\ 21$

b)

$4\ :\ 7$

c)

$6\ :\ 10.5$

d)

$1\ :\ 1.75$

7.

Simplify fully the ratio $4\ :\ 6$

Give your answer in the form $1\ :\ n$

a)

$2\ :\ 3$

b)

$1\ :\ 1.5$

c)

$1\ :\ 2$

d)

$1\ :\ 0.66$

8.

Simplify fully the ratio $10\ :\ 24$

Give your answer in the form $1\ :\ n$

a)

$5\ :\ 12$

b)

$1\ :\ 2.4$

c)

$1\ :\ 2$

d)

$1\ :\ 0.42$

9.

Simplify fully the ratio $6\ :\ 8$

Give your answer in the form $n\ :\ 1$

a)

$3\ :\ 4$

b)

$0.75\ :\ 1$

c)

$1\ :\ 0.75$

d)

$1.33\ :\ 1$

10.

Simplify fully the ratio $10\ :\ 12$

Give your answer in the form $n\ :\ 1$

a)

$5\ :\ 6$

b)

$\frac{5}{6}\ :\ 1$

c)

$1\ :\ 0.83$

d)

$1.2\ :\ 1$

11.

Adam and Barry share out $£40$ in the ratio $2\ :\ 3$

How much does Adam receive?

(a)

12.

Claire and David share out $28$ sweets in the ratio $4\ :\ 3$

How many sweets does David receive?

(a)

13.

Emma and Frank share out $72$ stickers in the ratio $3\ :\ 5$

How many stickers does Emma receive?

(a)

14.

Gemma and Harry share out $£180$ in the ratio $3\ :\ 7$

How much more money does Harry receive than Gemma?

(a)

15.

Immy and Jenny share out $120$ counters in the ratio $7\ :\ 5$

How many more counters does Immy receive than Jenny?

(a)

16.

Ava, Bob and Clara share out $£60$ in the ratio $3\ :\ 4\ :\ 5$

How many money does Ava receive?

(a)

17.

Dave, Eve and Farid share out $105$ counters in the ratio $2\ :\ 4\ :\ 1$

How many counters does Eve receive?

(a)

18.

Gavin, Hannah and Ingrid share out $275$ sweets in the ratio $5\ :\ 2\ :\ 4$

How many more sweets does Gavin receive than Hannah?

(a)

19.

The angles in a triangle are in the ratio $2\ :\ 6\ :\ 7$

How big is the smallest angle in the triangle?

(a)

20.

The angles of the sectors in a pie chart are in the ratio $2\ :\ 5\ :\ 6\ :\ 7$

What is the angle in the largest sector?

(a)

21.

If 2 pencils cost 60p, how much does it cost to buy 3 pencils?

(a)

22.

If 3 burgers cost £12, how much does it cost to buy 2 burgers?

(a)

23.

If 7 folders cost £21, how much does it cost to buy 10 folders?

(a)

24.

If 6 apples weigh 270g, how much would 9 apples weigh?

(a)

25.

If 5 oranges weigh 190g, how much would 7 oranges weigh?

(a)

26.

A train is travelling at a constant speed.

The train travels 260 miles in 4 hours.

How far will the train travel in 7 hours?

(a)

27.

A man is running at a constant speed.

He runs 7 miles in 25 minutes.

How far will the train travel in 45 minutes?

(a)

28.

6 euros are worth £5.

What is the value in pounds of 15 euros?

(a)

29.

8 km is the same as 5 miles

What is 30 km in miles?

(a)

30.

At a pick-and-mix stand it costs £1.75 to buy 70g of sweets.

How much sweets could you buy with £5 ?

(a)

31.

You are purchasing apples.

A single apple costs £0.30, and a bag of 10 costs £2.80

Which option is better value?

a)

Single apple

b)

Bag of 10

32.

You are buying notebooks.

A pack of 5 costs £4.50, and a pack of 10 costs £8.00

Which pack is better value?

a)

Pack of 5

b)

Pack of 10

33.

A 500g bag of rice costs £1.20, and a 1kg bag costs £2.30

Which option offers the best value?

a)

500g bag

b)

1kg bag

34.

You are buying chocolate bars.

A single bar costs £0.75, and a pack of 5 costs £3.99

Which option is better value?

a)

Single bar

b)

Pack of 5

35.

You need to buy 2 litres of milk.

A 500 ml bottle costs £0.90, and a 1-litre bottle costs £1.75

Which option is cheaper?

a)

Four 500 ml bottles

b)

Two 1-litre bottles

36.

You are buying juice.

A 250 ml bottle costs £0.85, and a 1-litre bottle costs £3.50

Which option is cheaper per litre?

a)

250 ml bottle

b)

1-litre bottle

37.

A pack of 5 pens costs £4.50, a pack of 8 pens costs £8.

Which pack is better value?

a)

Pack of 5

b)

Pack of 8

38.

A pack of 6 towels costs £7, a pack of 9 towels costs £11.

Which pack is better value?

a)

Pack of 6

b)

Pack of 8

39.

A pack of 3 toothbrushes costs £5, a pack of 4 toothbrushes costs £6.75

Which pack is better value?

a)

Pack of 3

b)

Pack of 4

40.

A supermarket sells 1 litre and 2 litre bottles of lemonade.

A 1 litre bottle usually costs 80p, a 2 litre bottle usually costs £1.50

If you buy three 1 litre bottles you get a fourth 1 litre bottle free.

The price of a 2 litre bottle has been reduced by 20%

What is the cheapest way to buy 4 litres of lemonade?

a)

Four 1 litre bottles.

b)

Two 2 litre bottles

c)

It's the same price for either option

41.

Jane scores 28 out of 40 in a test.

Which calculation works out her score as a percentage?

a)

$\frac{28}{40}\times100$

b)

$\frac{28}{100}\times40$

c)

$\frac{40}{28}\times100$

d)

$\frac{40}{100}\times28$

42.

Brian scored 48 out of 60 in a test.

What is his score as a percentage?

a)

$0.8$

b)

$80\%$

c)

$125\%$

d)

$8\%$

43.

Chloe scored 26 out of 80 in a test.

What is her score as a percentage?

a)

$0.325$

b)

$32.5\%$

c)

$325\%$

d)

$3.25\%$

44.

Ellie scores 34 out of 40 in a test.

What is Ellie's score as a percentage?

(a)

45.

In a bag of 24 apples, 6 of them are rotten.

What percentage of the apples are rotten?

(a)

46.

In a school of 320 pupils, 112 of them are boys.

What percentage of the pupils are boys?

(a)

47.

In a bag of counters, 52 are red and 28 are blue.

What percentage of the counters are red?

(a)

48.

In a class there are 12 girls and 20 boys.

What percentage of the class are girls?

(a)

49.

What is 600g as a percentage of 2kg ?

(a)

50.

What is 39 minutes as a percentage of 2 hours?

(a)

51.

A student needs to find $35\%$ of $80$ .

Which of the following would NOT find the correct answer?

a)

$80\times35\%$

b)

$80\times0.35$

c)

$80\times\frac{35}{100}$

d)

$80\times35$

52.

Work out $45\%$ of $60$ .

(a)

53.

Work out $70\%$ of $130$ .

(a)

54.

Work out $6\%$ of $250$ .

(a)

55.

Work out $12.5\%$ of $60$ .

(a)

56.

Work out $8.5\%$ of $1400$ .

(a)

57.

Work out $0.4\%$ of $6500$ .

(a)

58.

Work out $150\%$ of $48$ .

(a)

59.

Work out $125\%$ of $60$ .

(a)

60.

Work out $250\%$ of $32$ .

(a)

61.

Increase $60$ by $10\%$

(a)

62.

Decrease $90$ by $20\%$

(a)

63.

Increase $140$ by $5\%$

(a)

64.

Decrease $400$ by $15\%$

(a)

65.

Increase $320$ by $12.5\%$

(a)

66.

Decrease $1200$ by $67.5\%$

(a)

67.

Increase $43000$ by $0.5\%$

(a)

68.

Increase $30$ by $100\%$

(a)

69.

Increase $80$ by $150\%$

(a)

70.

Increase $140$ by $225\%$

(a)

71.

What multiplier is equivalent to a percentage increase of 3% ?

a)

$0.03$

b)

$0.97$

c)

$1.03$

d)

$1.3$

72.

What multiplier is equivalent to a percentage decrease of 5% ?

a)

$0.05$

b)

$0.95$

c)

$1.05$

d)

$1.5$

73.

£450 is invested into an account that pays 6% compound interest.

What calculation works out the balance in the account after 3 years?

a)

$450\times0.94^3$

b)

$450\times1.06^3$

c)

$450\times1.6^3$

d)

$450\times1.03^6$

74.

A new TV is bought for £675. It's value falls by 12% every year.

What calculation works out the value of the TV after 5 years?

a)

$675\times0.12^5$

b)

$675\times0.88^5$

c)

$675\times1.12^5$

d)

$675\times0.95^{12}$

75.

£1200 is invested in an account that earns 3% compound interest each year.

Work out the balance in the account after 2 years.

(a)

76.

£1700 is invested in an account that earns 4% compound interest each year.

Work out the balance in the account after 3 years.

(a)

77.

£2350 is invested in an account that earns 2.5% compound interest each year.

Work out the balance in the account after 6 years.

(a)

78.

A new laptop is bought for £900.

The car loses 15% of its value each year.

Work out the value of the car after 2 years.

(a)

79.

A new car is bought for £17000.

The car loses 9% of its value each year.

Work out the value of the car after 5 years.

(a)

80.

A new phone is bought for £400.

The phone loses 12% of its value each year.

How many years will it take for the phone to lose half its value?

(a)

81.

The number of pupils in a class has increased by 15%.

There are now 23 pupils.

What calculation would find how many pupils were in the class before the increase?

a)

$23\div1.15$

b)

$23\div0.85$

c)

$23\times0.85$

d)

$23\times1.15$

82.

A dress is in a sale and its price has reduced by 35%.

The dress now costs £91.

What calculation would find the price of the dress before the sale?

a)

$91\div0.65$

b)

$91\div1.35$

c)

$91\times0.65$

d)

$91\times1.35$

83.

The price of a new car has increased by 10% and now costs £26400.

Work out the price of the car before the increase.

(a)

84.

The price of a new phone has increased by 7% and now costs £631.30.

Work out the price of the phone before the increase.

(a)

85.

In the last year Ann's height has increased by 4% and she is now 130cm tall.

Work out Ann's height a year ago.

(a)

86.

In a sale the prices of all items are reduced by 25%.

A pair of shoes now costs £60

What was the normal price of the shoes?

(a)

87.

In a sale the prices of all items are reduced by 6%.

A TV now costs £535.80

What was the normal price of the TV?

(a)

88.

A car decelerates, reducing its speed by 20%.

The car it now travelling at 36mph.

What was the car's speed before the deceleration?

(a)

89.

The population of a town has increased by 3.5% in the last year

There are now 2,553,345 people living in the town.

How many people lived in the town last year?

(a)

90.

The value of a bitcoin has fallen by 4.75% in the last week.

The value of a bitcoin is now £30,575.25

What was the value of a bitcoin last week?

(a)

91.

Substitute $m=3$ into the expression $2m - 1$

a)

$22$

b)

$5$

c)

$4$

d)

$7$

92.

Evaluate the expression $2x - 3$ when $x = -1$

a)

$-5$

b)

$-1$

c)

$1$

d)

$5$

93.

If $y = -2$ , what is the value of $3y+10$ ?

a)

$-16$

b)

$4$

c)

$-4$

d)

$16$

94.

Substitute $a = -3$ and $b = 1$ into the equation $a + 2b$

a)

$-5$

b)

$-1$

c)

$1$

d)

$5$

95.

Substitute $a = \frac{1}{2}$ into the equation $4a + 1$

a)

$2$

b)

$3$

c)

$4$

d)

$5$

96.

Evaluate the expression $x^2 - 4$ when $x = -2$

a)

$0$

b)

$2$

c)

$-8$

d)

$8$

97.

If $x=\frac{1}{2}$ and $y=4$ , what is the value of $6x+5y$ ?

a)

$57$

b)

$32$

c)

$12$

d)

$23$

98.

Evaluate the expression $12x-1$ when $x=\frac{1}{3}$

a)

$4$

b)

$5$

c)

$3$

d)

$2$

99.

If $c=-3$ and $d=-5$ , what is the value of $2c^2+d$ ?

a)

$-23$

b)

$13$

c)

$31$

d)

$-17$

100.

Substitute $x = \frac{2}{3}$ and $y = -1$ into the expression $6x-5y^3$

a)

$-1$

b)

$9$

c)

$129$

d)

$-121$

101.

Rearrange the formula $W=k+5$ to make $k$ the subject.

a)

$k = \frac{W}{5}$

b)

$k = 5W$

c)

$k = W + 5$

d)

$k=W-5$

102.

Rearrange the formula $P=a-2$ to make $a$ the subject.

a)

$a=\frac{P}{2}$

b)

$a=P-2$

c)

$a=P+2$

d)

$a=2P$

103.

Rearrange the formula $y=x+a$ to make $x$ the subject.

a)

$x=\frac{y}{a}$

b)

$x=ay$

c)

$x=y+a$

d)

$x=y-a$

104.

Rearrange the formula $y=x-a$ to make $x$ the subject.

a)

$x=\frac{y}{a}$

b)

$x=ay$

c)

$x=y+a$

d)

$x=y-a$

105.

Rearrange the formula $A = 3b$ to make $b$ the subject.

a)

$b = \frac{A}{3}$

b)

$b = 3A$

c)

$b = A + 3$

d)

$b = \frac{3}{A}$

106.

Rearrange $M = 4n$ to make $n$ the subject.

a)

$n = M - 4$

b)

$n = \frac{M}{4}$

c)

$n = 4M$

d)

$n = M + 4$

107.

Rearrange the formula $y=kx$ to make $x$ the subject.

a)

$x=y-k$

b)

$x=\frac{y}{k}$

c)

$x=ky$

d)

$x=y+k$

108.

Rearrange the formula $S=\frac{d}{2}$ to make $d$ the subject.

a)

$d=S-2$

b)

$d=\frac{S}{2}$

c)

$d=2S$

d)

$d=S+2$

109.

Rearrange the formula $a=\frac{b}{3}$ to make $b$ the subject.

a)

$b=a-3$

b)

$b=\frac{a}{3}$

c)

$b=3a$

d)

$b=a+3$

110.

Rearrange the formula $P=\frac{1}{4}Q$ to make $Q$ the subject.

a)

$Q=P-4$

b)

$Q=\frac{1}{4}P$

c)

$Q=4P$

d)

$Q=P+4$

111.

Rearrange the formula $y=\frac{1}{m}x$ to make $x$ the subject.

a)

$x=y-m$

b)

$x=\frac{1}{m}y$

c)

$x=my$

d)

$x=y+m$

112.

Rearrange the formula $y=x^2$ to make $x$ the subject.

a)

$x=\frac{y}{2}$

b)

$x=2y$

c)

$x=\sqrt[]{y}$

d)

$x=y^2$

113.

Rearrange the formula $y = 2x + 5$ to make $x$ the subject.

a)

$x = \frac{y+5}{2}$

b)

$x = \frac{y-5}{2}$

c)

$x = 2y + 5$

d)

$x = \frac{y}{2} + 5$

114.

Rearrange the formula $y=3x+1$ to make $x$ the subject.

a)

$x=\frac{y+1}{3}$

b)

$x=\frac{y-1}{3}$

c)

$x=\frac{y}{3}+1$

d)

$x=\frac{y}{3}-1$

115.

Rearrange the formula $y=ax+b$ to make $x$ the subject.

a)

$x=\frac{y+b}{a}$

b)

$x=\frac{y-b}{a}$

c)

$x=by+a$

d)

$x=\frac{y}{a}-b$

116.

Rearrange the formula $y=5x-2$ to make $x$ the subject.

a)

$x=\frac{y+2}{5}$

b)

$x=\frac{y-2}{5}$

c)

$x=\frac{y}{5}+2$

d)

$x=\frac{y}{5}-2$

117.

Rearrange the formula $y=2x-3$ to make $x$ the subject.

a)

$x=\frac{y+3}{2}$

b)

$x=\frac{y-3}{2}$

c)

$x=\frac{y}{2}+3$

d)

$x=\frac{y}{2}-3$

118.

Rearrange the formula $y=ax-b$ to make $x$ the subject.

a)

$x=\frac{y+b}{a}$

b)

$x=\frac{y-b}{a}$

c)

$x=by+a$

d)

$x=\frac{y}{a}-b$

119.

Rearrange the formula $P=\frac{Q-5}{2}$ to make $Q$ the subject.

a)

$Q=2P+5$

b)

$Q=2\left(P+5\right)$

c)

$Q=2P-5$

d)

$Q=5P+2$

120.

Rearrange the formula $y=\frac{k}{x}$ to make $x$ the subject.

a)

$x=ky$

b)

$x=\frac{k}{y}$

c)

$x=\frac{y}{k}$

d)

$x=y-k$

121.

Draw a sketch of $y=x^2$

122.

Draw a sketch of $y=x^2-2$

123.

Draw a sketch of $y=x^2+1$

124.

Draw a sketch of $y=x^2-4x$

125.

Draw a sketch of $y=x^2-2x$

126.

Draw a sketch of $y=x^2+4x$

127.

Draw a sketch of $y=x^2+6x$

128.

Draw a sketch of $y=x^2-2x+1$

129.

Draw a sketch of $y=x^2-2x-3$

130.

Draw a sketch of $y=x^2+4x+2$

131.

If two shapes are (a) then one is an enlargement of the other.

If two shapes are (b) then they are exactly the same size.

Choose from the below words

similar

congruent

132.

For similar shapes, the ? factor tells us how many times bigger the larger shape is.

(a)

133.

If the new shape is (a) the size of the original, the scale factor is 2 .

If the new shape is three times the size of the original, the scale factor is (b)

Choose from the below words

two times

3

2

4

three times

134.

Shapes A and B are similar.

What is the scale factor from A to B?

(a)

135.

Shapes A and B are similar.

What is the scale factor from A to B?

(a)

136.

Shapes A and B are similar.

What is the scale factor from A to B?

137.

Shapes A and B are similar.

What is the value of $x$ ?

(a)

138.

Shapes A and B are similar.

What is the value of $x$ ?

(a)

139.

Shapes A and B are similar.

What is the value of $x$ ?

140.

Shapes A and B are similar.

What is the value of $x$ ?

(a)

141.

A fair 6-sided die is rolled. What is the probability of rolling a 4?

a)

$\frac{1}{3}$

b)

$\frac{1}{6}$

c)

$\frac{1}{4}$

d)

$\frac{1}{2}$

142.

What is the probability of flipping a fair coin and getting Heads?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{2}{3}$

d)

$\frac{3}{4}$

143.

In a bag of 7 red balls and 3 blue balls, what is the probability of drawing a blue ball?

a)

$\frac{3}{10}$

b)

$\frac{7}{10}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

144.

If a jar contains 2 green, 3 red, and 5 blue marbles, what is the probability of randomly selecting a red marble?

a)

$\frac{3}{10}$

b)

$\frac{2}{5}$

c)

$\frac{1}{2}$

d)

$\frac{3}{5}$

145.

A bag contains 4 white, 5 black, and 6 red balls. What is the probability of drawing a ball that is not black?

a)

$\frac{5}{15}$

b)

$\frac{11}{15}$

c)

$\frac{2}{3}$

d)

$\frac{1}{3}$

146.

What is the probability of drawing an ace from a standard deck of 52 playing cards?

a)

$\frac{1}{13}$

b)

$\frac{1}{52}$

c)

$\frac{4}{52}$

d)

$\frac{1}{26}$

147.

In a class of 20 students, 12 are boys and 8 are girls. What is the probability of randomly selecting a girl?

a)

$\frac{1}{2}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

$\frac{8}{12}$

148.

A box contains 3 red, 4 green, and 5 blue counters. If one counter is picked at random, what is the probability that it is either green or blue?

a)

$\frac{2}{3}$

b)

$\frac{3}{4}$

c)

$\frac{4}{5}$

d)

$\frac{9}{13}$

149.

What is the probability of selecting a red queen from a deck of 52 cards?

a)

$\frac{1}{13}$

b)

$\frac{4}{52}$

c)

$\frac{1}{12}$

d)

$\frac{1}{26}$

150.

If you roll a fair die, what is the probability of getting a number larger than 4?

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{1}{3}$

151.

A fair coin is flipped 60 times.

How many times would you expect the coin to land on Heads?

(a)

152.

A fair dice is rolled 30 times.

How many times would you expect the dice to land on 2 ?

(a)

153.

A coin is biased so that the probability it lands on Heads is $\frac{1}{3}$

The coin is flipped 24 times.

How many times would you expect the coin to land on Heads?

(a)

154.

The diagram shows a wheel with 4 sections.

The wheel is fair, so each number is equally likely to occur.

The wheel is spun 60 times.

How many times would you expect the wheel to land on 3?

(a)

155.

On any day in September, the probability that it rains in Edinburgh is $\frac{3}{5}$

On how many days would you expect it to rain in Edinburgh in September?

(a)

156.

On any day the probability that Jane is late for school is $0.3$

During a period of 10 days, on how many days would you expect Jane to be late to school?

(a)

157.

Every time Sam throws a dart, the probability it hits the bullseye is $0.15$

If Sam throws 200 darts, how many darts would you expect to hit the bullseye?

(a)

158.

A dice is biased so that the probability it lands on a six is $\frac{2}{7}$

The dice is rolled 35 times.

How many times would you expect the dice to land on a six?

(a)

159.

On average, the probability that a pupil will pass an entrance test is $35\%$

On a particular day, 80 pupils take the entrance test.

How many of the pupils would you expect to pass the test?

(a)

160.

A farmer takes a sample of 30 cows and finds that 12 of them are ill.

The farmer now takes another sample of 85 cows.

How many of these 85 cows would you expect to be ill?

(a)

161.

In a probability table, what is the total of all the probabilities?

(a)

162.

The probability table shows the outcomes of flipping a biased coin.

What is the probability of the coin landing on Tails?

(a)

163.

The probability table shows the outcomes for a football team playing a match.

What is the probability that the team loses a match?

(a)

164.

The probability table shows the outcomes for rolling a tetrahedral dice.

What is the probability that the dice lands on a 4?

(a)

165.

The probability table shows the outcomes of flipping a biased coin.

What is the probability of the coin landing on Tails?

166.

The probability table shows the outcomes for rolling a tetrahedral dice.

What is the value of $x$ ?

(a)

167.

The probability table shows the outcomes for a football team playing a match.

What is the value of $x$ ?

(a)

168.

A spinner has three sections labelled 1, 2 and 3.

The table shows the probabilities for the spinner.

What is the value of $x$ ?

(a)

169.

The probability table shows the outcomes for rolling a tetrahedral dice.

What is the value of $x$ ?

170.

The probability table shows the outcomes for David arriving at school.

The probability David is on time is double the probability that he is early.

The probability David is late is three times the probability that he is on time.

What is the value of $x$ ?

171.

What is a sample space?

a)

A room in a hospital where patients give samples.

b)

Part of the universe in a test tube.

c)

A list or diagram that shows all the possible outcomes of an event

d)

A single possible outcome of an event

172.

A fair coin is flipped twice.

How many possible outcomes are there?

(a)

173.

A fair coin is flipped twice.

What is the probability of getting Tails twice?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{1}{3}$

174.

A fair coin is flipped twice.

What is the probability of getting Heads once and Tails once (in any order)?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{1}{3}$

175.

When a tetrahedral dice is rolled it lands on 1, 2, 3 or 4.

A fair tetrahedral dice is rolled twice and the results are added.

How many possible outcomes are there?

(a)

176.

When a tetrahedral dice is rolled it lands on 1, 2, 3 or 4.

A fair tetrahedral dice is rolled twice and the results are added.

What is the probability of getting a score of 7?

a)

$\frac{2}{16}$

b)

$\frac{7}{16}$

c)

$\frac{1}{16}$

d)

$\frac{3}{16}$

177.

When a tetrahedral dice is rolled it lands on 1, 2, 3 or 4.

A fair tetrahedral dice is rolled twice and the results are added.

What is the probability of getting a score of 6?

178.

When a tetrahedral dice is rolled it lands on 1, 2, 3 or 4.

A fair tetrahedral dice is rolled twice and the results are added.

What is the most likely score?

(a)

179.

A fair dice is rolled twice and the results are added.

How many possible outcomes are there?

(a)

180.

A class contains 10 boys and 10 girls.

A boy is chosen at random and a girl is chosen at random.

How many possible outcomes are there?

(a)

181.

On a tree diagram,

the (a) are written at the ends of the branches,

the (b) are written above / below the branches.

Choose from the below words

outcomes

probabilities

182.

For any set of branches on a tree diagram, the probabilities must add up to what number?

(a)

183.

The diagram shows an incomplete set of branches of a tree diagram.

What is the missing number?

184.

The diagram shows an incomplete set of branches of a tree diagram.

What is the missing number?

185.

A coin is biased so that the probability it lands on Heads is $0.4$

The coin is flipped twice, the tree diagram shows the possible outcomes.

What calculation works out the probability the coin lands on Heads twice?

a)

$0.4\times0.4$

b)

$0.4+0.4$

c)

$0.4\times2$

d)

$0.4\div0.4$

186.

A coin is biased so that the probability it lands on Heads is $0.4$

The coin is flipped twice, the tree diagram shows the possible outcomes.

What is the probability the coin lands on Heads twice?

187.

A coin is biased so that the probability it lands on Heads is $0.4$

The coin is flipped twice, the tree diagram shows the possible outcomes.

What is the probability the coin lands on Tails twice?

188.

A coin is biased so that the probability it lands on Heads is $0.4$

The coin is flipped twice, the tree diagram shows the possible outcomes.

What is the probability the coin lands on Heads exactly once?

189.

A dice is biased so that the probability it lands on a six is $\frac{2}{7}$

The dice is rolled twice, the partly completed tree diagram shows some of the possible outcomes.

What is the probability the dice lands on a six twice?

190.

A dice is biased so that the probability it lands on a six is $\frac{2}{7}$

The dice is rolled twice, the partly completed tree diagram shows some of the possible outcomes.

What is the probability the dice lands on a six at least once?

191.

In a bag there are 5 red counters and 3 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

If the first counter was red, what is the probability the second counter is blue?

a)

$\frac{3}{8}$

b)

$\frac{3}{7}$

c)

$\frac{4}{7}$

d)

$\frac{2}{7}$

192.

In a bag there are 5 red counters and 3 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

If the first counter was red, what is the probability the second counter is also red?

a)

$\frac{5}{8}$

b)

$\frac{4}{7}$

c)

$\frac{4}{8}$

d)

$\frac{5}{7}$

193.

In a bag there are 5 red counters and 3 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

If the first counter was blue, what is the probability the second counter is also blue?

a)

$\frac{3}{8}$

b)

$\frac{2}{7}$

c)

$\frac{3}{7}$

d)

$\frac{2}{8}$

194.

In a bag there are 5 red counters and 3 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

Which calculation finds the probability that both counters are blue?

a)

$\frac{3}{8}\times\frac{2}{7}$

b)

$\frac{3}{8}\times\frac{3}{8}$

c)

$\frac{3}{8}\times\frac{2}{8}$

d)

$\frac{3}{8}+\frac{2}{7}$

195.

In a bag there are 5 red counters and 3 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

What is the probability that both counters are red?

196.

In a drawer there are 6 blue socks and 4 green socks.

A sock is chosen at rondom, is not replaced, then a second sock is chosen.

What is the probability that both socks are blue?

197.

In a drawer there are 6 blue socks and 4 green socks.

A sock is chosen at rondom, is not replaced, then a second sock is chosen.

What is the probability that both socks are green?

198.

In a drawer there are 6 blue socks and 4 green socks.

A sock is chosen at rondom, is not replaced, then a second sock is chosen.

What is the probability that the socks are different colours?

199.

In a bag there are 8 red counters and 7 blue counters.

A counter is chosen at rondom, is not replaced, then a second counter is chosen.

What is the probability that the counters chosen are different colours?

200.

In a bag there are 4 red counters and 8 blue counters. One counter is chosen at random from the bag, and is not replaced. This is repeated until three counters have been chosen. What is the probability that all 3 counters are red?

201.

What is the relative frequency of an event?

a)

It is a probability, based on results of an experiment

b)

It is how often the event happens

c)

It is the average number of times the event happens

d)

It is how many times the event meets up with its family

202.

In an experiment a coin is flipped 10 times.

The results are shown in the table.

What is the relative frequency of getting Tails?

203.

In an experiment a coin is flipped 10 times.

The results are shown in the table.

What is the relative frequency of getting Heads?

204.

A biased dice is rolled 60 times.

The results are shown in the table.

What is the relative frequency of a 4?

205.

A basketball player is practising penalty throws.

The player scores with 32 throws and misses with 18 throws.

Based on these results, what is the relative frequency of the player scoring from a penalty throw?

206.

During a season, a netball team won 12 matches, lost 6 matches and had 2 draws.

Based on these results, what is the relative frequency of the netball team winning a match?

207.

In an experiment a coin is flipped 100 times.

The results are shown in the table.

Do you think the coin is biased?

a)

Yes

b)

No

208.

In an experiment a 4-sided spinner is spun 100 times.

The results are shown in the table.

Do you think the spinner is biased?

a)

Yes

b)

No

209.

David rolls a dice and records how many times the dice lands on a six.

His results are shown in the table.

Which of the relative frequencies gives the best estimate for the probability of the dice landing on a six?

a)

$\frac{2}{5}$

b)

$\frac{1}{4}$

c)

$\frac{3}{10}$

d)

$\frac{11}{40}$

e)

$\frac{6}{25}$

210.

David rolls a dice and records how many times the dice lands on a six.

His results are shown in the table.

David flips the coin another 100 times.

How many times would you expect the dice to land on a six?

(a)

Unit 2 (all topics)

Total questions: 210

Worksheet time: 3hrs 50mins

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