Exam RevisionYear 9

Number questions:Convert 0.56 to a fractionWhat is the square of 4?Round 3.4458 to 1 decimal placeShow the use of BEDMAS in 3 – 4

× 5Calculate 64% of $38What percentage is 10minutes of

2 hours?

Number:Add/subtract/multiply/divide/BEDMAS: 24

(-5)2

-3 + 2 + -4 -4 × -2 - -3 5 + 2 × -3 7 - -3 + 4 × 2 15 ÷ -3 + -2 4 – 3(2 + -3 × 2) 16 – 3 (4 – 7) 18 ÷ 3 – 1 21.4 x 15.2 The square root of 4 The cube root of 27 The square of 4 is ……. 8 is the cube of …… 5 squared is ……..

Fractions/Decimals/PercentagesShow working:

4

3

9

8)

9

4

12

5)

7

5

4

12)

5

1

3

2)

d

c

b

a

Fractions/Decimals/PercenatgesShow working:

If the large square is equal to 1whole, give the shaded portion as:

A decimal ____________________

A percentage __________________

A fraction in its simplest form 

Fractions/Decimals/PercentagesShow working:0.4 x 100.4 x 1000.4 ÷ 100.4 ÷ 10070% 0f 2002.3% of $133Show 32 out of 50 as

◦A fraction◦A percentage◦A decimal

Fractions/Decimals/PercentagesOrdering numbers from smallest to largest:

½, 0.33, 30%, 1.7, 25/20, 121%

13.4, 14.3, 3.44, 4.43, 3.3

1/3, ¼, 2/3, 6/7, 7/6, 4/7

Factors/Multples/Primes:Common multiples of 2 and 3LCM of 2 and 5Factors of 100Common factors of 15 and 20HCF of 6 and 8Prime numbers between 20 and

30Two prime numbers add to 75.

What do you get when you multiply them?

Number problem:A pizza is divided as follows: Jane

gets 1/8, Sue gets 3/40, and ½ is packed away for the next day. If the boys ate the rest, what fraction did they eat? Show working.

If the pizza weighed 850g, what was the weight of the pizza that the boys ate?

Number problem:A person intending to buy a

house banked $240 per week for 5 years. How much extra money would they have to borrow to buy a house valued at $286,000

Number problem:The temperature of a bottle of

water is 18oC. The nbottle is placed in the freezer that cools the water at 5 degrees per hour. What is the temperature after 4 hours?

Algebra questions:Expand and simplify: 2(3x – 2) + 4(2x

+3)Factorize: 3x2 – 15xySimplify: 2ab + 3b – 7ab + 5Calculate the value of -3x2 if x = -2Solve for x: 5x + 2 = 16 – 2xFour less than a certain number is half

the number. What is the number?2 × f × 2 × f × f × f = 2 + f + 2 + f + f + f =

AlgebraSolve for x3x – 2 = 2x + 75 – 2x = -194(x – 4) = =12Now John is 2 years younger than his sister

Mary. 8 years ago, Mary was twice John’s age. How old are they now?

Mr and Mrs Smith take their 3 children and their 4 elderly parents to the zoo. An adult ticket is 5 times that of a child’s ticket, and a senior citizen’s ticket is half the price of an adult ticket. If they pay $46 for all the tickets, how much is a child’s ticket?

AlgebraGraph questions:Write down the rule for the

following pattern:

x y

1 5

2 7

3 9

Reading graphs:• The area of the triangle below is 90cm2

• One side is metres long, another side is metres long and the third side is 4 metres long.

• The height is 5x metres long. • Write an equation for the area of the triangle and solve for x.• Write an equation for the total distance around the triangle .• What is the length of each side of the triangle?

X

6 x

5x +

4

5x

Reading graphsBooks on Library Shelves

2

4

6

8

10

12

14

1-10 11-20 21-30 31-40 41-50 51-60

How many shelves had fewer than 21 books?

How many shelves were included in the survey?

How many shelves had exactly 30 books?

Geometry question: reflect

Parallel lines:Using the diagram below write

down and give reasons for the size of the angles labelled a, b, c and d.

c

ba

aa

da

10o 48o

118o

28o

Statistics:Anna and Bea both play goal shoot for their

netball teams. The data below gives the number of goals these girls have shot in matches.

 Anna: 12 15 10 14 13 21 12 9 17 16Bea: 14 13 18 20 17 19 11 I wonder whether either Anna or Bea is the

better goal shoot?Can you answer this? 

Statistics questions:Calculate the mean, median and mode of

the following set of numbers:3 5 8 8 5 7 8 3 5 8 2 8 5 7 8 What is the probability that a student

chosen at random will have a birthday on a Sunday?

If a family has 2 children, what is the chance that both children are girls?

The mean weight of 15 boys in a rugby team was 63 kg. A sixteenth boy joined the team and the mean weight increased to 64 kg. How much did the 16th boy weigh?

Statistics questions

gender age height rightfoot armspangirl 15 160 25 163boy 13 159 28 162girl 12 139 20 140girl 13 158 28 43boy 14 170 28 170girl 12 155 22 150boy 9 138 21 142

Formulate a “I wonder…..” question.Draw a graph.End with “I notice…”

Frequency tables:The figures below give the number of texts the

Jan received each hour at Saturday. 7 , 3 , 3 , 7 , 4 , 6 , 3 , 3 , 7 , 7, 4 , 7 , 6 , 3 (i) Complete this frequency table:

Texts received per hour

Tally Frequency

3

4

5

6

7

What is the relative frequency of receiving 3 texts per hour?

Probability questions: In a bag of 13 red beans and 5 black beans, what is

the probability of choosing 2 black beans in a row if your eyes are closed?

Draw a tree diagram to show all the possibilities when you choose two beans with your eyes closed.

Metal discs are placed in a bag in a ratio such that red : white : blue = 3 : 4 : 5 One disc is drawn out of the bag at random. What

is the probability that it is red?All of the hearts from a pack of 52 playing cards are

taken and shuffled. What is the probability that one card chosen at random is a number less than 9?

Probability:Put these events in the order of likelihood.

Put the least likely first. 1. Getting a head when a coin is tossed.2. The sun will set tonight.3. Getting two heads when two coins are

tossed together.4. The next person you speak to will

have the same birth date as you.5. A cup will break when dropped on the

kitchen floor.