1. Exam Revision Year 9

2. Number questions: Convert 0.56 to a fraction What is the square of 4? Round 3.4458 to 1 decimal place Show the use of BEDMAS in 3 – 4 × 5 Calculate 64% of $38 What percentage is 10minutes of 2 hours?

3. Number: Add/subtract/multiply/divide/BEDMAS: 2 4 (-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 ……..

4. Fractions/Decimals/Percentages Show working:

5. Fractions/Decimals/Percenatges Show working: If the large square is equal to 1whole, give the shaded portion as: A decimal ____________________ A percentage __________________ A fraction in its simplest form

6. Fractions/Decimals/Percentages Show working: 0.4 x 10 0.4 x 100 0.4 ÷ 10 0.4 ÷ 100 70% 0f 200 2.3% of $133 Show 32 out of 50 as ◦ A fraction ◦ A percentage ◦ A decimal

7. Fractions/Decimals/Percentages Ordering 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

8. Factors/Multples/Primes: Common multiples of 2 and 3 LCM of 2 and 5 Factors of 100 Common factors of 15 and 20 HCF of 6 and 8 Prime numbers between 20 and 30 Two prime numbers add to 75. What do you get when you multiply them?

9. 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?

10. 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

11. Number problem: The temperature of a bottle of water is 18 o C. The nbottle is placed in the freezer that cools the water at 5 degrees per hour. What is the temperature after 4 hours?

12. Algebra questions: Expand and simplify: 2(3x – 2) + 4(2x +3) Factorize: 3x 2 – 15xy Simplify: 2ab + 3b – 7ab + 5 Calculate the value of -3x 2 if x = -2 Solve for x: 5x + 2 = 16 – 2x Four 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 =

13. Algebra Solve for x 3x – 2 = 2x + 7 5 – 2x = -19 4(x – 4) = =12 Now 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?

14. Algebra Graph questions: Write down the rule for the following pattern: xy 15 27 39

15. Reading graphs: X 6x 5x + 4 5x

16. Reading graphs How many shelves had fewer than 21 books? How many shelves were included in the survey? How many shelves had exactly 30 books?

17. Geometry question: reflect

18. Parallel lines: Using the diagram below write down and give reasons for the size of the angles labelled a, b, c and d.

19. 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 16 Bea: 14 13 18 20 17 19 11 I wonder whether either Anna or Bea is the better goal shoot? Can you answer this?

20. 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 16 th boy weigh?

21. Statistics questions genderageheightrightfootarmspan girl1516025163 boy1315928162 girl1213920140 girl131582843 boy1417028170 girl1215522150 boy913821142 Formulate a “I wonder…..” question. Draw a graph. End with “I notice…”

22. Frequency tables: What is the relative frequency of receiving 3 texts per hour?

23. 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?

24. 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.