Y9 Practice Mathematics Exam PDF

Y9 PRACTICE MATHEMATICS EXAM Number /15 Algebra /10 Geometry /10 Measurement /15 Probability /10 Graphing /15 TOTAL: /75 NUMBER 1. Round 4735 to the nearest thousand 2. Round 13.89 to 1 decimal place 3. 753 − 128 = 4....

Y9 PRACTICE MATHEMATICS EXAM Number /15 Algebra /10 Geometry /10 Measurement /15 Probability /10 Graphing /15 TOTAL: /75 NUMBER 1. Round 4735 to the nearest thousand 2. Round 13.89 to 1 decimal place 3. 753 − 128 = 4. 470 x 100 = 5. What digit is in the hundredths column of 8124. 5736 6. $88 + $2. 75 − $0. 8 = 7. 7. 2 x 0. 04 = 8. Convert 2 to an improper fraction 25  4 1 9. 9+ 3= 10. Write 70% as a fraction in its simplest form 11. What is 15% of 70? 12. 6 − 9 = 13. − 4 + 7 − − 2 = 14. 7 + 3 x 8 = 15. 3 x (17 − 12) = BASIC & LINEAR ALGEBRA 1. Simplify: 9 2+ 3 + 2 2 − 5 3 4 2. Simplify: x 28 2 3. Simplify: 5 7 3 4. Expand and simplify: 4( + 3) + 6( + 2) 5. Factorise: 4 + 8 6. If = 3, = 5, and = − 2, then evaluate the expression 7. Solve: 2 + 8 = 32 8. Solve: + 7 = 4 − 5 9. Write an expression for three times a number plus 4 10. A scalene triangle has sides of all different lengths. The first side is 3 cm longer than the second. The third side is 2 cm longer than the second. If the perimeter of the triangle is 80cm, what are the three side lengths? GEOMETRY 1. Give the unknown angles and give the geometric reasoning 2. What does this 3D shape look like from the:  a) Top b) Front c) Right 3. Draw a net of this shape MEASUREMENT 1. Convert: a) 380 m to km b) 7.5 g to mg c) 4.8 L to ml d) 300 seconds to minutes e) 8.5 ha to 2 2. A door has the following dimensions a) What is the perimeter? b) What is the area?  c) If a tin of paint covers 3.5 , will it cover both sides of the door? 2 3. Patricia is putting a round pool in her backyard. She wants a round fence around it, and a deck between the pool and the fence. Use 3 for π a) The pool has a diameter of 8m. If Patricia buys a cover for the pool what will its area need to be? b) If the pool is 1.4 metres deep, what is its volume? c) The fence will be 2 metres away from the pool all the way around the deck. How long will the fence be? d) What will the area of the deck be? PROBABILITY 1. A bag contains four black marbles and six white marbles. a) What is the probability that a random draw will be a black marble? b) What is the probability that a random draw will be a red marble? 2. Mark likes takeaways. During the last month this is what he ate for dinner. a) For a random day in the month, what is the probability that he had pizza? b) On any day of the month, what is the probability that he had KFC? c) If he didn’t eat Subway, what is the probability that he had pizza?  3. Information was collected about Social Science subjects taken by year 11 students. a) What is the probability that a randomly selected student does Geography? b) What is the probability that an economics student is a boy? 4. A restaurant offers a fixed menu with two choices of a starter (Soup or Mussels), four choices of a main course (Fish, Beef, Chicken or Vegetarian), and three choices of dessert (Sorbet, Gateau or Cake). Draw a tree diagram to represent this information a) How many different variations of meals are possible if you take one starter, one main and one dessert?  b) What is the possibility that a random meal will have Mussels but not Sorbet? c) What is the probability that choosing a meal randomly will give at least one of Fish and Soup? GRAPHING 1. A pattern is made of horizontal and vertical lines. a) Complete the table b) Write a rule linking and H 2. On the axis graph the following lines a) = 7 b) = − 2 c) =52 − 1 3. Write the equations for these lines a) _______________________________ b) _______________________________ c) _____________________________ 4. This graph shows the amount of water in a rain water tank after some days. a) The tank fills when it rains. How many days did it rain for? b) How fast did the tank fill when it rained? c) What is the equation of the line when the tank is losing water?