2. A square has a side length of 9 mm. What is the area of the square? A 18 mm² B 36 mm² C 49 mm² D 81 mm²

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1 Chapter 3 Test. BLM For #1 to #5, select the best answer. 1. Which number is not a perfect square? A 9 B 16 C 55 D A square has a side length of 9 mm. What is the area of the square? A 18 mm² B 36 mm² C 49 mm² D 81 mm² 3. The square root of 63 is closest to which whole number? A 5 B 6 C 7 D 8 4. What is the side length of the square in the diagram? A 5 cm B 6 cm C 9 cm D 12 cm 5. What is the area of the shaded square? A 25 cm² B 36 cm² C 49 cm² D 60 cm² Short Answer 6. What is the area of a square with the following side length? a) 8 cm b) 11 m c) 50 mm d) 13 cm 7. Find the value of the missing side length, to the nearest tenth of a millimetre. 8. Is a triangle with side lengths measuring 8 m, 6 m, and 10 m a right triangle? Show all of your work, and explain your reasoning.

2 . BLM (continued) 9. How long is the ladder to the nearest tenth of a metre? 10. Estimate the square root of the following numbers, to the nearest tenth. Show your thinking. a) 39 b) 137 c) 175 d) In your own words, describe what the formula c² = a² + b² tells about the relationship among the sides in a right triangle. Extended Response 12. Two cars leave A at the same time. Martin s car travels directly from A to C at a constant rate of 80 km/h. Kathleen s car travels from A to B at a constant rate of 100 km/hour, and then continues to C at a constant rate of 90 km/h. a) Who will arrive at C first? b) How many minutes later will the second person arrive? 13. Carpenters are checking to see if two walls meet in a corner to form a 90º angle. They measure 3 m from the corner along one wall to point A and 4 m from the corner along the other wall to point B. a) If the angle is 90º, what is the distance from A to B? b) Why do you think it is important for the two walls to create a 90º angle? 14. Can a perfect square less than 1000 ever have a last digit that is 2, 3, 7, or 8? If your answer is no, explain why it is not possible. If your answer is yes, justify your answer and provide an example.

3 Chapter 9 Test. BLM For #1 to #5, select the best answer. 1. Which word describes y = x + 2? A constant B equation C expression D variable 2. The table shows the number of lug nuts in relation to the number of tires. Which equation represents the linear relation? A n = t + 5 B t = n + 5 C n = 5t D t = 5n Tires (t) Lug Nuts (n) Which table of values represents the graph shown? A B C D x y x y x y x y Which table of values represents the linear relation represented by the equation y = 2x 3? A B C D x y x y x y x y

4 . BLM (continued) 5. Which equation represents the graph shown? A y = 3 x B y = x 3 C y = 2x 6 D y = 3x 9 Short Answer 6. Copy and complete the following tables. a) b) c) d) y = 4 x y = x + 5 y = 2x X y x y x y x y a) Draw and label a graph of the equation y = 3x 2, for x = 1, 2, 3, and 4. b) Is it a linear relation? Use two ways to explain your answer. Extended Response 8. Tina began riding her all-terrain vehicle (ATV). After 5 s, her speed was 10 km/h. After 10 s, her speed was 25 km/h. After 15 s, her speed was 30 km/h. After 20 s, her speed was 35 km/h. a) Make a table of values that represents Tina s ATV ride. b) Graph the table of values. c) Is there a linear relation between time and speed during Tina s ATV ride? Explain. d) What must happen for there to be a linear relation between time and speed?

5 Chapter 10 Test. BLM For #1 to #5, select the best answer. 1. What is the result of applying the distributive property to 3(a + 2)? A 3a 2 B 3a + 2 C 3a 6 D 3a What is the opposite operation of addition? A addition B subtraction C multiplication D division 3. For which of the equations would you add 12 as the first step in the solution? A 2(m 12) = 3 B 14 = 12 x C 13 = y 12 D 12w 5 = 7 4. For which of the equations would you divide by 3 as the first step in the solution? A 15 = 3h B 4m 3 = 5 C 2a 1 = 3 D 3 x = 7 5. Which equation is modelled by this diagram? A m = 4 B 13 = 3m + 4 C 13 = 3m 4 D 13 3m = 4 Short Answer 6. Solve. a) x + 2 = 7 c) 24 = 2a m e) = 3 5 g) 17 = 5 + h a b) = 8 4 d) 4y = 16 n f) 9 = --7 h) 5k = 30

6 . BLM (continued) 7. Solve. Check your answers. a) 3x + 2 = 11 c) 16 = 5a 6 e) 14 = 2(n 6) b) 4 = 3 m 1 d) 3(c + 5) = 12 f) 4 8 x = 7 8. a) Draw a diagram that models the equation 7 = 5x 3. b) What is the solution to this equation? 9. Lisa is 6 years older than twice her sister's age. Lisa is 12. Write and then solve an equation to determine the age of Lisa's sister. 10. a) Solve for x in the equation x + 9 = 16. b) Use the value of x to find y in the equation 11 = y x. c) Use the values of x and y to find m in the equation 2m + y = 3(x 5). Extended Response 11. a) What is wrong with the method used to solve the following equation? x 2 = = x 13 = 3 x 39 = x b) What is the correct method?

7 Chapter 5 Test. BLM For #1 to #5, choose the best answer. 1. What is the name of the following shape? A cube B cylinder C rectangular prism D triangular prism 2. The diameter and height of a cylinder are each 2 cm. What is the surface area of the cylinder to the nearest hundredth of a square centimetre? A cm² B cm² C cm² D cm² 3. What 3-D object has a net like this one? A cube B cylinder C rectangular prism D triangular prism 4. What is the surface area of this box? A 208 mm² B 296 mm² C 416 mm² D 832 mm² 5. What is the length of one side of a cube whose surface area is 600 cm²? A 10 cm B 15 cm C 20 cm D 60 cm Short Answer 6. An object may have more than one net. Draw two different nets for this triangular prism.

8 . BLM (continued) 7. Calculate the surface area of the rectangular prism to the nearest tenth of a square centimetre. 8. Calculate the surface area of the cylinder to the nearest tenth of a square centimetre. Extended Response 9. You are designing a covered container in the shape of a rectangular prism for 24 hockey pucks. Each puck has a diameter of 7.6 cm and a height of 2.5 cm. a) Design two different containers and calculate the surface area of each one. b) Which container would you choose to build? Justify your choice. 10. Jon wants to remodel his bedroom. It has a length of 4.2 m, a width of 3.7 m, and a height of 2.5 m. How much will it cost to paint the ceiling and walls, as well as carpet the floor? The paint he chooses costs $17 per litre. One litre covers 20 m². The carpet he chooses costs $34 per m².

9 Chapter 7 Test. BLM For #1 to #5, choose the best answer. 1. Which units can be used to express volume? A cm² B dm² C km³ D m 2. What is the volume of a right prism with a base area of 4.6 cm² and a height of 9.3 cm? A 13.9 cm³ B 18.5 cm³ C cm³ D cm³ 3. What is the volume of this right cylinder? A m³ B m³ C m³ D m³ 4. What is the height of a triangular prism with a volume of 96 cm³ and this triangular base? A 4 cm B 6 cm C 8 cm D 16 cm 5. What is the volume of a cube with an edge length of 2.3 m? A 12.2 m³ B 24.3 m³ C 36.5 m³ D 48.7 m³ Short Answer 6. Calculate a) the area of the base of a rectangular prism with a triangle height of 8 m and a triangle base of 2 m b) the volume of a right cylinder with a radius of 6 mm and a height of 5 mm c) the volume of a cube with an edge length of 6 cm d) the volume of a right rectangular prism with dimensions 8.1 cm 5.3 cm 10 cm e) the area of the base of a right cylinder with a radius of 5 m f) the height of a cube with a volume of 343 cm 3 and a base area of 49 cm 2 g) the area of the base of a right triangular prism with a volume of km 3 and a height of 8.5 km

10 . BLM (continued) 7. What is the volume of this right rectangular prism? 8. Lee placed three ice cubes with edge lengths of 2 cm in this glass. What volume of juice will he add to fill the glass to the top? 9. The inside of a freezer has a volume of 3.5 m³. What is the volume of the space left in the freezer after 120 boxes of these frozen treats are placed in it? 10. Jared fills this right cylinder barrel half-full of water. a) What is the volume of the water in the barrel? b) If 1 m 3 = cm 3, how many m 3 is the volume of water in the barrel? Round your answer to two decimal places. Extended Response 11. What is the volume of this right rectangular prism shape? Round your answer to two decimal places.