# Essentials and Mathematics grade 10 part 2

Subject: ; Class: ; with 30 questions; test in 45 minutes; update 04/07/2018
 Time 45 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Math test Update 04/07/2018 Class Grade 10 Number of questions 30 View 271 Tested 0

Question 1.

To rent a car at XYZ Car Rentals a customer pays a flat fee of 15 dollars plus 25 cents for each kilometre driven. Which of the following represents the total charged by XYZ Car Rentals where d represents distance travelled in kilometres and C represents total charged in dollars? (A) II only (B) III only (C) II and III only (D) I, II and III

Question 2.

The effectiveness of an anti-car theft program is measured each month. The graph represents the number of cars stolen over a period of 5 months.

What is the range of the graph? (A) { 0 to 5 } (B) { 2 to 80 } (C) { 0, 1, 2, 3, 4, 5 } (D) { 2, 5, 10, 20, 40, 80}

Question 3.

The fine for speeding, F, in dollars, depends on the speed, s, in kilometres per hour, over the posted speed limit. This can be expressed by the equation F (s) = 120 + 5s. If Tim paid a $330 fine after he was caught speeding in an 80 km/h speed zone, how fast was he driving?  (A) less than 90 km/h (B) between 90 and 110 km/h (C) between 110 and 130 km/h (D) over 130 km/h Question 4. Manjot is 10 km from home. He walks towards home at a constant speed of 2.5 km/h . Which equation best describes his distance from home?  (A) d = 2.5t + 10 (B) d = 2.5t - 10 (C) d = 10 + 2.5t (D) d = 10 - 2.5t Question 5. The total cost, C, in dollars, of holding a birthday party at a roller skating rink is represented by the function C(n) = 35 + 15n where n is the number of people attending the party. In this function, what does 35 represent?  (A) initial fee for roller skating rink (B) admission charge per person (C) food charge per person (D) total cost of party Question 6. The table represents the monthly salary of a boat salesperson. How much does the salesperson make for each boat sold?  (A)$125 (B) $250 (C)$350 (D) \$450

Question 7.

The graph represents the distance a diver is from the bottom of the lake over time.

How far from the bottom of the lake is the scuba diver at 3 min? (A) 60.00 feet (B) 56.25 feet (C) 33.75 feet (D) 7.73 feet

Question 8.

The diagram shows the wall of a room. What is the area of the wall (not including the door and the window)? (A) 8.5 m2 (B) 10.5 m2 (C) 14.0 m2 (D) 17.5 m2

Question 9.

What is the amount of material needed to cover a soccer ball with a diameter of 10 cm?

 (A) 314 cm2 (B) 524 cm2 (C) 1257 cm2 (D) 4189 cm2

Question 10.

What is the radius of a volleyball with a volume of 4849.0 cm3 ?

 (A) 34.0 cm (B) 16.9 cm (C) 12.7 cm (D) 10.5 cm

Question 11.

Ball A has a surface area of 12.57 cm2 . The surface area of Ball B is four times the surface area of Ball A. What is the radius of Ball B? (A) 2 cm (B) 4 cm (C) 8 cm (D) 16 cm

Question 12.

CB is twice the length of AB. The length of DB is 4.2 cm. What is the measure of $$\measuredangle$$x ?

 (A) 12.5° (B) 13.1° (C) 25.0° (D) 47.0°

Question 13.

Two guy wires support a tower of 25 m high. What is the total length of the two guy wires?

 (A) 31.73 m (B) 66.74 m (C) 98.46 m (D) 107.34 m

Question 14.

What value(s) of A will give sin A = 0.3907 , where A is between 0° and 180°?

 (A) 23° (B) 157° (C) 23° and 157° (D) 67° and 113°

Question 15.

Which method should be used to find side y ? (A) Sine Law (B) Cosine Law (C) Tangent Law (D) Pythagorean Theorem

Question 16.

f the dimensions of a cube are doubled, by what factor does the volume of the cube increase?

 (A) 8 (B) 6 (C) 3 (D) 2

Question 17.

Which of the following instruments would best measure the length of a football field?

 (A) metre stick (B) micrometer (C) 3-m tape measure (D) trundle wheel

Question 18.

Using a ruler, the distance from Vancouver to Vernon on a map measures 4.4 cm. What is the precision of the ruler?

 (A) 0.01 cm (B) 0.05 cm (C) 0.1 cm (D) 0.5 cm

Question 19. The volume of an empty ice-cream cone with a height of 14 cm is 234.6 cm3 . What is the volume of the spherical scoop of ice cream in the diagram?

 (A) 10 cm3 (B) 201 cm3 (C) 235 cm3 (D) 268 cm3

Question 20.

A square fence is to be built so that it is 2 m from the outside edge of a circular pool.

If the circumference of the pool is 70 m, what is the perimeter of the fence? (A) 54 m (B) 78 m (C) 105 m (D) 296 m

Question 21.

After 2 h a car is 185 km from Vancouver. After 5 h the car is 425 km from Vancouver.

What is the equation that represents this situation as graphed? (A) D = 80t (B) D = 80t + 25 (C) D = 0.8t + 25 (D) = 0.0125t - 0.3125

Question 22.

What is the equation of the line for this graph? (A) F = -0.25d + 50 (B) F = 0.25d + 50 (C) d = 4F + 50 (D) F = -4d + 50

Question 23.

The slope of the ramp is $${2\over 9}$$. If the height of the ramp is 1 m, how long is the base x ? (A) 0.22 m (B) 4.5 m (C) 4.61 m (D) 18 m

Question 24.

The graph shows the distance travelled over time. Using the graph, how long will it take to travel 1240 km? (A) 14.5 h (B) 15.0 h (C) 15.5 h (D) 20.5 h

Question 25.

Given the following points on a quadrilateral A(-2, -1) , B(7, 5), C(6, 0), D(0, -4). Which of the following statements is true? (A) I only (B) III only (C) I and III only (D) II and III only

Question 26.

Susan walks 110 m east, then 45 m north to locate a survey marker. Jerry walks 25 m west, then 130 m south to locate a different marker. If they started from the same spot, what is the shortest distance between the two markers?

 (A) 219 m (B) 221 m (C) 250 m (D) 251 m

Question 27.

A line segment has an endpoint at (-2, 16) and the midpoint at (3, 6) . What are the coordinates of the other endpoint?

 (A) (8, -4) (B) (-0.5, 11) (C) (11, -7) (D) (13, 1)

Question 28.

The table below represents the stopping distance of a ship when travelling at various speeds. Using linear regression, what is the speed of the ship if the stopping distance is 3.95 km?

 (A) under 17 km/h (B) 17–19 km/h (C) 19–21 km/h (D) over 21 km/h

Question 29.

A survey is conducted to determine how long people have lived in their homes. The city is divided into eight areas. If all people in one area are surveyed, what type of sampling method is used?

 (A) cluster (B) systematic (C) simple random (D) stratified random

Question 30.

The table below shows the number of snowboarders in BC and the number of snowboarding injuries in BC. (A) I only (B) II only (C) I and II (D) neither