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IBPD 1 'PK' PPT

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

1. A car rental company charges a fixed fee of $50 plus $25 per day for renting a car. Write an equation that represents the total cost, C, for renting a car for d days.

a)

C = 50d

b)

C = 25d + 50

c)

C = 50d + 25

d)

C = 25d

2.
  1. 2. The probability of winning a game is 0.25. How many times would you expect to win if you played the game 20 times?

a)

2

b)

5

c)

8

d)

10

3.
  1. 3. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. If the radius of a cylinder is doubled and the height is tripled, how does the new volume compare to the original volume?

a)
  1. It is 6 times larger.

b)
  1. It is 3 times larger.

c)
  1. It is 12 times larger.

d)
  1. It is the same.

4.

Leonardo has a few pets. All but 2 are cats, all but 2 are dogs, and all but 2 are hamsters. How many pets does Leonardo have in total?

a)

6

b)

4

c)

9

d)

3

5.

A recipe calls for 2 cups of flour to make 12 muffins. How many cups are needed to make 30 muffins?

a)

8 cups

b)

5 cups

c)

6 cups

d)

3 cups

6.

The population of a town is 20,000. If the population decreases by 5% each year, what will be the population after 4 years?

a)

16000

b)

17000

c)

18000

d)

17800

7.

Match of the following functions is incorrectly matched.

a)

y=k

b)

y=kx

c)

y=x^2

d)

y=-x^2

e)

y=-x^3

8.

The sum of the ages of a father and his son is 36 years. Five years ago, the father was four times as old as his son. What are their present ages?

a)

Father: 28 years, Son: 8 years

b)

Father: 32 years, Son: 4 years

c)

Father: 31 years, Son: 5 years

d)

Father: 24 years, Son: 12 years

9.

A manufacturing company conducted a quality control inspection on a batch of 200 smartphones. The results of the inspection are as follows:

  • 140 smartphones passed the quality control.

  • Out of the smartphones that failed the quality control, 30 had battery issues, while the remaining had software issues.

Based on the information given, answer the following question:

What percentage of smartphones in the batch had software issues?

a)

15%

b)

20%

c)

12%

d)

30%

10.

A survey was conducted among 150 students to determine their extracurricular activities. The results are as follows:

  • 🔷80 students participate in music.

  • 🔷60 students participate in sports.

  • 🔷30 students participate in both music and sports.

Based on the information given, answer the following question:

How many students participate in either music or sports?

a)

120

b)

110

c)

130

d)

150

11.

A rectangular garden measures 10 meters by 15 meters. The owner wants to install a pathway around the garden that is 2 meters wide. What is the total area of the pathway?

a)

60 m2

b)

80 m2

c)

106 m2

d)

116 m2

12.

A person measures the angle of elevation to the top of a tower to be 45 degrees. They then walk 50 meters closer to the tower and measure the angle of elevation to be 60 degrees. Determine the height of the tower.

a)

50

b)

75

c)

100

d)

125

13.

A contractor can complete a construction project in 12 days by working 8 hours per day. How many days will it take to complete the project if the contractor works 16 hours per day?

a)

5 days

b)

4 days

c)

7 days

d)

6 days

14.

In one hour, a boat goes 13 km/hr in the direction of the stream and 7 km/hr against the direction of the stream. What will be the speed of the boat in still water?

a)

8 km/hr

b)

10 km/hr

c)

14 km/hr

d)

6 km/hr

15.

Pick the correct option to fill in the blanks:

Point of concurrence of altitudes of the sides of a triangle is called as......

a)

Incenter

b)

Orthocenter

c)

Centroid

d)

Circumcenter

16.

If the area of a rectangle is 84 sq units and the longer side is 5 units more than the shorter side. Find the length of both sides.

a)

5 & 14 units

b)

7 & 12 units

c)

-12 and -7 units

d)

21 & 4 units

17.

Mean of 100 items is 49. It was discovered that three items which should have been 60, 70 and 80, were wrongly read as 40, 20 and 50 respectively. The correct mean is :

a)

48

b)

49

c)

50

d)

60

18.

Evaluate : 23^2 - 17^2

a)

240

b)

340

c)

220

d)

230

19.

Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2.

a)

15 cm

b)

12 cm

c)

18 cm

d)

14 cm

20.

In the adjoining figure, find the area of the shaded region ?

a)

300- 100 π

b)

400-100 π

c)

50 - 60 π

d)

400 - 200 π