High School

1. A student scored 18 out of 20 in a test. What is the percentage?

a) 80%
b) 85%
c) 90%
d) 95%

2. A bottle contains 2 liters of juice. 30% of it is orange juice. How much orange juice is there?

a) 0.3 L
b) 0.6 L
c) 1.2 L
d) 1.4 L

3. The population increased by 20%. If the original population was 2000, what is the new population?

a) 2200
b) 2400
c) 2600
d) 2800

4. What is the name of the distance from the center of a circle to any point on the circle?

a) Radius
b) Diameter
c) Chord
d) Arc

5. The diameter of a circle is twice the...

a) Chord
b) Radius
c) Arc
d) Sector

6. If the radius of a circle is 5 cm, what is its diameter?

a) 5 cm
b) 10 cm
c) 15 cm
d) 25 cm

7. If a circle has a diameter of 8 cm, what is its radius?

a) 2 cm
b) 4 cm
c) 6 cm
d) 8 cm

8. Jane buys 3 pens at $2 each and a notebook for $5. How much does she spend in total?

a) $6
b) $9
c) $11
d) $15

9. Sarah ate 2/5 of a cake. If the cake weighed 1 kg, how much did she eat?

a) 200 g
b) 300 g
c) 400 g
d) 500 g

10. A water tank holds 80 liters. It leaks 5 liters per hour. How much water is left after 6 hours?

a) 30 L
b) 40 L
c) 50 L
d) 60 L

11. Lisa read 3/8 of a book. If the book has 240 pages, how many pages did she read?

a) 90
b) 80
c) 70
d) 60

12. Which of the following is equivalent to 0.25?

A) 1/4
B) 3%
C) 3/10
D) 1/5

13. What percentage is equal to 3/5?

A) 30%
B) 50%
C) 60%
D) 75%

Answer :

Let's solve the questions step-by-step:

  1. To find the percentage of 18 out of 20, use the formula:
    [tex]\text{Percentage} = \left( \frac{\text{score}}{\text{total}} \right) \times 100 = \left( \frac{18}{20} \right) \times 100 = 90\%[/tex]
    The chosen option is c) 90%.

  2. 30% of 2 liters is calculated by:
    [tex]\text{Orange Juice} = 2 \times 0.30 = 0.6 \text{ L}[/tex]
    The chosen option is b) 0.6 L.

  3. A 20% increase on an original population of 2000 is:
    [tex]\text{New Population} = 2000 + 2000 \times 0.20 = 2000 + 400 = 2400[/tex]
    The chosen option is b) 2400.

  4. The distance from the center of a circle to any point on the circle is called the Radius.
    The chosen option is a) Radius.

  5. The diameter of a circle is twice the: Radius.
    The chosen option is b) Radius.

  6. If the radius of a circle is 5 cm, then its diameter is:
    [tex]\text{Diameter} = 2 \times \text{Radius} = 2 \times 5 = 10 \text{ cm}[/tex]
    The chosen option is b) 10 cm.

  7. If a circle has a diameter of 8 cm, its radius is:
    [tex]\text{Radius} = \frac{\text{Diameter}}{2} = \frac{8}{2} = 4 \text{ cm}[/tex]
    The chosen option is b) 4 cm.

  8. Jane buys 3 pens at $2 each and a notebook for $5:
    [tex]\text{Total Cost} = 3 \times 2 + 5 = 6 + 5 = 11 \text{ dollars}[/tex]
    The chosen option is c) $11.

  9. Sarah ate [tex]\frac{2}{5}[/tex] of a cake that weighed 1 kg:
    [tex]\text{Cake eaten} = \frac{2}{5} \times 1000 = 400 \text{ grams}[/tex]
    The chosen option is c) 400 g.

  10. A water tank holds 80 liters and leaks 5 liters per hour:
    [tex]\text{Water left after 6 hours} = 80 - (5 \times 6) = 80 - 30 = 50 \text{ L}[/tex]
    The chosen option is c) 50 L.

  11. Lisa read [tex]\frac{3}{8}[/tex] of a 240-page book:
    [tex]\text{Pages read} = \frac{3}{8} \times 240 = 90 \text{ pages}[/tex]
    The chosen option is a) 90.

  12. 0.25 is equivalent to:
    [tex]0.25 = \frac{1}{4}[/tex]
    The chosen option is A) 1/4.

  13. The fraction [tex]\frac{3}{5}[/tex] as a percentage is:
    [tex]\frac{3}{5} \times 100 = 60\%[/tex]
    The chosen option is C) 60%.