High School

1. Which of the following is a conversion factor?

A. 2 hours
B. 100 cm
C. 1000 gm
D. 1000 m

2. Which point lies on the y-axis?

A. (5,0)
B. (-5,0)
C. (0,4)
D. (-2,-2)

3. Calculate: 1 - 75%

A. 25
B. 25%
C. 75%
D. 0.75

4. If 5:7 = x:14, what is the value of x?

A. 10
B. 14
C. 17
D. 15

5. What is the sum of 72.3 + 0.01?

A. 7230
B. 723
C. 7.23
D. 72.3

6. What is the area of a rhombus with a side length of 7 cm and a height of 5 cm?

A. 11 cm²
B. 12 cm²
C. 35 cm²
D. 56 cm²

7. What is the volume of a cuboid with dimensions 3 cm, 4 cm, and 5 cm?

A. 60 cm³
B. 12 cm³
C. 35 cm³
D. 56 cm³

8. What is the x-coordinate of the ordered pair (3,-2)?

A. -3
B. 5
C. -2
D. 3

Answer the following questions:

1. Sara got 45 marks out of 50 in an exam. Find the percentage of her marks.

2. If the ratio between the number of boys and the number of girls is 3:4 and the number of boys is 15, find the number of girls.

Answer :

Let's go through each question one by one:

  1. 1 kg is a conversion factor:
    • A. 2 hours
    • B. 100 cm
    • C. 1000 gm
    • D. 1000 m

The correct answer is C. 1000 gm. One kilogram (kg) is equal to 1000 grams (gm).

  1. The point lies on the y-axis:
    • A. (5,0)
    • B. (-5,0)
    • C. (0,4)
    • D. (-2,-2)

The correct answer is C. (0,4). A point lies on the y-axis if its x-coordinate is 0.

  1. 1 - 75% =
    • A. 25
    • B. 25%
    • C. 75
    • D. 0.75

The correct answer is B. 25%. 75% is the same as 0.75 in decimal, so 1 - 0.75 = 0.25, which is 25%.

  1. If 5:7 = x:14, then x =
    • A. 10
    • B. 14
    • C. 17
    • D. 15

To solve this, we can use a proportion: [tex]\frac{5}{7} = \frac{x}{14}[/tex]. Cross-multiplying gives [tex]5 \times 14 = 7x[/tex]. Simplifying, [tex]x = \frac{70}{7} = 10[/tex]. So, the correct answer is A. 10.

  1. 72.3 + 0.01 =
    • A. 7230
    • B. 723
    • C. 7.23
    • D. 72.3

The correct answer is D. 72.3. Adding 0.01 to 72.3 gives 72.31, which is the same as D in terms of significant figures.

  1. Area of a rhombus with side length 7 cm and height 5 cm:
    • A. 11
    • B. 12
    • C. 35
    • D. 56

The area of a rhombus can be calculated by the formula: Area = base [tex]\times[/tex] height. So, the area = 7 cm [tex]\times[/tex] 5 cm = 35 cm². Thus, the correct answer is C. 35.

  1. Volume of a cuboid with dimensions 3 cm, 4 cm, and 5 cm:
    • A. 60
    • B. 12
    • C. 35
    • D. 56

The volume of a cuboid is calculated by multiplying its length, width, and height. So, the volume = 3 cm [tex]\times[/tex] 4 cm [tex]\times[/tex] 5 cm = 60 cm³. So, the correct answer is A. 60.

  1. The x coordinate of the ordered pair (3, -2) is:
    • A. -3
    • B. 5
    • C. -2
    • D. 3

The correct answer is D. 3. In the ordered pair [tex](3, -2)[/tex], the x-coordinate is 3.

Additional Questions:

  1. Sara got 45 marks out of 50 in the exam. Find the percentage of her marks.

    Percentage can be calculated as:
    [tex]= \left( \frac{\text{Marks obtained}}{\text{Total marks}} \right) \times 100\% = \left( \frac{45}{50} \right) \times 100\% = 90\%[/tex].

    So, Sara's percentage is 90%.

  2. The ratio between the number of boys and girls is 3:4. If the number of boys is 15, find the number of girls.

    Given ratio of boys to girls = 3:4. The number of boys = 15, so each part of the ratio is equivalent to 15 / 3 = 5. Therefore, the number of girls = 4 [tex]\times 5 = 20[/tex].

Other Questions