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Test: Ratio & Proportion - 2 - JAMB MCQ


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10 Questions MCQ Test Mathematics for JAMB - Test: Ratio & Proportion - 2

Test: Ratio & Proportion - 2 for JAMB 2024 is part of Mathematics for JAMB preparation. The Test: Ratio & Proportion - 2 questions and answers have been prepared according to the JAMB exam syllabus.The Test: Ratio & Proportion - 2 MCQs are made for JAMB 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Ratio & Proportion - 2 below.
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Test: Ratio & Proportion - 2 - Question 1

If the ratio of the length to the width of a rectangle is 5:2, and the area of the rectangle is 560 square units, what is the length of the rectangle?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 1

Let the length be 5x and the width be 2x.
Area = length × width, so 560
= 5x × 2x.
Solving for x, we get x = 8.
The length is 5x = 5(8) = 40 units.

Test: Ratio & Proportion - 2 - Question 2

The ratio of the number of boys to girls in a class is 3:4. If there are 28 students in the class, how many girls are in the class?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 2

Let the number of boys be 3x and the number of girls be 4x.
Then, 3x + 4x = 28.
Solving for x, we get x = 4.
The number of girls is 4x = 4(4) = 16.

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Test: Ratio & Proportion - 2 - Question 3

The ratio of two numbers is 3:4. If their sum is 35, then what is the smaller number?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 3

Let the smaller number be 3x and the larger number be 4x.
Then, 3x + 4x = 35.
Solving for x, we get x = 5.
The smaller number is 3x = 3(5)
= 15.

Test: Ratio & Proportion - 2 - Question 4

If the ratio of the angles of a triangle is 1:2:3, what is the measure of the smallest angle?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 4

Since the ratio of the angles is 1:2:3, the angles are x, 2x, and 3x.
The sum of the angles in a triangle is 180 degrees,
so x + 2x + 3x = 180.
Solving for x, we get x = 30.
The smallest angle is x = 30 degrees.

Test: Ratio & Proportion - 2 - Question 5

The ratio of the number of pages Jane read to the number of pages she has left to read is 3:5. If Jane has 40 pages left to read, how many pages did she read?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 5

Let the number of pages Jane read be 3x and the number of pages she has left to read be 5x.
Then, 5x = 40.
Solving for x, we get x = 8.
The number of pages Jane read is 3x = 3(8) = 24.

Test: Ratio & Proportion - 2 - Question 6

The ratio of the number of pencils to the number of erasers in a box is 5:3. If there are 20 pencils in the box, how many erasers are there?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 6

Let the number of erasers be 3x.
Then, 5x = 20. Solving for x,
we get x = 4.
The number of erasers is 3x = 3(4)
= 12.

Test: Ratio & Proportion - 2 - Question 7

The ratio of the amount of money in a bank account at the beginning of the month to the amount at the end of the month is 4:5. If the amount of money in the account at the end of the month is ₦450, how much money was there at the beginning of the month?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 7

Let the amount of money at the beginning of the month be 4x and the amount at the end of the month be 5x. Then, 5x = ₦450.
Solving for x, we get x = ₦90.
The amount at the beginning of the month is 4x = 4(₦90)
= ₦360.

Test: Ratio & Proportion - 2 - Question 8

If the ratio of the number of hours a student spends studying to the number of hours spent sleeping is 3:7, and the student spends 42 hours sleeping, how many hours does the student spend studying?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 8

Let the number of hours spent studying be 3x.
Then, 7x = 42.
Solving for x, we get x = 6.
The number of hours spent studying is 3x = 3(6)
= 18.

Test: Ratio & Proportion - 2 - Question 9

The ratio of the number of apples to oranges in a fruit basket is 2:3. If there are 10 apples in the basket, how many oranges are there?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 9

Let the number of oranges be 3x.
Then, 2x = 10.
Solving for x, we get x = 5.
The number of oranges is 3x = 3(5)
= 15.

Test: Ratio & Proportion - 2 - Question 10

The ratio of a father's age to his son's age is 5:1. If the sum of their ages is 72, how old is the son?

Detailed Solution for Test: Ratio & Proportion - 2 - Question 10

Let the father's age be 5x and the son's age be x.
Then, 5x + x = 72.
Solving for x, we get x = 12.
The son's age is x = 12 years.

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