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Question (1)

QN0030033

A rectangular garden is 3½ m long and 2 2/7 m wide. What is its area?

(A) 7½ m²
(B) 8 m²
(C) 9 m²
(D) 10 m²

Correct Answer: B

Explanation:

Convert the mixed fractions to improper fractions: 3½ = 7/2 and 2 2/7 = 16/7. Their product is (7/2 × 16/7) = 8 m².

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Question (2)

QN0030034

Which of the following statements is always true?

(A) The product of two fractions is always greater than both fractions.
(B) The product of two fractions less than 1 is less than each of them.
(C) Multiplying by a fraction always increases the number.
(D) Dividing by a fraction less than 1 always decreases the number.

Correct Answer: B

Explanation:

When both fractions are between 0 and 1, their product is less than each of the fractions.

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Question (3)

QN0030035

A machine fills 4/5 of a water tank in 1 hour. How much of the tank will it fill in 3/8 hour?

(A) 3/10
(B) 2/5
(C) 1/5
(D) 7/20

Correct Answer: A

Explanation:

Required part = 4/5 × 3/8 = 12/40 = 3/10.

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Question (4)

QN0030036

A rope is 6½ m long. It is cut into pieces of length 1/4 m each. How many pieces are obtained?

(A) 24
(B) 25
(C) 26
(D) 28

Correct Answer: C

Explanation:

Number of pieces = 6½ ÷ 1/4 = 13/2 × 4 = 26.

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Question (5)

QN0030037

Which fraction is the reciprocal of 2 1/3?

(A) 2/3
(B) 3/7
(C) 7/3
(D) 1/3

Correct Answer: B

Explanation:

2 1/3 = 7/3. Its reciprocal is 3/7.

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Question (6)

QN0030038

A cyclist travels 18 km in 1 hour. How far will he travel in 5/6 hour?

(A) 14 km
(B) 15 km
(C) 16 km
(D) 17 km

Correct Answer: B

Explanation:

Distance = 18 × 5/6 = 15 km.

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Question (7)

QN0030039

Evaluate 15/28 × 14/25.

(A) 1/5
(B) 3/10
(C) 2/5
(D) 1/2

Correct Answer: B

Explanation:

Cancel common factors: 15/28 × 14/25 = 3/5 × 1/2 = 3/10.

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Question (8)

QN0030040

A baker uses 3/4 kg flour for one tray of cookies. If he has 6 kg flour, how many trays can he prepare completely?

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

Number of trays = 6 ÷ 3/4 = 6 × 4/3 = 8.

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Question (9)

QN0030041

If one number is greater than 1 and the other number is between 0 and 1, then their product is

(A) greater than both numbers
(B) smaller than both numbers
(C) greater than the smaller number but smaller than the larger number
(D) equal to one of the numbers

Correct Answer: C

Explanation:

Multiplying by a fraction less than 1 reduces the larger number but the product remains greater than the fraction.

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Question (10)

QN0030042

A square has side 4/5 m. Another square has side half as long. What is the area of the smaller square?

(A) 4/25 m²
(B) 8/25 m²
(C) 2/25 m²
(D) 16/25 m²

Correct Answer: A

Explanation:

Half of 4/5 m is 2/5 m. Area = 2/5 × 2/5 = 4/25 m².

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Question (1)

A rectangular garden is 3½ m long and 2 2/7 m wide. What is its area?

Explanation:

Link:

Question (2)

Which of the following statements is always true?

Explanation:

Link:

Question (3)

A machine fills 4/5 of a water tank in 1 hour. How much of the tank will it fill in 3/8 hour?

Explanation:

Link:

Question (4)

A rope is 6½ m long. It is cut into pieces of length 1/4 m each. How many pieces are obtained?

Explanation:

Link:

Question (5)

Which fraction is the reciprocal of 2 1/3?

Explanation:

Link:

Question (6)

A cyclist travels 18 km in 1 hour. How far will he travel in 5/6 hour?

Explanation:

Link:

Question (7)

Evaluate 15/28 × 14/25.

Explanation:

Link:

Question (8)

A baker uses 3/4 kg flour for one tray of cookies. If he has 6 kg flour, how many trays can he prepare completely?

Explanation:

Link:

Question (9)

If one number is greater than 1 and the other number is between 0 and 1, then their product is

Explanation:

Link:

Question (10)

A square has side 4/5 m. Another square has side half as long. What is the area of the smaller square?

Explanation:

Link:

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