7TH NUMBERS TALENT - DECIMALS AND MIXED NUMBERS

Decimals & Mixed Numbers Quiz

1. Evaluate: 3.45 + 12.8 - 5.065

A) 11.185 B) 11.235 C) 11.385 D) 12.185

Correct Answer: A) 11.185

Explanation:
3.45 + 12.80 = 16.25
16.250 - 5.065 = 11.185.

2. Convert the mixed number 4 ¾ into a decimal.

A) 4.375 B) 4.380 C) 4.625 D) 4.750

Correct Answer: A) 4.375

Explanation:
3 ÷ 8 = 0.375
4 + 0.375 = 4.375.

3. What is the value of 3 ½ × 2 ⅖?

A) 7 ⅕ B) 8 ⅖ C) 8 ½ D) 9 ⅕

Correct Answer: B) 8 ⅖

Explanation:
3 ½ = 7/2 and 2 ⅖ = 12/5
(7/2) × (12/5) = 84/10 = 42/5 = 8 ⅖.

4. Express the recurring decimal 0.363636... as a simplified fraction.

A) 9/25 B) 4/11 C) 36/100 D) 18/49

Correct Answer: B) 4/11

Explanation:
Let x = 0.3636...
100x = 36.3636...
99x = 36 → x = 36/99 = 4/11.

5. Simplify: (0.4 × 0.06) ÷ 0.012

A) 0.2 B) 2 C) 20 D) 0.02

Correct Answer: B) 2

Explanation:
0.4 × 0.06 = 0.024
0.024 ÷ 0.012 = 2.

6. Maya bought 3 ¼ kg of apples and 2 ½ kg of oranges. What is the total weight of the fruits?

A) 5 ⅙ kg B) 5 ¾ kg C) 6 ¼ kg D) 6 ½ kg

Correct Answer: B) 5 ¾ kg

Explanation:
3 ¼ + 2 ½ = 3.25 + 2.50 = 5.75 kg = 5 ¾ kg.

7. A wooden rod is 15.6 meters long. If cut into equal pieces of 1.2 meters each, how many pieces are formed?

A) 11 B) 12 C) 13 D) 14

Correct Answer: C) 13

Explanation:
15.6 ÷ 1.2 = 156 ÷ 12 = 13 pieces.

8. Rohan traveled 4 ⅖ km by bus, 1.8 km by bicycle, and walked the rest. If the total distance is 8 km, how far did he walk?

A) 1.8 km B) 2.1 km C) 2.4 km D) 2.8 km

Correct Answer: C) 2.4 km

Explanation:
4 ⅖ = 4.4 km.
Distance covered = 4.4 + 1.8 = 6.2 km.
Walking distance = 8.0 - 6.2 = 2.4 km.

9. A container holds 12.5L water. If 4.85L are used in the morning and 3.4L in the afternoon, how much remains?

A) 4.15 liters B) 4.25 liters C) 4.35 liters D) 4.45 liters

Correct Answer: B) 4.25 liters

Explanation:
Total used = 4.85 + 3.40 = 8.25L.
Remaining = 12.50 - 8.25 = 4.25L.

10. 1 kg flour costs $2.40. How much will 5 ¾ kg of flour cost?

A) $13.20 B) $13.80 C) $14.20 D) $14.40

Correct Answer: B) $13.80

Explanation:
5 ¾ = 5.75 kg.
Cost = 5.75 × 2.40 = $13.80.

11. What is the value of 7 ⅓ - 4 ⅚ + 2 ½?

A) 5 B) 5 ⅓ C) 5 ½ D) 6

Correct Answer: A) 5

Explanation:
22/3 - 29/6 + 5/2
=(44 - 29 + 15) / 6 = 30 / 6 = 5.

12. Find the average of: 2.5, 3 ¼, 4.1, and 1 ¾.

A) 2.65 B) 2.90 C) 3.15 D) 3.40

Correct Answer: B) 2.90

Explanation:
Convert mixed numbers: 3 ¼ = 3.25, 1 ¾ = 1.75.
Sum = 2.5 + 3.25 + 4.1 + 1.75 = 11.6.
Average = 11.6 ÷ 4 = 2.90.

13. Divide 8.64 by the sum of 1 ⅕ and 0.6.

A) 3.6 B) 4.2 C) 4.8 D) 5.4

Correct Answer: C) 4.8

Explanation:
1 ⅕ = 1.2.
Sum = 1.2 + 0.6 = 1.8.
8.64 ÷ 1.8 = 4.8.

14. A tank is ⅜ full. Adding 15 liters makes it 0.625 full. What is the capacity of the tank?

A) 50 liters B) 60 liters C) 75 liters D) 80 liters

Correct Answer: B) 60 liters

Explanation:
3/8 = 0.375.
Difference = 0.625 - 0.375 = 0.25 (or 1/4 of total capacity).
Capacity = 15 ÷ 0.25 = 60 liters.

15. Evaluate: (2.5)² + 3 ⅜ ÷ 0.75 - 1.25

A) 8.5 B) 9.5 C) 9.75 D) 10.25

Correct Answer: B) 9.5

Explanation:
(2.5)² = 6.25.
3 ⅜ = 3.375 → 3.375 ÷ 0.75 = 4.5.
Result = 6.25 + 4.5 - 1.25 = 9.5.