Thursday Questions
1. The problem asks to solve various arithmetic and geometry questions from Thursday's list.
2. For question 1: Calculate $(11 \times 7) + 13$.
$$11 \times 7 = 77$$
$$77 + 13 = 90$$
3. For question 2: Identify the shape shown (trapezoid).
4. For question 3: Add mixed numbers $3 \frac{1}{4} + 7 \frac{1}{2}$.
Convert to improper fractions:
$$3 \frac{1}{4} = \frac{13}{4}, \quad 7 \frac{1}{2} = \frac{15}{2} = \frac{30}{4}$$
Add:
$$\frac{13}{4} + \frac{30}{4} = \frac{43}{4} = 10 \frac{3}{4}$$
5. For question 4: Convert 109 minutes to hours and minutes.
$$109 \div 60 = 1 \text{ hour remainder } 49 \text{ minutes}$$
6. For question 5: Convert 7.019 km to meters.
$$7.019 \text{ km} = 7,019 \text{ m}$$
7. For question 6: The number is 4672 (no operation needed).
8. For question 7: Round 199,611 to the nearest 1,000.
Since 611 > 500, round up:
$$200,000$$
9. For question 8: Subtract 1,060 from 21,406.
$$21,406 - 1,060 = 20,346$$
10. For question 9: Add 1.6 kg and 3.2 kg.
$$1.6 + 3.2 = 4.8 \text{ kg}$$
11. For question 10: Calculate $(108 + 9) \times 4$.
$$108 + 9 = 117$$
$$117 \times 4 = 468$$
12. For question 11: Degrees turned by minute hand in 60 minutes.
The minute hand completes a full circle in 60 minutes:
$$360^\circ$$
13. For question 12: Convert $2 \frac{3}{4}$ to an improper fraction.
$$2 \frac{3}{4} = \frac{11}{4}$$
14. For question 13: Identify the solid as octahedron (two pyramids joined base-to-base).
15. For question 14: Triangles tessellate, so answer is True.
16. For question 15: Difference between 6.15 and 6.00 as a fraction.
$$6.15 - 6.00 = 0.15 = \frac{15}{100} = \frac{3}{20}$$
17. For question 16: Jug holds 5 times container's capacity.
Container: $\frac{3}{10}$ litre
Jug:
$$5 \times \frac{3}{10} = \frac{15}{10} = 1.5 \text{ litres}$$
18. For question 17: Total capacity of jug and container.
$$1.5 + 0.3 = 1.8 \text{ litres}$$
19. For question 18: Difference between jug and container capacities.
$$1.5 - 0.3 = 1.2 \text{ litres}$$
Final answers:
1. 90
3. $10 \frac{3}{4}$
4. 1 hr 49 mins
5. 7,019 m
7. 200,000
8. 20,346
9. 4.8 kg
10. 468
11. 360 degrees
12. $\frac{11}{4}$
13. Octahedron
14. True
15. $\frac{3}{20}$
16. 1.5 litres
17. 1.8 litres
18. 1.2 litres