Subjects arithmetic, geometry

Thursday Questions

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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