Subjects general mathematics

Mixed Math Questions

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Mixed Math Questions


1. **Identify the prime number in the list:** A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. - 23 is prime because it is only divisible by 1 and 23. - 24, 25, and 27 are not prime. **Answer:** A. 23 2. **Place value of 9 in 679 241 522:** The digits are grouped as: 6 (hundred millions), 7 (ten millions), 9 (millions), 2 (hundred thousands), 4 (ten thousands), 1 (thousands), 5 (hundreds), 2 (tens), 2 (ones). - The 9 is in the millions place. **Answer:** C. M 3. **Round 8 456 752 to the nearest 5:** - The last digit is 2. - The nearest multiple of 5 to 2 is 0 (since 2 is closer to 0 than 5). - So, rounded number is 8 456 750. **Answer:** D. 8 456 750 4. **Next number in the pattern 1; 1; 2; 3; 5; 8; _____:** This is the Fibonacci sequence where each number is the sum of the two preceding ones. - Next number = 5 + 8 = 13 **Answer:** C. 13 5. **2D shape with four lines of symmetry:** - Triangle: usually 3 lines - Parallelogram: 0 or 2 lines - Rectangle: 2 lines - Square: 4 lines **Answer:** D. Square 6. **Calculate 20 - 5 + 90 ÷ 2:** - Division first: 90 ÷ 2 = 45 - Then: 20 - 5 + 45 = 15 + 45 = 60 **Answer:** 60 7. **Factors of 20:** - Numbers that divide 20 exactly: 1, 2, 4, 5, 10, 20 8. **Expanded notation of 15,76:** - 15,76 means 15.76 - Expanded: 10 + 5 + 0.7 + 0.06 9. **Calculate 453 979 + 124 968:** - Sum: 453979 + 124968 = 578947 10. **Calculate 857 505 - 435 286:** - Difference: 857505 - 435286 = 422219 11. **Calculate 1 326 × 352:** - Multiply: 1326 × 352 = 466,752 12. **Calculate 2 758 ÷ 125:** - Division: 2758 ÷ 125 = 22 remainder 8, or 22.064 13. **Calculate 1/5 + 3/10:** - Convert to common denominator 10: 2/10 + 3/10 = 5/10 = 1/2 14. **Calculate 8 3/12 - 2 5/12:** - Convert to improper fractions: 8 3/12 = 8 + 1/4 = 33/4, 2 5/12 = 2 + 5/12 = 29/12 - Convert 33/4 to twelfths: 33/4 = 99/12 - Subtract: 99/12 - 29/12 = 70/12 = 5 10/12 = 5 5/6 15. **Calculate 4,45 - 1,23:** - Subtract: 4.45 - 1.23 = 3.22 16. **Car travels 180 km in 2 hours. Distance in 3 hours at same speed:** - Speed = 180 ÷ 2 = 90 km/h - Distance in 3 hours = 90 × 3 = 270 km 17. **Jane and Jowy payment:** - Total hours = 4 + 6 = 10 - Jane's share = (4/10) × 220 = 88 - Jowy's share = (6/10) × 220 = 132 18. **Flour cost and change:** - 1.5 kg = 1500 g - Cost per gram = 3.50 ÷ 500 = 0.007 - Cost for 1500 g = 0.007 × 1500 = 10.5 - Change = 20 - 10.5 = 9.5 19. **Complete sequence 5,5; 5,6; 5,7; 5,8; ________; ______:** - Pattern increases by 0.1 - Next numbers: 5.9, 6.0 20. **Magic square sum 18, find K:** - Sum of row with K + two unknowns = 18 - Using given numbers 11, 6, 10, solve for K = 1 21. **Perimeter of shape with sides 3m and 8m:** - Perimeter = 2 × (3 + 8) = 22 m 22. **Peter's money after giving 30% to sister:** - Amount given = 0.3 × 800 = 240 - Left = 800 - 240 = 560 23. **Wire length left after cutting:** - Total = 4 3/4 = 19/4 - Cut off = 1 1/4 = 5/4 - Left = 19/4 - 5/4 = 14/4 = 3 1/2 - Fraction left = 14/19 24. **Geometric pattern rule:** - Number of blocks increases by adding layers in a pyramid shape. 25. **Squares in 50th pattern:** - Pattern follows formula: $2n^2 - 1$ - For $n=50$, squares = $2(50)^2 - 1 = 2(2500) - 1 = 4999$ 26. **Complete table:** - Input 6 output 13 (pattern adds 2) - Input 15 output 31 - Input 15.1: 1 + 2 × 15.1 = 31.2 27. **3D object properties:** - Faces: 8 (2 pentagons + 6 rectangles) - Edges: 15 - Vertices: 12 - Name: Hexagonal prism 28. **Complete fractions table:** - 2/5 = 0.4 = 40% - Decimal 0.75 = 3/4 **Final answers:** 1. A 2. C 3. D 4. C 5. D 6. 60 7. 1,2,4,5,10,20 8. 10 + 5 + 0.7 + 0.06 9. 578947 10. 422219 11. 466752 12. 22.064 13. 1/2 14. 5 5/6 15. 3.22 16. 270 17. Jane: 88, Jowy: 132 18. 9.5 19. 5.9, 6.0 20. 1 21. 22 22. 560 23. 14/19 24. Pyramid block increase 25. 4999 26. 13, 31, 31.2 27. Faces: 8, Edges: 15, Vertices: 12, Name: Hexagonal prism 28. 40%, 3/4