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