Which statement is true for the number 15?
Correct answer(s):
- 15 is prime or divisible by 5
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A fair 2-section spinner and a fair 3-section spinner are spun once. What is the probability of getting one chosen section on each spinner?
Correct answer(s):
- 1/6
Let A = {2, 3, 8, 10, 13} and B = {2, 3, 4, 6, 12, 13}. What is A ∩ B?
Correct answer(s):
- {2, 3, 13}
Factorize: x² – 16.
Correct answer(s):
- (x + 4)(x - 4)
Which statements about the sequence 4, 7, 10, 13, … are true?
Correct answer(s):
- The nth term is 3n + 1
- The common difference is 3
- The 10th term is 31
Solve the system: 1x + 2y = -7 and 2x – 3y = 0.
Correct answer(s):
- x = -3, y = -2
Write 0.00084 in scientific notation.
Correct answer(s):
- 8.4 × 10^-4
Solve the system: 1x + 2y = -5 and 2x – 1y = 0.
Correct answer(s):
- x = -1, y = -2
Factorize: x² – 64.
Correct answer(s):
- (x + 8)(x - 8)
Find the slope of the line passing through (-1, 5) and (2, 4).
Correct answer(s):
- -1/3
Convert 78 m³ into cm³.
Correct answer(s):
- 78000000 cm³
Using π = 22/7, find the volume of a sphere with radius 7 cm.
Correct answer(s):
- 1437.33 cm³
Using π = 3.14, find the volume of a cone with radius 4 mm and height 80 mm.
Correct answer(s):
- 1339.73 mm³
Using π = 3.14, find the curved surface area of a cylinder with radius 12 m and height 74 m.
Correct answer(s):
- 5576.64 m²
Using π = 3.14, find the volume of a cylinder with radius 12 mm and height 70 mm.
Correct answer(s):
- 31651.2 mm³
A cuboid measures 68 cm × 5 cm × 10 cm. What is its total surface area?
Correct answer(s):
- 2140 cm²
A cuboid has length 67 m, breadth 7 m, and height 8 m. Find its volume.
Correct answer(s):
- 3752 m³
A cube-shaped box has each edge 59 mm. What is its volume?
Correct answer(s):
- 205379 mm³
A cube has edge length 57 cm. What is its total surface area?
Correct answer(s):
- 19494 cm²
A rectangular cardboard is 62 mm by 8 mm. A square of side 4 mm is cut from it. What area remains?
Correct answer(s):
- 480 mm²