Correct Answers and Explanations (Graded A+)
This document contains the full set of 48 Mathnasium job assessment questions with
accurate, well-explained answers that received an A+ grade. It covers essential
mathematical formulas, concepts, and problem-solving strategies relevant to geometry,
algebra, trigonometry, and sequences. Included are area and volume formulas, unit
conversions, properties of polygons, polynomial characteristics, trigonometric identities,
vector operations, and sequence/series formulas. Designed as a thorough preparation
resource for anyone taking the Mathnasium hiring assessment.
1. P = 2l + 2w: Perimeter of a rectangle
2. A = lw: Area of a rectangle
3. A = bh: Area of a parallelogram
4. A = 1/2h(b1 + b2): Area of a trapezoid
5. A = 1/2bh: Area of a triangle
6. C = pi x diameter or C = 2rÀ: circumference of a circle
7. A = Àr²: Area of a circle
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, 8. a²+b²=c²: Pythagorean Theorem
9. V = l x w x h: formula for volume of a rectangular prism
10. SA = 2Àr² + 2Àrh: Surface area of a cylinder
11. V = Àr²h: Volume of a cylinder
12. SA = 2lw + 2hl + 2wh: surface area of a rectangular prism
13. V=1/3Àr²h: volume of cone=1/3Àr²h
14. V = 1/3Bh: Volume of a pyramid *depends on Base shape
15. V = 4/3Àr^3: Volume of a sphere
16. F= 9/5 C + 32: Convert Celsius to Fahrenheit
17. d = ( x‚ - x•)² + (y‚ - y•)²: distance formula
18. 1 mile = 5,280 feet: How many feet are in one mile?
19. 1 yard = 3 feet: How many feet are in one yard?
20. 1 foot = 12 inches: How many inches are in one foot?
21. 1 pound = 2,000 tons: How many pounds are in one ton?
22. 1 pound = 16 ounces: How many ounces are in one pound?
23. 1 cup = 8 oz: How many fluid ounces are in one cup?
24. Sum of interior angles = 180(n-2) where n is the number of sides: The
sum of the interior angles of a regular polygon
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