MathFit™ Evaluation:
Free 8th Grade Math Test
Free 8th Grade Math Test
Math Test for Grade 8
Fluency
Evaluate:
\(-1+(-\frac{7}{4}+\frac{5}{6})-(-\frac{2}{3}+\frac{3}{8})\)
\(y\) varies inversely as \(x\).
| \(x\) | \(5\) | \(8\) |
| \(y\) | \(12\) | ? |
What is the missing quantity?
Understanding
Max, Bob, Speckie and Jiggi each tried to simplify \(x^2\div x^8\).
Who did it correctly?




The radius and the height of a cylinder are in the ratio \(1:3\). If the radius is doubled, while keeping the height unchanged, what is the ratio of the total surface area of the original cylinder to the new one?
Which of the following are the factors of the expression \(3x^2-11x+10\) ?
Application
During the summer months, a city's public library monitors its electricity usage.

Month I: The library used \(2,\!400\) kilowatt-hours (kWh) of electricity. They then installed energy-efficient LED lights and set timers on air conditioners.
Month II: Electricity usage decreased by \(25\%\).
Month III: Due to a heatwave, the air conditioners were used more often, and the electricity usage increased by \(25\%\) from Month II.
What was the overall percentage change in the library's electricity usage from the Month I to the Month III?
During the renovation of a school, a mason needs to construct a new wall for the playground boundary. The wall will be \(11\ m\) long, \(3.5\ m\) high, and \(40\ cm\) thick. Each brick measures \(22\ cm\times10\ cm\times7\ cm\), and cement and sand together occupy \(10\%\) of the wall's total volume.

How many bricks will be required to construct the wall?
\(5\) years ago, Olivia's father was three times as old as Olivia.

After \(10\) years, her father will be twice as old as her. What is Olivia's present age?
Reasoning
Find the missing number if the same rule is followed in all the rows.
| \(5\) | \(6\) | \(3\) | \(70\) |
| \(8\) | \(7\) | \(9\) | \(194\) |
| ? | \(10\) | \(11\) | \(237\) |
The two orientations of a dice are given below.

What number will be at the bottom, if V is at the top?
A traveller starts from a point \(A\) and travels \(3\ km\) eastwards to \(B\) and then turns left and travels thrice that distance to reach \(C\).
He again turns left and travels five times the distance he covered between \(A\) and \(B\) and reaches his destination \(D\).
What is the shortest distance between \(A\) and \(D\)?
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