Top 10 5th Grade ACT Aspire Math Practice Questions
A. \(8 π\)
B. \(16 π\)
C. \(32 π\)
D. \(64 π\)
8- A rope weighs 800 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)
A. 0.0976
B. 0.976
C. 9.76
D. 9760
9- Solve.
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} =?\)
A. \(\frac{9}{10}\)
B. \(\frac{2}{10}\)
C. 1
D. 2
10- How many \(\frac{1}{4}\) cup servings are in a package of cheese that contains \(6 \frac{1}{2}\) cups altogether?_________
Best 5th Grade ACT Aspire Math Prep Resource for 2026
Answers:
1- A
There are 65 cards in the bag, and 13 of them are white. Then, 13 out of 65 cards are white. You can write this as: \(\frac{13}{65}\).
To simplify this fraction, divide both numerator and denominator by 13. Then:
\(\frac{13}{65}=\frac{1}{5}\)
2- B
\(\frac{3}{11}\) means 3 is divided by 11. The fraction line means division or \(÷\). Therefore, we can write \(\frac{3}{11}\) as \(3 ÷ 11\).
3- A
Plug 20 for A in the equations. Only option A works.
\(A+20=40\)
\(20+20=40\)
4- D
50 miles: 1 hour
425 miles: \(425 ÷ 50 = 8.5\) hours
5- C
Use the percent formula:
\(part =\frac{percent}{100}× whole\)
\(50=\frac{percent}{100}× 40⇒ 50 = \frac{percent ×40}{100}⇒ 50 = \frac{percent ×4}{10}\)
Multiply both sides by 10.
500 = percent \(×4\), divide both sides by 4.
125 = percent
6- 104
First, find the missing side of the trapezoid. The perimeter of the trapezoid below is 52. Therefore, the missing side of the trapezoid (its height) is: \(52-12-18-14=52-44=8\)
Area of a trapezoid: \(A = \frac{1}{2} h (b_{1} + b_{2}) = \frac{1}{2} (8) (12 + 14) = 104\)
7- B
Use the area and circumference of the circle formula.
Area of a circle = \(πr^2 ⇒ 64π = πr^2 ⇒ r= 8\)
Circumference of a circle = \(2πr ⇒ C = 2×8×π ⇒ C =16π\)
8- C
1 meter of the rope = 800 grams 12.2 meter of the rope = \(12.2 × 800 =9,760 \)grams = 9.76 kilograms
9- C
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} = \frac{(5×1)+(2×4)-(1×3)}{10} =\frac{10}{10}=1\)
10- 26
To solve this problem, divide \(6\frac{1}{2}\) by \(\frac{1}{4}\).
\(6\frac{1}{2}÷\frac{1}{4}=\frac{13}{2}÷\frac{1}{4}=\frac{13}{2}×\frac{4}{1}=26\)
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