Preparing students for the Grade 7 ACT Aspire Math test? Looking for a preview of the most common mathematics questions on the Grade 7 ACT Aspire Math test? If so, then you are in the right place.

The mathematics section of Grade 7 ACT Aspire can be a challenging area for many students, but with enough patience, it can be easy and even enjoyable!

Preparing for the Grade 7 ACT Aspire Math test can be a nerve-wracking experience for some test-takers. Learning more about what they’re going to see when they take the Grade 7 ACT Aspire can help to reduce those pre-test jitters. Here’s a review of the 10 most common Grade 7 ACT Aspire Math questions to help your students know what to expect and what to practice most. Let your students try these 10 most common Grade 7 ACT Aspire Math questions to hone their mathematical skills and to see if their math skills are up to date on what’s being asked on the exam or if they still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

## The Absolute Best Book** to Ace the Grade 7 ACT Aspire** **Math** Test

## 10 Sample **Grade 7 ACT Aspire** Math Practice Questions

1- What is the median of these numbers? \(2, 28, 28, 19, 67, 44, 35\)

☐A. 19

☐B. 28

☐C. 44

☐D. 35

2- Last week 24,000 fans attended a football match. This week three times as many bought tickets, but one sixth of them cancelled their tickets. How many are attending this week?

☐A. 48000

☐B. 54000

☐C. 60000

☐D. 72000

3- The following trapezoid are similar. What is the value of \(x\) ?

☐A. 7

☐B. 8

☐C. 18

☐D. 45

4- If \(x=- 8\), which equation is true?

☐A. \( x(2x-4)=120\)

☐B. \(8 (4-x)=96\)

☐C.\( 2 (4x+6)=79\)

☐D. \( 6x-2=-46\)

5- In a bag of small balls \(\frac{1}{3}\) are black, \(\frac{1}{6}\) are white, \(\frac{1}{4}\) are red and the remaining 12 blue. How many balls are white?

☐A. 8

☐B. 12

☐C. 16

☐D. 24

6- A boat sails 40 miles south and then 30 miles east. How far is the boat from its start point?

☐A. 45

☐B. 50

☐C. 60

☐D. 70

7- Sophia purchased a sofa for $530.40. The sofa is regularly priced at $624. What was the percent discount Sophia received on the sofa?

☐A. \(12\%\)

☐B. \(15\%\)

☐C. \(20\%\)

☐D. \(25\%\)

8- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was 60, what is the score of Emma?

☐A. 12

☐B. 15

☐C. 20

☐D. 30

9- A bag contains 18 balls: two green, five black, eight blue, a brown, a red and one white. If 17 balls are removed from the bag at random, what is the probability that a brown ball has been removed?

☐A. \(\frac{1}{9}\)

☐B. \(\frac{1}{6}\)

☐C. \(\frac{16}{17}\)

☐D. \(\frac{17}{18}\)

10- A rope weighs 600 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)

☐A. 0.0732

☐B. 0.732

☐C. 7.32

☐D. 7320

## Best **Grade 7 ACT Aspire** Math Prep Resource for 2020

## Answers:

1- **B**

Write the numbers in order:

\(2, 19, 28, 28, 35, 44, 67\)

Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 28.

2- **C**

Three times of 24,000 is 72,000. One sixth of them cancelled their tickets.

One sixth of 72,000 equals 12,000 \((\frac{1}{6}) × 72000 = 12000\).

60,000 \(72000 – 12000 = 60000\) fans are attending this week

3- **A**

It’s needed to have a ratio to find value of \(x\).

\(\frac{45}{40}=\frac{2x+4}{16}⇒ 40(2x+4)=45×16 ⇒ x=7\)

4- **C**

\(8 (4-(-8))=96\)

5- **A**

\(\frac{1}{3}x + \frac{1}{6}x + \frac{1}{4}x + 12= x\)

\((\frac{1}{3} + \frac{1}{6} + \frac{1}{4}) x+ 12= x\)

\((\frac{9}{12})x+ 12 = x\)

\(x = 48\)

In a bag of small balls \(\frac{1}{6}\) are white then: \(\frac{48}{6} = 8\)

6- **B **

Use the information provided in the question to draw the shape.

Use Pythagorean Theorem: \(a^2 + b^2 = c^2\)

\(40^2 + 30^2 = c^2 ⇒ 1600 + 900 = c^2 ⇒ 2500 = c^2 ⇒ c = 50\)

7- **B**

The question is this: 530.40 is what percent of 624?

Use percent formula:

\(part = \frac{percent}{100}× whole\)

\(530.40= \frac{percent}{100}× 624 ⇒ 530.40 = \frac{percent ×624}{100}⇒53040 = percent ×624\)

\(⇒percent = \frac{53040}{624}= 85\)

530.40 is \(85 \%\) of 624. Therefore, the discount is: \(100\% – 85\% = 15\%\)

8- **B **

If the score of Mia was 60, therefore the score of Ava is 30. Since, the score of Emma was half as that of Ava, therefore, the score of Emma is 15.

9- **D**

If 17 balls are removed from the bag at random, there will be one ball in the bag.

The probability of choosing a brown ball is 1 out of 18. Therefore, the probability of not choosing a brown ball is 17 out of 18 and the probability of having not a brown ball after removing 17 balls is the same.

10- **C **

The weight of 12.2 meters of this rope is: \(12.2 × 600 \space g = 7320 \space g\)

\(1\space kg = 1000 \space g\) therefore,

\( 7320 \space g ÷ 1000 = 7.32 \space kg\)

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