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Archive · October 30, 2026

Grade 7 Math: 10 Free Practice Questions

A brand-new set of Grade 7 math practice questions every single day, with the answer and a full explanation for each one. No account, no paywall — tap an answer to check it.

1A road sign shows a distance of 2 kilometers to the next town. Approximately how many miles is this, given 1 km ≈ 0.621 miles?

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Answer: about 1.24 miles
2 x 0.621 = 1.242 ≈ 1.24 miles.

2A cyclist begins a ride at 7:35 a.m. She rides for 2 hours 50 minutes, rests for 20 minutes, then rides for another 1 hour 35 minutes. At what time does she finish?

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Answer: 12:20 p.m.
7:35 a.m. + 2:50 = 10:25 a.m.; + 20 min rest = 10:45 a.m.; + 1:35 = 12:20 p.m.

3The tally chart shows the results of 25 spins of a color spinner. Based on this experimental data, what is the experimental probability of landing on green?

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Answer: 3/25
Green occurred 3 times out of 25 total spins, so the experimental probability is 3/25.

4Store A sells a 12-ounce bottle of juice for $3.00. Store B sells an 18-ounce bottle for $4.32. Which store offers the better unit price per ounce?

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Answer: Store B, at $0.24 per ounce
Store A: 3.00/12=$0.25/oz. Store B: 4.32/18=$0.24/oz. Store B is cheaper per ounce.

53 pens cost $4.50. What is the cost of one pen?

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Answer: $1.50
Divide the total by the number of pens: $4.50 ÷ 3 = $1.50.

6Lucas has 51 points, Ava has 57 points, and Zoe has 45 points. Lucas gives 7 points to Zoe. After that, how many more points does Ava have than Zoe?

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Answer: 5
Step 1: Lucas's total after giving 7 points to Zoe (51 − 7) = 44 Step 2: Zoe's total after receiving 7 points from Lucas (45 + 7) = 52 Step 3: difference between Ava's total and Zoe's new total (57 − 52) = 5 So the answer is 5 — how many more points Ava has than Zoe.

7Carlos has 57 points, Lucas has 64 points, and Mia has 48 points. Carlos gives 10 points to Mia. After that, how many more points does Lucas have than Mia?

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Answer: 6
Step 1: Carlos's total after giving 10 points to Mia (57 − 10) = 47 Step 2: Mia's total after receiving 10 points from Carlos (48 + 10) = 58 Step 3: difference between Lucas's total and Mia's new total (64 − 58) = 6 So the answer is 6 — how many more points Lucas has than Mia.

8Solve: 3x + 5 = 26

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Answer: x = 7
Subtract 5: 3x = 21. Divide by 3: x = 7.

9A data set is: 8, 9, 10, 11, 62. Which measure of center best describes a 'typical' value in this data set, and why?

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Answer: The median, because the outlier 62 skews the mean far above most of the data
The value 62 is a significant outlier. It raises the mean well above the other four values, so the median (10) better represents the typical value.

10A train departs at 11:40 AM and the trip takes 45 minutes. What time does the train arrive?

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Answer: 12:25 PM
11:40 AM + 20 minutes = 12:00 PM; 12:00 PM + 25 minutes = 12:25 PM.

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