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Mistake Review

37 questions to revisit

Ratios & Rates

A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?

Your answer: 6

Correct answer: 60

💡 Explanation: Unit rate = total miles / total hours = 180 / 3 = 60 miles per hour.
Easy9/6/2026

In a fruit salad, the ratio of grapes to strawberries to blueberries is 3:2:1. If there are 48 pieces of fruit total, how many grapes are there?

Your answer: 8

Correct answer: 24

💡 Explanation: Total ratio parts = 3 + 2 + 1 = 6. Each part = 48 / 6 = 8 pieces. Grapes = 3 x 8 = 24.
Challenge8/5/2026

A car uses 2 gallons of gas to travel 50 miles. How many miles can it travel on 7 gallons?

Your answer: 185

Correct answer: 175

💡 Explanation: Unit rate = 50 / 2 = 25 miles per gallon. Total miles = 25 x 7 = 175 miles.
Word Problem8/4/2026

A store sells 5 apples for $2.50. What is the cost per apple?

Your answer: 9

Correct answer: 0.5

💡 Explanation: Unit rate = $2.50 / 5 = $0.50 per apple.
Easy8/4/2026

Decimal Place Value

The morning temperature was 18.4°C and the afternoon temperature was 24.7°C. By how many degrees did the temperature rise?

Your answer: 0.63

Correct answer: 6.3

💡 Explanation: 24.7 − 18.4 = 6.3°C.
Word Problem8/5/2026

Jasmine's ribbon is 8.6 cm long. She needs 10 cm. How much more ribbon does she need?

Your answer: 2.4

Correct answer: 1.4

💡 Explanation: 10.0 − 8.6 = 1.4 cm.
Word Problem8/3/2026

Emma bought a notebook for $2.49 and a pen for $0.85. How much did she spend in total?

Your answer: 3.36

Correct answer: 3.34

💡 Explanation: 2.49 + 0.85 = 3.34. Line up decimal points: 9 + 5 = 14, write 4 carry 1; 4 + 8 + 1 = 13, write 3 carry 1; 2 + 0 + 1 = 3.
Word Problem8/3/2026

A number has a 3 in the tenths place, a 5 in the thousandths place, and a 0 in all other decimal places, with 1 in the ones place. What is the number?

Your answer: G

Correct answer: 1.305

💡 Explanation: Build it piece by piece: 1 (ones) + 0.3 (tenths) + 0.00 (hundredths) + 0.005 (thousandths) = 1.305.
Challenge8/3/2026

Order these decimals from least to greatest: 0.4, 0.04, 0.44, 0.404

Your answer: 0.04, 0.404, 0.4, 0.44

Correct answer: 0.04, 0.4, 0.404, 0.44

💡 Explanation: Compare tenths first: 0.04 has 0 tenths (smallest). Then 0.4 and 0.404 both have 4 tenths — compare hundredths: 0 vs 0, then thousandths: 0 vs 4, so 0.4 < 0.404. Finally 0.44 has 4 tenths and 4 hundredths (largest).
Standard8/2/2026

A runner ran 2.75 miles on Monday and 3.4 miles on Tuesday. How many miles did she run in total?

Your answer: 6.25

Correct answer: 6.15

💡 Explanation: Line up the decimals: 2.75 + 3.40 = 6.15 miles. Always write 3.4 as 3.40 to align the decimal places.
Word Problem8/1/2026

Write the decimal for "three and five hundredths".

Your answer: 0.35

Correct answer: 3.05

💡 Explanation: "Three" = 3 (whole number). "Five hundredths" = 0.05. Combined: 3.05. Notice there must be a zero in the tenths place.
Easy7/13/2026

Round 6.738 to the nearest hundredth.

Your answer: 6.740

Correct answer: 6.74

💡 Explanation: Look at the thousandths digit (8). Since 8 ≥ 5, round the hundredths digit up: 3 becomes 4. Answer: 6.74.
Easy7/5/2026

Round 2.945 to the nearest tenth.

Your answer: 3

Correct answer: 2.9

💡 Explanation: Look at the hundredths digit (4). Since 4 < 5, keep the tenths digit the same. Answer: 2.9.
Standard7/5/2026

Which number is greater: 4.08 or 4.8?

Your answer: 4.08

Correct answer: 4.8

💡 Explanation: Line up the decimals: 4.08 has 0 tenths, while 4.8 has 8 tenths. Since 8 > 0 in the tenths place, 4.8 is greater.
Easy7/5/2026

Fractions Review

Add: 1 2/5 + 2 3/5

Your answer: 5

Correct answer: 4

💡 Explanation: Add whole numbers: 1 + 2 = 3. Add fractions: 2/5 + 3/5 = 5/5 = 1. Total: 3 + 1 = 4.
Challenge8/4/2026

A bag of flour weighs 3 1/4 pounds. Emma uses 1 3/4 pounds for baking. How much flour is left?

Your answer: 2 1/2

Correct answer: 1 1/2

💡 Explanation: Borrow 1 from the whole number: 3 1/4 = 2 5/4. Subtract: 2 5/4 − 1 3/4 = 1 2/4 = 1 1/2 pounds.
Challenge8/4/2026

Convert 2 3/4 to an improper fraction.

Your answer: 9/4

Correct answer: 11/4

💡 Explanation: Multiply whole number by denominator: 2 × 4 = 8. Add numerator: 8 + 3 = 11. Keep denominator: 11/4.
Easy7/18/2026

What fraction of a dollar is 75 cents?

Your answer: 75/10

Correct answer: 3/4

💡 Explanation: 75 cents out of 100 cents = 75/100. Simplify by dividing by 25: 3/4.
Standard7/8/2026

Order from least to greatest: 5/6, 3/4, 7/8

Your answer: 5/6, 3/4, 7/8

Correct answer: 3/4, 5/6, 7/8

💡 Explanation: Common denominator 24: 3/4 = 18/24, 5/6 = 20/24, 7/8 = 21/24. Order: 18/24 < 20/24 < 21/24, so 3/4 < 5/6 < 7/8.
Challenge7/7/2026

A recipe needs 2/3 cup of sugar. If you want to make half the recipe, how much sugar do you need?

Your answer: 1/6 cup

Correct answer: 1/3 cup

💡 Explanation: Half of 2/3 = 2/3 ÷ 2 = 2/3 × 1/2 = 2/6 = 1/3. You need 1/3 cup of sugar.
Word Problem7/7/2026

Simplify 12/16.

Your answer: 6/8

Correct answer: 3/4

💡 Explanation: GCF of 12 and 16 is 4. 12÷4 = 3, 16÷4 = 4. Answer: 3/4.
Standard7/7/2026

Compare: 2/3 vs 3/4. Which is greater?

Your answer: 2/3

Correct answer: 3/4

💡 Explanation: Common denominator of 12: 2/3 = 8/12, 3/4 = 9/12. Since 9 > 8, 3/4 is greater.
Standard7/7/2026

Decimal Operations

What is 15.6 ÷ 3?

Your answer: 0.52

Correct answer: 5.2

💡 Explanation: 156 ÷ 3 = 52. There is 1 decimal place in 15.6, so the answer has 1 decimal place: 5.2.
Standard8/3/2026

What is 10.05 − 3.7?

Your answer: 7.35

Correct answer: 6.35

💡 Explanation: Write 3.7 as 3.70. Then 10.05 − 3.70 = 6.35.
Standard8/3/2026

Estimate: 3.8 + 2.1 is closest to which whole number?

Your answer: 5

Correct answer: 6

💡 Explanation: Round each: 3.8 ≈ 4 and 2.1 ≈ 2. Estimate: 4 + 2 = 6.
Easy8/3/2026

What is 0.25 × 0.4?

Your answer: 1

Correct answer: 0.1

💡 Explanation: 25 × 4 = 100. Count decimal places: 2 + 1 = 3 total. Place decimal 3 from right: 0.100 = 0.1.
Challenge8/3/2026

A rope is 7.2 meters long. It is cut into 6 equal pieces. Then 0.15 meters is trimmed from one piece. How long is that trimmed piece?

Your answer: 1.p5

Correct answer: 1.05

💡 Explanation: 7.2 ÷ 6 = 1.2 meters per piece. Then 1.20 − 0.15 = 1.05 meters.
Challenge8/3/2026

What is 1.2 × 3.4?

Your answer: 4.03

Correct answer: 4.08

💡 Explanation: 12 × 34 = 408. Count decimal places: 1 + 1 = 2. Place decimal 2 from right: 4.08.
Standard8/3/2026

What is 0.4 × 3?

Your answer: 7

Correct answer: 1.2

💡 Explanation: 4 × 3 = 12. One decimal place in 0.4, so answer has one decimal place: 1.2.
Easy8/3/2026

What is 5.8 − 2.3?

Your answer: 2.5

Correct answer: 3.5

💡 Explanation: Line up decimals: 5.8 − 2.3. Tenths: 8 − 3 = 5. Ones: 5 − 2 = 3. Answer: 3.5.
Easy8/2/2026

What is 2.5 × 0.4 × 2?

Your answer: 20

Correct answer: 2

💡 Explanation: 2.5 × 0.4 = 1.0 (25 × 4 = 100, two decimal places → 1.00). Then 1.0 × 2 = 2.
Challenge8/2/2026

A bottle holds 1.75 liters of water. Emma fills 4 bottles. How many liters of water is that in total?

Your answer: Idk

Correct answer: 7

💡 Explanation: 1.75 × 4 = 7.00 = 7 liters. Multiply 175 × 4 = 700. Two decimal places → 7.00.
Word Problem8/1/2026

What is 9.6 ÷ 4?

Your answer: 2.1

Correct answer: 2.4

💡 Explanation: 96 ÷ 4 = 24. The dividend 9.6 has one decimal place, so the answer has one decimal place: 2.4.
Standard7/7/2026

What is 3.6 + 2.4?

Your answer: 66

Correct answer: 6

💡 Explanation: Line up decimals: 3.6 + 2.4. Tenths: 6 + 4 = 10, write 0 carry 1. Ones: 3 + 2 + 1 = 6. Answer: 6.0 = 6.
Easy7/7/2026

Coordinate Plane

In which quadrant is the point (-2, 5)?

Your answer: Quadrant IV

Correct answer: Quadrant II

💡 Explanation: x is negative (left) and y is positive (up). That puts it in Quadrant II (top-left).
Easy8/3/2026

Points A(1, 2), B(1, 8), and C(5, 8) form three corners of a rectangle. What is the area of the rectangle?

Your answer: 10

Correct answer: 24

💡 Explanation: Side AB (vertical): |8 - 2| = 6 units. Side BC (horizontal): |5 - 1| = 4 units. Area = 6 x 4 = 24 square units.
Challenge8/3/2026

Percentages

A price increased from $50 to $65. What is the percent increase?

Your answer: 15%

Correct answer: 30%

💡 Explanation: Increase = $65 - $50 = $15. Percent increase = 15 / 50 x 100 = 0.30 x 100 = 30%.
Challenge8/3/2026