Rational Numbers: Decimals, Fractions and Word Problems: Grade 7 Math Test – PDF Download

Question 1: Convert to decimals (2 points)

Use long division to write each fraction as a decimal.

1. \(\frac{7}{16}\) (1 point)
2. \(\frac{5}{12}\) (1 point)

Question 2: Is it exact? (2 points)

Ethan says that \(\frac{1}{6}=0.16\) exactly. Use long division to decide whether he is correct, and write the decimal form of \(\frac{1}{6}\) correctly.

Question 3: Order temperatures (2 points)

Four overnight temperatures in degrees F are \(-2.25,\ -2.6,\ -2.2,\ -2\frac{3}{4}\). Write them in order from least to greatest.

Question 4: Add and subtract (3 points)

Evaluate.

1. \(-4.8+7.35\) (1 point)
2. \(-\frac{5}{6}-\frac{1}{4}\) (1 point)
3. \((-\frac{3}{8})(-\frac{4}{9})\) (1 point)

Question 5: Multiply and divide (3 points)

Evaluate.

1. \((-2.4): 0.8\) (1 point)
2. \((-\frac{3}{4}): \frac{9}{10}\) (1 point)
3. \((-1.5)\times 2\frac{2}{3}\) (1 point)

Question 6: Overnight cold (3 points)

At 8 PM the temperature at Camp Pine was \(9.5^{\circ}\text{F}\). It changed by \(-2.75^{\circ}\text{F}\) each hour for 5 hours.

1. Find the total change in temperature. (1 point)
2. Find the temperature after 5 hours. (1 point)
3. The temperature then rises \(6.5^{\circ}\text{F}\). Find the new temperature. (1 point)

Question 7: Bank account (3 points)

Aisha's account balance is \(-\$12.40\) because it is overdrawn. She deposits $50.00 and then buys 3 items that cost $8.25 each.

1. Find the balance after the deposit. (1 point)
2. Find the total cost of the 3 items. (1 point)
3. Find the final balance. (1 point)

Question 8: Mean change (2 points)

A stock changed in price by \(-\$1.50\), \(+\$0.75\), \(-\$2.25\) and \(+\$1.00\) over four days. Find the mean daily change.

⬇ Download the Grade 7 Rational Numbers: Decimals, Fractions and Word Problems test (PDF, 88 KB)

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