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Term 1 Quiz 6&7

Authored by Sally Morgan

Mathematics

9th Grade

Used 2+ times

Term 1 Quiz 6&7
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15 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

To evaluate \( \frac{1}{4} \div \frac{6}{7} \), multiply by the reciprocal: \( \frac{1}{4} \times \frac{7}{6} = \frac{7}{24} \). Thus, the correct answer is \( \frac{7}{24} \).

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

To evaluate \(2\frac{1}{2} \div \frac{7}{4}\), first convert \(2\frac{1}{2}\) to an improper fraction: \(\frac{5}{2}\). Then, divide by \(\frac{7}{4}\) by multiplying by its reciprocal: \(\frac{5}{2} \times \frac{4}{7} = \frac{20}{14} = \frac{10}{7}\). Thus, the correct answer is \(\frac{10}{7}\).

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

-2.67

6

7.5

8

Answer explanation

First, calculate -15 × (2/15) = -2. Then, evaluate 4^2 ÷ 2 = 8. Finally, combine the results: -2 + 8 = 6. Thus, the correct answer is 6.

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A $200 000 mortgage incurs $12 000 of interest each year. Write this as a percentage rate (e.g. write interest as a percentage of the principal).

5%

6%

7%

8%

Answer explanation

To find the interest rate, divide the annual interest ($12,000) by the principal ($200,000) and multiply by 100. This gives (12,000 / 200,000) * 100 = 6%. Therefore, the correct answer is 6%.

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calculate the interest paid on a 3 year loan of $65 000 with an interest rate of 7%.

Step 1: Convert the rate into a decimal

Step 2: Multiply the Principal by the decimal rate

Step 3: Multiply by the number of years

$4 550

$136 500

$13 650

$455 000

Answer explanation

To find the interest, convert 7% to 0.07. Then, multiply the principal ($65,000) by the rate (0.07) to get $4,550. Finally, multiply by 3 years: $4,550 x 3 = $13,650. Thus, the correct answer is $13,650.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A 3-year loan charges $900 interest. How much interest is charged each year?

$600

$900

$300

$100

Answer explanation

To find the annual interest, divide the total interest by the number of years. $900 ÷ 3 years = $300 per year. Thus, the correct answer is $300.

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A loan lasts 4.5 years and requires monthly payments. How many payments must be made?

12

45

48

54

Answer explanation

A loan lasting 4.5 years requires monthly payments. To find the total payments, multiply 4.5 years by 12 months/year: 4.5 * 12 = 54. Therefore, the correct answer is 54.

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