PAPA PAPA Number Sense & Operations — Questions and Answers

Question 1: What is the value of 3/4 + 5/6?

8/10
19/12 (Correct answer)
8/12
15/24

Correct answer: 19/12

Finding a common denominator of 12 gives 9/12 + 10/12 = 19/12.

Question 2: Which of the following is equivalent to 0.375?

3/4
3/8 (Correct answer)
1/3
5/8

Correct answer: 3/8

0.375 = 375/1000, which simplifies to 3/8.

Question 3: A jacket costs $80 and is on sale for 25% off. What is the sale price?

$20
$55
$60 (Correct answer)
$65

Correct answer: $60

25% of $80 is $20, so the sale price is $80 − $20 = $60.

Question 4: What is the least common multiple (LCM) of 8 and 12?

4
24 (Correct answer)
48
96

Correct answer: 24

The multiples of 8 are 8, 16, 24… and of 12 are 12, 24…, so the LCM is 24.

Question 5: Which number is between 2/5 and 3/4?

1/5
1/2 (Correct answer)
4/5
7/8

Correct answer: 1/2

2/5 = 0.40 and 3/4 = 0.75; 1/2 = 0.50, which falls between them.

Question 6: A recipe calls for 2 1/2 cups of flour. If you want to make 3 times the recipe, how many cups of flour do you need?

5 cups
6 cups
7 1/2 cups (Correct answer)
8 cups

Correct answer: 7 1/2 cups

2 1/2 × 3 = 5/2 × 3 = 15/2 = 7 1/2 cups.

Question 7: What is the greatest common factor (GCF) of 36 and 48?

6
9
12 (Correct answer)
18

Correct answer: 12

The factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, 36; factors of 48 include 12; the greatest common factor is 12.

Question 8: If a car travels 240 miles on 8 gallons of gas, what is its fuel efficiency in miles per gallon?

20 mpg
28 mpg
30 mpg (Correct answer)
32 mpg

Correct answer: 30 mpg

240 miles ÷ 8 gallons = 30 miles per gallon.

Question 9: Which of the following represents the number 4.07 × 10³ in standard form?

0.00407
40.7
407
4,070 (Correct answer)

Correct answer: 4,070

Moving the decimal point 3 places to the right gives 4,070.

Question 10: A store sells 3 notebooks for $4.50. At this rate, what is the cost of 7 notebooks?

$9.00
$10.50 (Correct answer)
$12.00
$13.50

Correct answer: $10.50

The unit price is $4.50 ÷ 3 = $1.50; 7 × $1.50 = $10.50.

Question 11: What is 15% of 240?

30
36 (Correct answer)
40
45

Correct answer: 36

15% × 240 = 0.15 × 240 = 36.

Question 12: Which set of numbers is ordered from least to greatest?

0.45, 2/5, 1/2, 0.6
2/5, 0.45, 1/2, 0.6 (Correct answer)
1/2, 2/5, 0.45, 0.6
0.6, 1/2, 0.45, 2/5

Correct answer: 2/5, 0.45, 1/2, 0.6

2/5 = 0.40, 0.45, 1/2 = 0.50, 0.6 — these are in ascending order.

Question 13: A pizza is divided into 8 equal slices. If 5 slices have been eaten, what percentage of the pizza remains?

37.5% (Correct answer)
40%
62.5%
75%

Correct answer: 37.5%

3 slices remain out of 8 total; 3/8 = 0.375 = 37.5%.

Question 14: Which of the following is a prime number?

21
27
37 (Correct answer)
51

Correct answer: 37

37 has no factors other than 1 and itself, making it a prime number.

Question 15: What is the value of |−15| + |−8|?

−23
7
−7
23 (Correct answer)

Correct answer: 23

The absolute value of −15 is 15 and of −8 is 8; 15 + 8 = 23.

Question 16: Maria earns $12.50 per hour. She works 35 hours per week. What are her weekly earnings?

$375.00
$415.00
$437.50 (Correct answer)
$450.00

Correct answer: $437.50

$12.50 × 35 = $437.50.

Question 17: What is the result of (−4) × (−7)?

−28
−11
11
28 (Correct answer)

Correct answer: 28

The product of two negative numbers is always positive: (−4)(−7) = 28.

Question 18: A population increases by 8% each year. If the current population is 25,000, what will it be after one year?

25,800
27,000 (Correct answer)
27,800
28,000

Correct answer: 27,000

8% of 25,000 is 2,000; 25,000 + 2,000 = 27,000.

Question 19: Which of the following fractions is in its simplest form?

6/9
8/20
9/27
7/11 (Correct answer)

Correct answer: 7/11

7 and 11 share no common factors other than 1, so 7/11 is already fully simplified.

Question 20: A train travels at a speed of 90 miles per hour. How far will it travel in 2 hours and 30 minutes?

180 miles
200 miles
225 miles (Correct answer)
270 miles

Correct answer: 225 miles

2.5 hours × 90 mph = 225 miles.

Question 21: If you divide −48 by 6, what is the result?

−8 (Correct answer)
−6
6
8

Correct answer: −8

A negative divided by a positive gives a negative result: −48 ÷ 6 = −8.

PAPA PAPA Number Sense & Operations

What is the value of 3/4 + 5/6?

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Sources & references

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