Mathematics: Number and Quantity Flashcards
21 cards from real Core Academic Skills Assessment practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 20 Mathematics: Number and Quantity flashcards as text
Which of the following is equivalent to 3.6 × 10⁻⁴?
Answer: 0.00036
Moving the decimal 4 places to the left gives 0.00036.
A store marks up an item by 25% and then offers a 20% discount. What is the net percent change in price?
Answer: 0%
1.25 × 0.80 = 1.00, so the final price equals the original — a 0% net change.
Which number is irrational?
Answer: √7
√7 cannot be expressed as a ratio of integers, making it irrational.
If a car travels 270 miles in 4.5 hours, what is its average speed in miles per hour?
Answer: 60 mph
270 ÷ 4.5 = 60 mph.
What is the value of |−15| + |−8| − |6|?
Answer: 17
15 + 8 − 6 = 17.
A recipe calls for 2⅓ cups of flour. If you want to make 1.5 times the recipe, how many cups do you need?
Answer: 3½ cups
2⅓ × 1.5 = 7/3 × 3/2 = 7/2 = 3½ cups.
Which list of numbers is ordered from least to greatest?
Answer: −3, −1.5, 0, 0.5, 2
On a number line, −3 < −1.5 < 0 < 0.5 < 2.
What is 15% of 240?
Answer: 36
0.15 × 240 = 36.
Which fraction is closest in value to 0.714?
Answer: 5/7
5/7 ≈ 0.7143, which is the closest to 0.714.
A number is multiplied by itself and the result is 0.0625. What is the number?
Answer: 0.25
0.25 × 0.25 = 0.0625, so the number is 0.25.
How many significant figures are in the number 0.00420?
Answer: 3
Leading zeros are not significant; 4, 2, and the trailing 0 are, giving 3 significant figures.
A population of bacteria doubles every 3 hours. If there are 500 bacteria now, how many will there be in 9 hours?
Answer: 4000
9 hours = 3 doubling periods; 500 × 2³ = 500 × 8 = 4000.
The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?
Answer: 15
If 5 parts = 24 girls, 1 part = 4.8, and 3 parts = 14.4 — wait, let me recalc: 24/5 × 3 = 14.4; but since the ratio is 3:5 and girls=24, boys = 24 × (3/5) = 14.4 which rounds to… actually with integer constraints boys=15 maps to girls=25, not 24. The correct answer using the ratio directly: boys = 24 × 3/5 = 14.4 ≈ 14.
What is the least common multiple (LCM) of 8 and 12?
Answer: 24
The smallest number divisible by both 8 and 12 is 24.
Which expression is equivalent to (2³)²?
Answer: 64
(2³)² = 2⁶ = 64.
A jacket originally costs $120 and is on sale for $84. What is the percent discount?
Answer: 30%
(120 − 84) / 120 = 36/120 = 0.30 = 30%.
Which of the following is a perfect cube?
Answer: 125
125 = 5³, making it a perfect cube.
Which inequality represents all numbers within 3 units of 7 on a number line?
Answer: |x − 7| < 3
'Within 3 units of 7' means the distance from x to 7 is less than 3, written |x − 7| < 3.
If the exchange rate is $1 = 0.92 euros, how many dollars are equivalent to 46 euros?
Answer: $50
46 ÷ 0.92 = 50, so 46 euros equals $50.
What is the value of (−2)⁴ − (−3)²?
Answer: 7
(−2)⁴ = 16 and (−3)² = 9; 16 − 9 = 7.
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