Fractions
What is 1/4 + 1/4?
1/2
What is 50% of 40?
20
Find the nth term of the sequence: 2, 4, 6, 8, 10...
The nth term is 2n.
What is the probability of rolling a 3 on a fair 6-sided die?
There is 1 favorable outcome (rolling a 3) out of 6 possible outcomes, so the probability is 1/6.
Simplify the fraction: 12/18.
2/3
Which is greater: 2/3 or 3/4?
3/4
What is 25% of 80?
20
Find the nth term of the sequence: 5, 8, 11, 14, 17...
The nth term is 3n + 2.
What is the probability of drawing a red card from a standard deck of 52 cards (26 red cards)?
There are 26 red cards in a deck, so the probability is 26/52 = 1/2.
Convert 0.75 to a fraction.
3/4
What is 7/8 - 1/4?
5/8
What is 10% of 150?
15
Find the nth term of the sequence: 10, 7, 4, 1, -2...
The nth term is -3n + 13.
A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. What is the probability of drawing a blue marble?
There are 3 + 5 + 2 = 10 marbles in total, and 5 of them are blue, so the probability is 5/10 = 1/2.
The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
For every 3 boys, there are 5 girls.
Set up a proportion:
3/5 = 24/x
x = (24 × 5) / 3 = 40 girls.
What is 2/5 × 3/4?
6/20 or 3/10
What is 75% of 120?
90
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What is the probability of flipping a coin and getting either heads or tails?
There are 2 possible outcomes: heads or tails, and both are favorable. Therefore, the probability is 2/2 = 1
Find the mean, median, and mode of the following numbers: 2, 4, 4, 7, 10.
Mean: (2 + 4 + 4 + 7 + 10) / 5 = 27 / 5 = 5.4
Median: The middle number is 4.
Mode: The number 4 appears twice, so the mode is 4.
John has 3/4 of a candy bar. He gives 1/2 of it to his friend. How much does his friend get?
3/4 × 1/2 = 3/8
A store is having a 20% off sale on a $60 jacket. How much will the jacket cost after the discount?
20% of $60 = 0.20 × 60 = 12
$60 - $12 = $48
Find the nth term of the sequence: 4, 9, 16, 25, 36...
The nth term is n².
A box contains 4 red balls, 3 blue balls, and 5 green balls. If one ball is drawn at random, what is the probability of drawing a red or green ball?
The total number of balls is 4 + 3 + 5 = 12. The favorable outcomes are drawing a red (4) or green (5) ball, so the total favorable outcomes are 4 + 5 = 9.
The probability is 9/12 = 3/4.
Find the area of a triangle with base 10 cm and height 6 cm.
Area = (Base × Height) / 2 = (10 × 6) / 2 = 30 cm².