Math Set 5

Word Problems

1. A store sells notebooks for $2.50 each. If Maria has $20, how many notebooks can she buy and how much change will she receive? (7 notebooks, $2.50 change | 8 notebooks, $0 change | 8 notebooks, $2.50 change | 7 notebooks, $3.50 change)
2. A car travels at 55 mph. How long will it take to travel 220 miles? (3 hours | 4 hours | 5 hours | 3.5 hours)
3. The sum of three consecutive integers is 84. What is the largest integer? (27 | 29 | 28 | 30)
4. A rectangle (108 cm² | 144 cm² | 72 cm² | 96 cm²)
5. John is 4 years older than twice Sarah (8 years old | 9 years old | 10 years old | 11 years old)
6. A tank contains 500 gallons of water. If water drains at 15 gallons per minute, how long until the tank is empty? (30 minutes | 33⅓ minutes | 35 minutes | 25 minutes)
7. The price of a jacket is reduced by 25%. If the sale price is $60, what was the original price? ($75 | $80 | $85 | $45)
8. Working together, Tom and Jerry can complete a job in 6 hours. If Tom works alone, it takes him 10 hours. How long would it take Jerry working alone? (12 hours | 15 hours | 18 hours | 20 hours)
9. A mix of nuts contains almonds and cashews in the ratio 3:2. If there are 500g of nuts total, how many grams of cashews are there? (300g | 200g | 250g | 150g)
10. After spending $45 on groceries, Lisa had 2/5 of her money left. How much money did she start with? ($60 | $75 | $90 | $100)

Probability

1. A bag contains 4 red, 6 blue, and 5 green marbles. What is the probability of drawing a blue marble? (6/15 = 2/5 | 4/15 | 5/15 = 1/3 | 10/15 = 2/3)
2. A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads? (1/4 | 3/8 | 1/2 | 1/8)
3. Two dice are rolled. What is the probability of getting a sum of 7? (1/6 | 1/12 | 7/36 | 5/36)
4. A spinner has 8 equal sections numbered 1-8. What is the probability of spinning an odd number or a number greater than 6? (4/8 = 1/2 | 6/8 = 3/4 | 5/8 | 7/8)
5. The probability of rain tomorrow is 0.35. What is the probability it will NOT rain? (0.35 | 0.65 | 0.70 | 1.35)
6. A card is drawn from a standard 52-card deck. What is the probability of drawing a face card (J, Q, or K)? (4/52 = 1/13 | 12/52 = 3/13 | 16/52 = 4/13 | 3/52)
7. In a class of 30 students, 18 play soccer and 15 play basketball. If 8 play both sports, what is the probability a randomly chosen student plays neither sport? (5/30 = 1/6 | 8/30 | 7/30 | 3/30 = 1/10)

Order of Operations

1. Evaluate: 3 + 4 × 5 - 8 ÷ 2 (19 | 31 | 27 | 11)
2. Evaluate: 2³ + 4 × (6 - 2) (24 | 40 | 28 | 20)
3. Evaluate: 48 ÷ (4 + 2)² - 1 (2 | 1.33 | 7 | 0)
4. Evaluate: |−5| × 3 + (−2)² (11 | 19 | 13 | 17)

Exponents

1. Simplify: 2⁴ × 2³ (2⁷ = 128 | 2¹² = 4096 | 4⁷ | 2⁷ = 64)
2. Simplify: (3²)³ (3⁵ = 243 | 3⁶ = 729 | 9³ = 729 | 3⁸ = 6561)
3. Simplify: 5⁶ ÷ 5² (5⁴ = 625 | 5³ = 125 | 5⁸ = 390625 | 1⁴ = 1)

Scientific Notation

1. Express 4,500,000 in scientific notation. (45 × 10⁵ | 4.5 × 10⁶ | 4.5 × 10⁷ | 0.45 × 10⁷)
2. Express 0.00032 in scientific notation. (3.2 × 10⁻³ | 3.2 × 10⁻⁴ | 32 × 10⁻⁵ | 3.2 × 10⁴)
3. Calculate: (3 × 10⁴) × (2 × 10³) (6 × 10⁷ | 5 × 10⁷ | 6 × 10¹² | 6 × 10¹)