Number Patterns
What’s the next number? 3, 7, 15, 31, ___
63
What is 25% of 48?
12
A train travels 60 miles in 1.5 hours. What is its average speed?
40 mph
Simplify: 2x + 3x – 5
5x – 5
A square has a side length of 5. What is its area?
25
The nth term of a pattern is 2n + 3. What is the 10th term?
10
A recipe calls for 2 cups of sugar for every 5 cups of flour. How much sugar is needed for 12.5 cups of flour?
5 cups
If 3x + 5 = 20, find x.
5
If x/3 = 5, what is 2x + 4?
34
A triangle’s base is 10 cm and height is 8 cm. Find its area.
40 cm²
Which number doesn’t belong? 2, 4, 8, 10, 16
10
A shirt costs $40 and is on sale for 30% off. What’s the sale price?
$28
A bag contains 3 red, 5 blue, and 2 green marbles. What fraction are blue?
1/2
The square of a number is 49. Find the number.
±7
A circle has a diameter 14 cm. Find its circumference (π = 3.14).
43.96 cm
What’s the difference between the 8th and 5th term of 5n – 2?
15
The ratio of boys to girls is 5:7. If there are 84 students, how many are girls?
49 girls
Two consecutive integers have a sum of 45. What are the integers?
22 and 23
Solve for y: 4y – 6 = 10.
y = 4
Find the volume of a rectangular prism that measures 3 cm × 4 cm × 5 cm.
60 cm³
If a pattern doubles each time starting at 1, how many times must it double to exceed 1000?
10
The price increases from $80 to $100. What percent increase is that?
25%
A book is 20% longer than another. If the shorter is 150 pages, how long is the longer one?
180 pages
If a = 3 and b = 2a – 4, find a² – b².
5
A cylinder has a radius of 3 cm and height of 10 cm. Find its volume (π = 3.14).
282.6 cm³