Full Test 16

← All teststarget ~45:00 (90s/question, SHSAT pace)00:000 / 30 answered

The SHSAT runs about 90 seconds per question. This 30-question set ≈ 45 min — the timer counts up so you can track your pace.

Ratios & Proportional Relationships

1.
If \(\dfrac{4}{5} = \dfrac{x}{15}\), what is the value of \(x\)?
2.
A recipe uses 7 cups of flour for every 2 cups of sugar. If a baker uses 35 cups of flour, how many cups of sugar are needed?
3.
On a map, 1 inch represents 40 miles. Two towns are 3.5 inches apart on the map. What is the actual distance between them?
4.
Apples cost $1.80 for 3 pounds. At the same rate, how much do 7 pounds cost?

Percents

5.
What is 15% of 180?
6.
A jacket that normally costs $40 is on sale for 30% off. What is the sale price?
7.
A meal costs $160 before tax. With a 5% tax added, what is the total cost?
8.
Weekly attendance rose from 360 to 450. What was the percent increase?

The Number System

9.
What is the value of \(6 + 4 \times 2^{4} - 2\)?
10.
What is the greatest common factor (GCF) of 32 and 48?
11.
What is the least common multiple (LCM) of 16 and 40?
12.
What is \(\dfrac{2}{3} \div \dfrac{4}{9}\)?

Expressions & Equations

13.
If \(8x + 2 = 4x + 26\), what is the value of \(x\)?
14.
What is the value of \(3a^2 + 2a\) when \(a = 6\)?
15.
Solve for \(x\): \(21 - 5x > 6\).
16.
Simplify: \(\dfrac{x^{7} \cdot x^{3}}{x^{2}}\).
17.
Which expression represents “5 less than four times a number \(n\)”?

Word Problems & Rates

18.
A train travels at a steady 30 miles per hour for 2 hours. How far does it travel?
19.
A bus travels 360 miles at a steady 80 miles per hour. How many hours does the trip take?
20.
One pump can drain a tank in 9 hours; a second pump can do it in 72 hours. Working together, how long do they take?
21.
The sum of three consecutive integers is 93. What is the largest of the three?

Geometry

22.
A rectangle is 11 cm long and 5 cm wide. What is its perimeter?
23.
Two angles of a triangle measure 60° and 40°. What is the measure of the third angle?
24.
A circle has a radius of 9 inches. What is its area?
25.
A rectangular box measures 8 cm × 5 cm × 3 cm. What is its volume?
26.
A right triangle has legs of length 8 and 15. What is the length of the hypotenuse?

Statistics & Probability

27.
A bag holds 3 red, 2 blue, and 5 green marbles. One marble is drawn at random. What is the probability that it is blue?
28.
A drawer has 4 white socks and 6 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?
29.
An outfit is one shirt, one pair of pants, and one hat. With 5 shirts, 2 pairs of pants, and 2 hats, how many different outfits are possible?
30.
A spinner has 13 equal sections and 4 of them are red. What is the probability that one spin lands on a section that is not red?

Results