Original full-spectrum practice (generated) — New SHSAT-style questions spanning all seven topic areas of the source materials — ratios & proportions, percents, number system, expressions & equations, word problems & rates, geometry, statistics & probability. Generated by generators/gen_full.py; every answer is computed, not hand-typed. · Added Jul 2, 2026

Practice Test 17

← 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.
Two friends split $81 in the ratio \(4:5\). How many dollars is the larger share?
2.
Two triangles are similar. The smaller triangle has sides of 6 cm and 10 cm. The side corresponding to the 6 cm side measures 18 cm in the larger triangle. How long is the side corresponding to the 10 cm side?
3.
If \(\dfrac{5}{6} = \dfrac{x}{24}\), what is the value of \(x\)?
4.
A recipe uses 5 cups of flour for every 4 cups of sugar. If a baker uses 30 cups of flour, how many cups of sugar are needed?

Percents

5.
75% of a number is 210. What is the number?
6.
Write \(\dfrac{13}{25}\) as a percent.
7.
What is 85% of 240?
8.
A jacket that normally costs $40 is on sale for 10% off. What is the sale price?

The Number System

9.
What is \(-10 + 9 - (-4)\)?
10.
What is the remainder when 193 is divided by 13?
11.
What is \((2 \times 10^{3}) \times (3 \times 10^{5})\) in scientific notation?
12.
\(\sqrt{61}\) is between which two consecutive whole numbers?

Expressions & Equations

13.
If \(x + y = 22\) and \(x - y = 8\), what is the value of \(x\)?
14.
Simplify: \(6x - 6 + 7x - 2\).
15.
Simplify: \(3(3x - 3) - 1x\).
16.
If \(9x + 5 = 32\), what is the value of \(x\)?
17.
If \(7x - 4 = 2x + 11\), what is the value of \(x\)?

Word Problems & Rates

18.
Maya has 17 coins, all quarters and dimes, worth $2.45 in total. How many quarters does she have?
19.
Leo is 8 years older than his sister. The sum of their ages is 44. How old is his sister?
20.
A train travels at a steady 44 miles per hour for 3.5 hours. How far does it travel?
21.
A bus travels 225 miles at a steady 50 miles per hour. How many hours does the trip take?

Geometry

22.
A right triangle has a hypotenuse of length 17 and one leg of length 8. What is the length of the other leg?
23.
Angles \(A\) and \(B\) are supplementary. If angle \(A\) measures 115°, what is the measure of angle \(B\)?
24.
What is the sum of the interior angles of a 12-gon (12 sides)?
25.
What is the midpoint of the segment joining \((6, 4)\) and \((14, -2)\)?
26.
What is the slope of the line through \((1, -1)\) and \((6, 3)\)?

Statistics & Probability

27.
What is the mean of the data set 17, 8, 19, 7, 24?
28.
What is the median of 13, 33, 40, 9, 30?
29.
Amir scored 79, 83, 97, 71 on his first four tests. What must he score on the fifth test to have a mean of exactly 80?
30.
A bag holds 4 red, 2 blue, and 6 green marbles. One marble is drawn at random. What is the probability that it is blue?

Results