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 15

← 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.
On a map, 1 inch represents 25 miles. Two towns are 5.5 inches apart on the map. What is the actual distance between them?
2.
Apples cost $1.05 for 3 pounds. At the same rate, how much do 8 pounds cost?
3.
Two friends split $54 in the ratio \(4:5\). How many dollars is the larger share?
4.
Two triangles are similar. The smaller triangle has sides of 6 cm and 10 cm. The side corresponding to the 6 cm side measures 24 cm in the larger triangle. How long is the side corresponding to the 10 cm side?

Percents

5.
A meal costs $120 before tax. With a 5% tax added, what is the total cost?
6.
A club grew from 180 members to 225 members. What was the percent increase?
7.
25% of a number is 55. What is the number?
8.
Write \(\dfrac{17}{20}\) as a percent.

The Number System

9.
What is \(-12 + 9 - (-5)\)?
10.
What is the remainder when 154 is divided by 9?
11.
What is \((2 \times 10^{5}) \times (4 \times 10^{5})\) in scientific notation?
12.
\(\sqrt{69}\) is between which two consecutive whole numbers?

Expressions & Equations

13.
Which expression represents “9 less than three times a number \(n\)”?
14.
If \(x + y = 8\) and \(x - y = 2\), what is the value of \(x\)?
15.
Simplify: \(5x + 3 + 3x + 5\).
16.
Simplify: \(4(4x + 2) - 10x\).
17.
If \(6x + 2 = 62\), what is the value of \(x\)?

Word Problems & Rates

18.
One pump can drain a tank in 6 hours; a second pump can do it in 12 hours. Working together, how long do they take?
19.
The sum of three consecutive integers is 114. What is the largest of the three?
20.
Maya has 18 coins, all quarters and dimes, worth $2.85 in total. How many quarters does she have?
21.
Leo is 2 years older than his sister. The sum of their ages is 30. How old is his sister?

Geometry

22.
A right triangle has a hypotenuse of length 13 and one leg of length 5. What is the length of the other leg?
23.
Angles \(A\) and \(B\) are supplementary. If angle \(A\) measures 155°, what is the measure of angle \(B\)?
24.
What is the sum of the interior angles of a decagon (10 sides)?
25.
What is the midpoint of the segment joining \((4, 4)\) and \((8, 10)\)?
26.
What is the slope of the line through \((-4, 4)\) and \((0, 1)\)?

Statistics & Probability

27.
A spinner has 19 equal sections and 8 of them are red. What is the probability that one spin lands on a section that is not red?
28.
What is the mean of the data set 14, 19, 36, 35, 21?
29.
What is the median of 10, 31, 8, 25, 38?
30.
Amir scored 76, 88, 97, 87 on his first four tests. What must he score on the fifth test to have a mean of exactly 85?

Results