Original practice set (mixed topics) — Mixed-topic practice set. · Added Jun 23, 2026

Mixed Review 3

← All teststarget ~16:30 (90s/question, SHSAT pace)00:000 / 11 answered

The SHSAT runs about 90 seconds per question. This 11-question set ≈ 17 min — the timer counts up so you can track your pace.

1. Ratios & Proportional Relationships (RP)

1.
Marcus must read 900 pages for a project. It takes him 20 minutes to read the first 24 pages. At this rate, how many hours will it take him to read all 900 pages?
2.
A train travels 60 mph for 3 hours and 40 mph for 2 hours. What is its average speed for the entire trip?
3.
The table shows the price of three sizes of fabric. A designer bought an equal number of each size and spent $5,400 in total. What was the total amount of fabric, in square yards?
Fabric sizePrice per piece
⅓ square yard$150
⅔ square yard$300
1 square yard$450

2. The Number System (NS)

4.
What is the value of \(5 + (-2)^3 \div 4 - 6 \times (-1)\)?

3. Expressions & Equations (EE)

5.
The least of four consecutive integers is \(s\) and the greatest is \(t\). What is \(\dfrac{2t + s}{3}\) in terms of \(s\)?
6.
A positive integer, when divided by the square of itself, equals \(\tfrac{1}{4}\). Which equation represents this, using \(n\) for the integer?
7.
Simplify: \(4p(2q) + 5p - 3pq\).
8.
Factor completely: \(15cd + 10c\).

4. Geometry (G)

9.
The flat (deflated) circular outline of a ball has an area of \(16\pi\) square inches. When inflated into a sphere of the same radius, how much air can it hold?
10.
The four angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. What is the measure of the largest angle?

5. Statistics & Probability (SP)

11.
A stack contains exactly 12 books about space. The probability of randomly choosing a space book from the stack is \(\tfrac{3}{5}\). How many books in the stack are not about space?

Results