CHSPE Practice Questions (2026) — Free Sample Questions with Answers

Answer: C

20 feet: 20 sets up the ratio upside down (30 × 4/6); taller objects cast longer shadows, so the tree must be taller than its shadow here.

32 feet: 32 adds the 2-foot difference between the person's height and shadow; the relationship is multiplicative, not additive.

45 feet: Correct. Height/shadow is the same for both: 6/4 = h/30, so h = 30 × 1.5 = 45 feet.

180 feet: 180 multiplies the person's height by the tree's shadow without dividing by the person's shadow.

Objects and their shadows at the same time form similar triangles: height₁/shadow₁ = height₂/shadow₂.

Answer: D

1/2: 1/2 is run over rise (4/8); slope is rise over run.

−2: The line rises from left to right (y increases as x increases), so the slope is positive.

3/2: 3/2 uses 7 − 1 = 6 for the rise, dropping the negative sign on −1.

2: Correct. Slope = (7 − (−1)) ÷ (6 − 2) = 8 ÷ 4 = 2.

Slope m = (y₂ − y₁) ÷ (x₂ − x₁). Watch the signs when subtracting a negative coordinate.

Answer: C

He has decided to give up basketball for good.: He starts shooting right away, the opposite of quitting.

He is angry at the coach who posted the list.: The passage shows no anger toward anyone; it shows disappointment followed by practice.

He is determined to improve despite the setback.: Correct. After failing to make the list, he goes straight to the courts and begins to practice.

He is waiting for friends to meet him at the courts.: The courts are empty, and no friends are mentioned.

A character's actions after a setback often reveal their traits more clearly than their words.

Answer: D

Teen and adult classes meet in the morning.: Teen/Adult classes meet from 6:00 to 7:00 p.m., in the evening.

Nonresidents pay $15 less for each session.: Nonresidents pay $15 more ($75 versus $60), not less.

Session B begins during the last week of June.: Session B begins July 8; Session A is the one held in June.

An 8-year-old may join the Beginner or Intermediate class.: Correct. The Beginner class covers ages 6–9 and the Intermediate class covers ages 8–12, so 8- and 9-year-olds fit both.

Check each statement against specific details; overlapping ranges (ages 8–9 here) are a common source of interpretation questions.

Answer: B

Similarly: "Similarly" signals agreement, but the second sentence contradicts the common belief.

However: Correct. The second sentence contrasts with the belief in the first, so a contrast transition is needed.

For example: The second sentence does not give an example of cacti needing no water; it challenges that idea.

As a result: Regular watering is not a result of the belief that cacti need no water.

Identify the logical relationship between the sentences first — contrast (however), addition (also), example (for example), cause/effect (as a result) — then choose the transition.

Answer: C

The game was canceled, the field was flooded.: This is a comma splice: two complete sentences joined by only a comma.

The game was canceled; because the field was flooded.: A semicolon must join two independent clauses; "because the field was flooded" is a dependent clause.

The game was canceled; the field was flooded.: Correct. A semicolon correctly joins two closely related independent clauses.

The game, was canceled the field was flooded.: The comma wrongly separates the subject from its verb, and the two clauses run together.

Join two independent clauses with a period, a semicolon, or a comma plus a coordinating conjunction (and, but, so) — never a comma alone.