Practice Test 11

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 11

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

Two friends split $90 in the ratio $4:5$. How many dollars is the larger share?

$80

$60

$40

$50

Two triangles are similar. The smaller triangle has sides of 5 cm and 8 cm. The side corresponding to the 5 cm side measures 10 cm in the larger triangle. How long is the side corresponding to the 8 cm side?

18 cm

8 cm

16 cm

13 cm

If $\dfrac{8}{9} = \dfrac{x}{36}$, what is the value of $x$?

A recipe uses 7 cups of flour for every 2 cups of sugar. If a baker uses 28 cups of flour, how many cups of sugar are needed?

Percents

40% of a number is 120. What is the number?

320

300

160

Write $\dfrac{7}{8}$ as a percent.

87.5%

92.5%

12.5%

82.5%

A jacket that normally costs $160 is on sale for 30% off. What is the sale price?

$112

$48

$104

$130

The Number System

What is $-10 + 12 - (-8)$?

-14

-10

-6

10.

What is the remainder when 166 is divided by 11?

11.

What is $(3 \times 10^{4}) \times (3 \times 10^{5})$ in scientific notation?

$9 \times 10^{8}$

$9 \times 10^{20}$

$9 \times 10^{9}$

$6 \times 10^{9}$

12.

$\sqrt{160}$ is between which two consecutive whole numbers?

11 and 12

13 and 14

12 and 13

14 and 15

Expressions & Equations

13.

Solve for $x$: $23 - 3x > 2$.

$x > 7$

$x < 7$

$x < -7$

$x > -7$

14.

Simplify: $\dfrac{x^{6} \cdot x^{6}}{x^{4}}$.

$x^{12}$

$x^{8}$

$x^{32}$

$x^{16}$

15.

Which expression represents “6 less than twice a number $n$”?

$6n - 2$

$6 - 2n$

$2n - 6$

$2(n - 6)$

16.

If $x + y = 19$ and $x - y = 5$, what is the value of $x$?

17.

Simplify: $3x - 6 + 4x - 7$.

$12x - 13$

$-6x$

$7x + 1$

$7x - 13$

Word Problems & Rates

18.

Maya has 12 coins, all quarters and dimes, worth $1.95 in total. How many quarters does she have?

19.

Leo is 4 years older than his sister. The sum of their ages is 28. How old is his sister?

20.

A train travels at a steady 60 miles per hour for 3.5 hours. How far does it travel?

240 miles

270 miles

210 miles

180 miles

21.

A bus travels 125 miles at a steady 50 miles per hour. How many hours does the trip take?

2.5 hours

3.5 hours

2 hours

3 hours

Geometry

22.

A right triangle has a hypotenuse of length 15 and one leg of length 9. What is the length of the other leg?

23.

Angles $A$ and $B$ are complementary. If angle $A$ measures 30°, what is the measure of angle $B$?

55°

150°

60°

65°

24.

What is the sum of the interior angles of a pentagon (5 sides)?

900°

540°

360°

720°

25.

What is the midpoint of the segment joining $(0, 6)$ and $(10, 0)$?

(10, 6)

(5, -3)

(3, 5)

(5, 3)

26.

What is the slope of the line through $(-2, 0)$ and $(0, -5)$?

$-\dfrac{2}{5}$

$\dfrac{5}{2}$

$-\dfrac{5}{2}$

$\dfrac{2}{5}$

Statistics & Probability

27.

A drawer has 3 white socks and 5 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?

$\dfrac{3}{32}$

$\dfrac{9}{64}$

$\dfrac{3}{8}$

$\dfrac{3}{28}$

28.

An outfit is one shirt, one pair of pants, and one hat. With 3 shirts, 5 pairs of pants, and 3 hats, how many different outfits are possible?

29.

A spinner has 11 equal sections and 4 of them are red. What is the probability that one spin lands on a section that is not red?

$\dfrac{6}{11}$

$\dfrac{8}{11}$

$\dfrac{4}{11}$

$\dfrac{7}{11}$

30.

What is the mean of the data set 7, 16, 30, 34, 28?