HSPT Practice Exam 1 Quantitative Skills

Look at the series: III, VI, IX, XII, …
What number should come next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 4 + 6 + 6 – 8
II. 9 + 8 – 3 – 6
III. 8

Which sequence is in the correct order from least to greatest?

Look at the series: X, XX, XXX, __, L…
What number is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 5 + 4 – 7 + 6
II. 3 – 12 + 8 + 4
III. 2

What is the difference between two equal numbers?

Look at the series: \(Z^5, Y^7, X^9\), __, \(V^{13}\)…
Which letter is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 3 × 5
II. 15 ÷ 3
III. 1

What is the quotient of a number divided by itself?

Look at the series: \(A^V, B^X, C^{XV}, D^{XX}\)…
Which letter would come next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 14 × 2
II. 4 × 7
III. 28

Divide.

\(2\frac{7}{9} \div 2\frac{1}{3}\)

Look at the series: \(X, X^2, X^3,X^4\)…
What variable that would come next in the series?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 0.09
II. 0.90 – 0.81
III. 10 ÷ 100

Which fraction is the greatest?

Look at the series: √400, √200, ____, √50…
Which number is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. 8 × 5
II. 2 ÷ 12
III. 10 ÷ 0.4

In a backyard, ⅙ of the yard is a garden, ⅖ is landscaped, and ⅓ is for play. How much of the yard is available for other use?

Look at the series:

\(x^4y^3z^2\)
\(x^5y^4z^3\)
\(x^6y^5z^4\)
\(x^7y^6z^5\)

Which expression comes next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(\frac{1}{8}\)
II. \(\frac{3}{9}\)
III. \(\frac{9}{10}\)

A person has $250 in a checking account and writes checks for $70, $85, $60, and $100. There is also a fee of $20. What is the balance of the account?

Look at the series: √9, √16, √25, √36…
Which number comes next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(\frac{4}{12}\)
II. \(\frac{5}{5}\)
III. \(\frac{10}{6}\)

What shape is used to measure the distance between two cities on a map?

Look at the series: x + 4 x + 8, _____, x + 16, x + 20…
Which expression is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(\frac{2}{3} × \frac{1}{7}\)
II. \(\frac{3}{5} × \frac{5}{6}\)
III. \(\frac{3}{4}\)

Which statement about multiplication is true?

Look at the series: 0.11, 0.19, ___, 0.35, 0.43…
Which decimal is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(\frac{4}{7} ÷ \frac{4}{7}\)
II. \(\frac{1}{6} ÷ \frac{2}{4}\)
III. \(\frac{1}{8}\)

Multiply.

\(\frac{2}{5}\times 3\)

Look at the series: 1.6, 1.2, 0.8, 0.4…
Which decimal comes next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(\frac{3}{5} × \frac{2}{3}\)
II. \(\frac{1}{3} ÷ \frac{5}{9}\)
III. \(\frac{14}{15}\)

Write \(83.\overline{3}\%\) as a decimal.

Look at the series: 7, 14, ___, 28, 35…
Which number is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. The total number of miles walked in a week when Adam walks 1.5 miles, to and from school every day including weekends for sports practice.
II. The number of hours worked if Stacy works from 7AM-1PM on Friday, Saturday, and Sunday.
III. 15

Divide.

\(1\frac{9}{14} \div \frac{3}{5}\)

Look at the series: 2, 14, __, 686…
Which number is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. A paycheck for $50
II. Interest accumulated on an account of $3200 with a 15% rate
III. $480

Three vertices of a square are (3,-8), (8,-3),(8, -8). What is the fourth coordinate?

Look at the series: 3:6, ___, 5:10, 6:12…
Which ratio is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. The number of inches in a foot
II. The number of inches in a yard
III. 15

Which number is a prime factor of 108?

Look at the series: 1:2, 1:4, 1:6, 1:8…
Which ratio comes next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(9\)
II. \((-2)^2\)
III. \((-3)^3\)

Given the coordinates for a square, (-6, 6), (6,6), (6, -6), (-6, -6), find the length of each side of the square. 

Look at the series: 30°F, 26°F, 22°F, 18°F…
Which temperature comes next?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(12^1\)
II. \((5)^2\)
III. \((4)^3\)

Identify an arc of the circle.

Look at the series: 40π, __, 46π, 49π, 52π…
Which quantity is missing?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(√121\)
II. \(7^2\)
III. \(4^5\)

What is the prime factorization of 99?

Calculate and compare the values for I, II, and III in order to select the best answer.
I. \(15^2\)
II. \(√225\)
III. \(240\)