Quantitative Reasoning, Algebra, and Statistics practice
Use equations, graphs, proportional reasoning, probability and data.
20 questions in full practice · No countdown
Back to ACCUPLACER subjectsA bike rental costs $8 plus $3 per hour. Which expression gives the cost for h hours?
Choose a practice drill
Eight questions at your own pace, with explanations after each question or passage group.
−3/4 + 5/6 = ?
Rational numbers
Practice rational numbers with original questions and worked explanations.
Five tickets cost $42.50. At the same price per ticket, what do eight cost?
Ratios and proportional relationships
Practice ratios and proportional relationships with original questions and worked explanations.
Simplify: x³ × x⁴.
Exponents
Practice exponents with original questions and worked explanations.
Simplify: 3(2x − 5) + 4x.
Algebraic expressions
Practice algebraic expressions with original questions and worked explanations.
Solve: 4x − 7 = 21.
Linear equations
Practice linear equations with original questions and worked explanations.
A line passes through (0, 2) and (3, 8). Find its slope.
Linear graphs and applications
Practice linear graphs and applications with original questions and worked explanations.
A bag contains 3 red counters and 5 blue counters.
What is the probability of drawing red at random?
Probability and sets
Practice probability and sets with original questions and worked explanations.
Find the median: 4, 7, 8, 11, 15.
Statistics
Practice statistics with original questions and worked explanations.
A triangle has a base of 12 cm and a height of 7 cm. Find its area.
Geometry
Practice geometry with original questions and worked explanations.
How to approach the questions
Connect rational numbers and ratios to algebraic expressions, linear equations and graphs. Interpret probability and statistics, and solve geometry problems.
Translate the situation into quantities and a relationship before calculating. State what a variable means, then check whether your answer makes sense in the original context.
Watch for: A graph’s intercept and slope answer different questions. Read axis labels and scales rather than judging a line by its appearance.
Read worked examplesA bike rental costs $8 plus $3 per hour. Which expression gives the cost for h hours?
QAS practice test
Complete the subject test without feedback between questions. Confirm each answer before moving on; review the full explanation set at the end.
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