ALEKS Math Placement Exam Master Practice
Bank (2026-2027) – Comprehensive Review,
Practice Questions & Study Guide | College
Math Readiness
TIER 1 – Foundational Readiness (Arithmetic & Pre-Algebra) 20 Qs
Q1 Evaluate: ⅔ + ¾
A. 5/7 B. 1 5/12 C. 17/12 D. 1 1/12
Direct Input: 17/12 (or 1 5/12 if mixed-number format is forced)
Solution
Concept: Add fractions; LCD = 12.
⅔ = 8/12, ¾ = 9/12 → 8/12 + 9/12 = 17/12.
Distractors: A adds num & den (2+3)/(3+4); D mis-simplifies 17/12 as 1 1/12.
Q2 What is 18 % of 450 ?
A. 81 B. 810 C. 8.1 D. 0.81
Direct Input: 81
0.18 × 450 = 81.
B shifts decimal 1 place right; C shifts 1 left; D shifts 2 left.
Q3 Simplify: 4.8 ÷ 0.03
,A. 0.16 B. 1.6 C. 160 D. 16
Direct Input: 160
(4.8)/(0.03)=480/3=160.
A & B lose two powers of ten; D loses one.
Q4 Write 5/6 as an exact decimal.
A. 0.833 B. 0.8¯3 C. 0.83 D. 0.8333…
Direct Input: 0.83¯ (bar accepted as 0.8333…)
Long division 5÷6 repeats 3.
A & C truncate; D is correct but interface prefers bar notation.
Q5 Evaluate: 7² – √64 + 3³
A. 66 B. 58 C. 74 D. 48
Direct Input: 66
49 – 8 + 27 = 66.
B forgets 3³; C adds √64; D uses 7×2.
Q6 A 15 % tip on a $42.40 check is:
A. $6.36 B. $5.30 C. $4.24 D. $7.42
Direct Input: 6.36
0.15 × 42.40 = 6.36.
, B is 12.5 %; C is 10 %; D is 17.5 %.
Q7 Reduce to lowest terms: 48/64
A. 12/16 B. 6/8 C. 3/4 D. 24/32
Direct Input: 3/4
GCF = 16 → 3/4.
A-C stop early.
Q8 Compute: –5 + 7 – (–4)
A. –2 B. 6 C. 2 D. –6
Direct Input: 6
–5 + 7 = 2; 2 – (–4) = 6.
A drops last term; C forgets sign rule.
Q9 Find the mean of 8, 14, 21, 25, 32.
A. 19 B. 20 C. 21 D. 22
Direct Input: 20
Sum = 100; 100/5 = 20.
A uses median; C is mode-like.
Q10 If 3 cm on a map represents 15 km, then 7 cm represents how many km?
A. 35 B. 30 C. 45 D. 25
Bank (2026-2027) – Comprehensive Review,
Practice Questions & Study Guide | College
Math Readiness
TIER 1 – Foundational Readiness (Arithmetic & Pre-Algebra) 20 Qs
Q1 Evaluate: ⅔ + ¾
A. 5/7 B. 1 5/12 C. 17/12 D. 1 1/12
Direct Input: 17/12 (or 1 5/12 if mixed-number format is forced)
Solution
Concept: Add fractions; LCD = 12.
⅔ = 8/12, ¾ = 9/12 → 8/12 + 9/12 = 17/12.
Distractors: A adds num & den (2+3)/(3+4); D mis-simplifies 17/12 as 1 1/12.
Q2 What is 18 % of 450 ?
A. 81 B. 810 C. 8.1 D. 0.81
Direct Input: 81
0.18 × 450 = 81.
B shifts decimal 1 place right; C shifts 1 left; D shifts 2 left.
Q3 Simplify: 4.8 ÷ 0.03
,A. 0.16 B. 1.6 C. 160 D. 16
Direct Input: 160
(4.8)/(0.03)=480/3=160.
A & B lose two powers of ten; D loses one.
Q4 Write 5/6 as an exact decimal.
A. 0.833 B. 0.8¯3 C. 0.83 D. 0.8333…
Direct Input: 0.83¯ (bar accepted as 0.8333…)
Long division 5÷6 repeats 3.
A & C truncate; D is correct but interface prefers bar notation.
Q5 Evaluate: 7² – √64 + 3³
A. 66 B. 58 C. 74 D. 48
Direct Input: 66
49 – 8 + 27 = 66.
B forgets 3³; C adds √64; D uses 7×2.
Q6 A 15 % tip on a $42.40 check is:
A. $6.36 B. $5.30 C. $4.24 D. $7.42
Direct Input: 6.36
0.15 × 42.40 = 6.36.
, B is 12.5 %; C is 10 %; D is 17.5 %.
Q7 Reduce to lowest terms: 48/64
A. 12/16 B. 6/8 C. 3/4 D. 24/32
Direct Input: 3/4
GCF = 16 → 3/4.
A-C stop early.
Q8 Compute: –5 + 7 – (–4)
A. –2 B. 6 C. 2 D. –6
Direct Input: 6
–5 + 7 = 2; 2 – (–4) = 6.
A drops last term; C forgets sign rule.
Q9 Find the mean of 8, 14, 21, 25, 32.
A. 19 B. 20 C. 21 D. 22
Direct Input: 20
Sum = 100; 100/5 = 20.
A uses median; C is mode-like.
Q10 If 3 cm on a map represents 15 km, then 7 cm represents how many km?
A. 35 B. 30 C. 45 D. 25
