ISEE Lower Level fractions: practice questions
If you can only shore up one math topic before the ISEE Lower Level, make it fractions. They sit at the heart of Mathematics Achievement — equivalence, comparing, operations — and they power many of the “which is greatest” comparison items in Quantitative Reasoning, so one topic pays off in two sections. And because grades 4–5 is exactly when schools are still teaching fractions, it’s the strand most likely to be genuinely unfinished when your child sits the test. Below: five original practice questions with the methods worked out, then how to practice.
Practice questions
Sample question
1. Which fraction is greater than 3/4?
A2/3B5/8C7/8D7/12
Show answer & explanation
Answer: (C) — Give both fractions the same denominator, then compare numerators: 3/4 = 6/8, and 7/8 > 6/8, so 7/8 is greater. The others all come up short — 2/3 = 8/12 vs. 3/4 = 9/12; 5/8 vs. 6/8; 7/12 vs. 9/12. (A) 2/3 tempts kids who know it’s a “big” fraction, and (D) 7/12 tempts anyone comparing numerators alone (7 > 3). Same denominator first — then, and only then, compare tops.
Sample question
2. Which list shows the fractions 1/2, 3/8, and 2/3 arranged from least to greatest?
A3/8, 1/2, 2/3B1/2, 2/3, 3/8C2/3, 1/2, 3/8D3/8, 2/3, 1/2
Show answer & explanation
Answer: (A) — Benchmark against 1/2 first: 3/8 is less than 1/2 (3 is less than half of 8) and 2/3 is more than 1/2 (2 is more than half of 3) — so the order is 3/8, 1/2, 2/3 without any computation. To confirm with a common denominator of 24: 3/8 = 9/24, 1/2 = 12/24, 2/3 = 16/24. (B) orders by numerator (1, 2, 3), (C) runs greatest to least, and (D) assumes a bigger denominator always means a smaller fraction while ignoring the numerators.
Sample question
3. Which fraction is equivalent to 2/3?
A3/4B4/6C2/6D4/9
Show answer & explanation
Answer: (B) — Multiply the numerator and the denominator by the same number: 2/3 × 2/2 = 4/6. (A) 3/4 adds 1 to the top and bottom — adding doesn’t preserve a fraction’s value (3/4 = 9/12 but 2/3 = 8/12). (C) 2/6 doubles only the denominator (that’s 1/3), and (D) 4/9 doubles the top but triples the bottom (2/3 would be 6/9, not 4/9). The rule: whatever you do to the bottom, do identically to the top.
Sample question
4. 3/8 + 2/8 =
A5/16B5/8C6/8D1/8
Show answer & explanation
Answer: (B) — The denominators already match, so add the numerators and keep the denominator: 3 + 2 = 5, giving 5/8. (A) 5/16 adds the denominators too — the single most common fraction-addition error. (C) 6/8 multiplies the numerators (3 × 2) instead of adding, and (D) 1/8 subtracts. The idea to teach: the denominator names the size of the pieces; adding 3 eighths and 2 eighths gives 5 eighths, the same way 3 apples plus 2 apples gives 5 apples.
Sample question
5. There are 24 students in Ms. Okafor’s class. If 2/3 of the students take the bus home, how many students take the bus?
A8B12C16D21
Show answer & explanation
Answer: (C) — “2/3 of 24” means: divide 24 into 3 equal groups (24 ÷ 3 = 8 students per group), then take 2 of them (8 × 2 = 16). (A) 8 stops after the division — that’s 1/3 of the class. (B) 12 is half the class, from muddling 2/3 with 1/2. (D) 21 subtracts the denominator (24 − 3) instead of treating the fraction as an operation. Divide by the bottom, multiply by the top — in that order, every time.
How to practice fractions
- Benchmarks before algorithms. “Is it more or less than 1/2? Than 1?” settles most ISEE comparison questions in seconds — and it’s the reasoning the test actually rewards. Common denominators are the reliable fallback when benchmarks tie.
- Make equivalence automatic. Generating equivalents (2/3 = 4/6 = 8/12) is the gateway skill — comparing, ordering, and adding unlike fractions all reduce to it. Two minutes of “give me three fractions equal to 3/4” at the dinner table is real practice.
- Say the errors out loud. The wrong answers on the test are built from specific mistakes — adding denominators, comparing numerators alone. When your child names the trap (“that one added the bottoms”), they stop falling for it.
- Short and daily beats long and rare. A few mixed fraction questions a day, with the explanation read after each miss, builds more durable skill than an hour-long weekend worksheet.
Frequently asked questions
Why are fractions such a big deal on the ISEE Lower Level?
They appear in both math sections — as skills questions in Mathematics Achievement and inside the bare-value comparison questions in Quantitative Reasoning. And since grades 4–5 is when fractions are still being taught in school, it’s often the least-settled topic on test day, which makes it the highest-leverage one to practice.
My child can add fractions but misses the comparison questions. Why?
Comparison and ordering items are reasoning questions, not computation questions — the answer choices are bare values in a "which is greatest" or "least to greatest" frame. The fix is benchmark thinking (compare each fraction to 1/2 or to 1) with common denominators as the fallback, practiced until it’s fast.
Should we use worksheets or something adaptive?
Either works if it targets the actual gap. The key features are mixed formats (comparing and ordering, not just arithmetic), explanations your child reads after each miss, and short daily sessions. A diagnostic first tells you whether fractions are even the right topic to drill.
More ISEE guides
The ISEE Lower Level, explained for parentsISEE vs. SSAT: which test should your child take?How long does it take to prepare for the ISEE Lower Level?ISEE Lower Level Verbal Reasoning: what to expectISEE Lower Level Quantitative Reasoning: what to expectISEE Lower Level Reading Comprehension: passage types and question typesISEE Lower Level Mathematics Achievement: the topics listISEE Lower Level synonyms: practice questionsISEE Lower Level sentence completion: practice questionsISEE Lower Level scores: scaled scores, percentiles, and staninesISEE Lower Level test day: what to expectWhich ISEE level does my child take? (Primary, Lower, Middle, Upper)