142 practice questions covering Fractions, organised into 0 topics.
142 questions include a written explanation.
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Sample questions
Q1
medium
Where does $\frac{13}{5}$ lie on the number line?
ABetween $1$ and $2$
BBetween $2$ and $3$
CBetween $3$ and $4$
DBetween $12$ and $13$
Show answer and explanation
Correct answer: B - Between $2$ and $3$
Since $\frac{13}{5} = 2\frac{3}{5}$, it lies between $2$ and $3$. Dividing $13$ by $5$ gives $2$ wholes with $3$ left over, so it is neither below $2$ nor above $3$.
Q2
easy
When two fractions have the same numerator, which is larger?
AThe one with more digits
BThe one with the smaller denominator
CThe one with the larger denominator
DThey are always equal
Show answer and explanation
Correct answer: B - The one with the smaller denominator
A smaller denominator means fewer, larger parts, so $\frac{3}{4}$ exceeds $\frac{3}{8}$. The number of digits is irrelevant, and equal numerators do not make fractions equal.
Q3
medium
Which of these fractions is greater than $1$?
A$\frac{5}{8}$
B$\frac{7}{8}$
C$\frac{8}{8}$
D$\frac{11}{8}$
Show answer and explanation
Correct answer: D - $\frac{11}{8}$
Since $11 > 8$, the fraction $\frac{11}{8}$ exceeds one whole. The fraction $\frac{8}{8}$ equals exactly $1$, and $\frac{7}{8}$ and $\frac{5}{8}$ are both less than $1$.
Q4
hard
Five identical chocolate bars are shared equally among $8$ children. How much does each child get?
A$\frac{8}{5}$ of a bar
B$1\frac{3}{5}$ bars
C$\frac{5}{8}$ of a bar
D$\frac{5}{13}$ of a bar
Show answer and explanation
Correct answer: C - $\frac{5}{8}$ of a bar
Sharing $5$ wholes among $8$ children gives $\frac{5}{8}$ of a bar each. The fraction $\frac{8}{5}$ reverses the sharing, $\frac{5}{13}$ adds the numbers wrongly, and $1\frac{3}{5}$ would need more bars than children.
Q5
hard
A $2$ metre ribbon is cut into pieces each $\frac{1}{4}$ metre long. How many pieces are obtained?
A$16$
B$2$
C$4$
D$8$
Show answer and explanation
Correct answer: D - $8$
Each metre yields $4$ quarter-metre pieces, so $2$ metres yield $8$. Answering $4$ covers only one metre, $2$ repeats the length, and $16$ would need $4$ metres.
Q6
hard
A recipe uses $\frac{1}{4}$ cup of oil, $\frac{1}{4}$ cup of milk and $\frac{1}{2}$ cup of water. How many cups of liquid in all?
A$1$ cup
B$\frac{1}{2}$ cup
C$\frac{3}{4}$ cup
D$\frac{3}{10}$ cup
Show answer and explanation
Correct answer: A - $1$ cup
Writing everything in quarters gives $\frac{1}{4} + \frac{1}{4} + \frac{2}{4} = \frac{4}{4} = 1$ cup. Answering $\frac{3}{4}$ misses one quarter, and $\frac{3}{10}$ wrongly adds the denominators.
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