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15 | P a g e
JUNIOR SCHOOL (continued)
FOR ADMISSION TO CLASS: Grade 5 or K-5 (Guide only)
MATHEMATICS (40 marks, 1 hour)
Note: Use of calculator is not allowed.
Questions will be based on some or all of the following topics:
1. Decimal numeration
system
Find place value in numbers up to 7 digits.
Read and write numbers in words and figures (5–7 digits).
Order numbers up to 1,000,000 (ascending/descending).
2.Mathematical operations
Add and subtract whole numbers up to 7 digits.
Multiply whole numbers (up to 5-digit × 2-digit).
Divide whole numbers (dividend up to 999,999 ÷ divisor up
to 2 digits).
Solve word problems using the four operations.
Understand the distributive property of multiplication.
3. Shapes and measures
Recognise tetrahedral and square pyramidal 3-D shapes
(faces, edges, corners, base, apex).
Identify regions, boundaries, and interiors of 2-D shapes
(triangle, quadrilateral).
Understand, measure, and classify angles (acute, obtuse, right,
straight, reflex).
Identify congruent angles.
Work with triangles (find missing angle when two are given).
Know properties of quadrilaterals.
4. Fractions
Simplify fractions and find equivalent fractions.
Convert between improper and mixed fractions.
5. Operations on common
fractions
Add and subtract like/unlike fractions and mixed fractions.
Multiply two and three common fractions.
Divide common fractions.
Solve word problems on addition and subtraction of fractions.
Understand tenths, hundredths, thousandths.
Read, write, and compare decimals up to 3 decimal places.
Add and subtract decimal fractions.
6. Compound quantities
Convert, add, and subtract currency.
Convert, add, and subtract lengths (m and cm only).
7. Area and perimeter
Find perimeters of triangles (m and cm only).
Solve perimeter word problems.
Understand area and its units (cm², m², km²).
Calculate area of rectangles and squares using formula.
Solve area word problems.
8. Volume
Understand volume and its units (m³).
Calculate volume of cube and cuboid using formula.
Solve word problems on volume.
9. Graphs
Interpret graphs (e.g dot graphs, line graphs, and bar graphs)