KooBits Math Olympiad is a specialized digital training program designed to prepare primary school students for major competitions like the
Asia Pacific Mathematical Olympiad for Primary Schools (APMOPS)
Below is a practice paper modeled after the KooBits and APMOPS style, focusing on logical reasoning, number theory, and geometry for upper primary levels (Grades 5–6). KooBits Style Math Olympiad Practice Paper Time Allowed: 60 minutes Instructions: Solve each problem. No calculators are allowed. Section A: Logical Reasoning & Number Theory 1. The Missing Digit A 5-digit number is divisible by . What is the value of the digit Use the divisibility rule for (the sum of the digits must be divisible by The smallest multiple of greater than 2. The Speed Challenge
A train travels at a constant speed. It passes a stationary pole in seconds and crosses a bridge meters long in seconds. What is the length of the train in meters? be the length of the train and be the speed. Substitute into the second equation: Section B: Geometry & Visual Logic 3. Shaded Area In a square with a side length of koobits math olympiad
, a circle is inscribed so that it touches all four sides. What is the area of the region inside the square but outside the circle? (Use Calculation: Area of square Radius of circle Area of circle Shaded area Section C: Combinatorics 4. Handshake Problem At a Math Olympiad workshop, there are
students. If every student shakes hands with every other student exactly once, how many handshakes take place in total?
the fraction with numerator n open paren n minus 1 close paren and denominator 2 end-fraction Calculation: handshakes. Answer Key & Summary handshakes Final Answer KooBits Math Olympiad is a specialized digital training
The practice paper provided covers essential Olympiad topics including divisibility rules motion problems geometric area combinatorics more advanced paper for a specific grade level or focus on a different Math Olympiad competition like AMC or SASMO?
Problems typically cover:
The Singapore Math curriculum teaches 11 problem-solving heuristics (e.g., Act it out, Draw a diagram, Look for a pattern, Working backwards). The Olympiad is entirely about choosing the correct heuristic. Scoring and ranking: Points per problem
KooBits explicitly labels problems by heuristic in its "Challenge" area. When a child fails a problem, KooBits doesn't just give the answer—it shows a step-by-step animated model of why the "Guess and Check" or "Before and After" method works. This builds the metacognitive muscle needed for Olympiad success.
The Fix: For every KooBits problem, force your child to draw the bar model on paper before clicking the answer. Olympiad graders require working steps.