Does your child get confused by math word problems that involve “giving out sweets” or “sharing markers” where there is always some left over or not enough?
These are known as Excess and Shortage problems. While they look complicated, they follow a very specific pattern. If your child is still trying to use “Guess and Check” to solve them, they are likely wasting precious time during their exams.
At LevelUp Tuition, we teach students a foolproof 3-step formula to crack these questions in under two minutes.
The 3-Step "Gap and Difference" Formula
 These problems always describe two different scenarios.
Scenario A: If I give 3 sweets to each student, I have 4 sweets left over (Excess).
Scenario B: If I give 5 sweets to each student, I am short of 6 sweets (Shortage).
The Goal: Find the number of students or the total number of sweets.
What is an Excess and Shortage Problem?
 Instead of guessing, use this simple logical flow:
Step 1: Find the “Total Gap” If you have an Excess in one scenario and a Shortage in the other, you add them together to find the total gap.
4 (Excess) + 6 (Shortage) = 10 sweets (Total Gap)
Step 2: Find the “Difference in Units” Look at the difference between the two sharing amounts.
5 sweets – 3 sweets = 2 sweets (Difference per student)
Step 3: Divide to find the Number of People Divide the Total Gap by the Difference in Units.
10 Ă· 2 = 5 students
Final Check:Â To find the total sweets, use Scenario A: (5 students Ă— 3) + 4 =Â 19 sweets.
@leveluptuitionsg Excess and shortage question tutorial! One of the most confusing heuristics. Watch this video for an easy trick to solve them, especially number 7! #MathTips #PSLEMath #StudyHacks #MathTutorial #CapCut ♬ original sound - Principal Kydon the Best Tutor - LevelUp Tuition
Why the LevelUp Method Works
We don’t just teach the formula; we ensure the student can apply it independently through our unique materials.
The Second Attempt Protocol: If a student misses the “Gap” logic on their first try, our Second Attempt system requires them to re-tackle a similar problem a few days later. This builds the high-speed muscle memory needed for the PSLE
Spaced Repetition: The learning technique that involves reviewing information at increasing intervals to interrupt the “forgetting curve” and solidify knowledge into long-term memory. Re-attempting these complex problems over spaced intervals allow students to move beyond memorizing a formula to developing the “muscle memory” needed to instantly recognize and solve the 3-step “Gap and Difference” pattern during high-pressure exams
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