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177 problems, every one written from scratch, every wrong answer carrying the mistake that produces it. 708 explanations in all.

Level

1–2
3–4
5–6
7–8
9–10
11–12

Point value

3 pt
4 pt
5 pt

Strand

NUMNumber & Arithmetic
CNTCounting
GEOGeometry & Visualization
LOGLogic & Deduction
PATPatterns & Sequences
MODModeling & Word Problems
CFTContest Craft

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72 problemsClear all filters

KA-0033
4 points, difficulty 2 of 3Level 5–6not yet calibrated
The mean of five numbers is 12. One of the numbers is removed and the mean of the remaining four is 11. What number was removed?
NUM-15Means, and working backwards from a meanalso LOG-08
KA-0036
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Ravi cycles 12 km at 24 km per hour, then walks 6 km at 4 km per hour. How many minutes does the whole journey take?
MOD-03Rate, time, distancealso MOD-07
KA-0039
4 points, difficulty 2 of 3Level 5–6has a figurenot yet calibrated
A flag shape is rotated a quarter turn clockwise about its bottom-left corner. Which of the descriptions matches the result?
GEO-09Reflections, rotations, translationsalso GEO-08
KA-0042
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A photograph is enlarged so that each side becomes 3 times as long. How many times bigger is its area?
GEO-16Scaling and similar figuresalso GEO-01, NUM-11
KA-0044
4 points, difficulty 2 of 3Level 5–6not yet calibrated
One tap fills a tank in 6 hours and another fills it in 3 hours. With both running, how long does the tank take to fill?
MOD-04Combined work ratesalso MOD-03, NUM-09
KA-0046
4 points, difficulty 2 of 3Level 3–4not yet calibrated
How many 2 by 2 squares fit on a 4 by 4 board, if they must line up with the grid?
CNT-12Counting by position (sliding window)also CNT-04
KA-0053
4 points, difficulty 2 of 3Level 5–6not yet calibrated
What is the remainder when 2 to the power 30 is divided by 7?
NUM-06Remainders and modular cyclesalso PAT-03, NUM-07
KA-0056
4 points, difficulty 2 of 3Level 3–4not yet calibrated
The two digits of a number are swapped and the number gets bigger by 36. Which of these could be the number?
NUM-01Place value and digit positionsalso NUM-02
KA-0058
4 points, difficulty 2 of 3Level 5–6not yet calibrated
What is 2 + 4 + 6 + ... + 100?
NUM-08Clever regrouping (pair to round numbers)also PAT-02
KA-0062
4 points, difficulty 2 of 3Level 5–6not yet calibrated
24 pencils and 36 erasers are shared into identical gift bags, using every item. What is the largest number of bags possible?
NUM-05Factors, multiples, LCM and GCD by listingalso NUM-04
KA-0063
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Which of these numbers can be divided exactly by both 4 and 9?
NUM-04Divisibility rules: 2, 3, 4, 5, 9, 10also NUM-01
KA-0065
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A price goes up by 20%, then down by 20%. Compared with the original price, the final price is:
NUM-10Percentages and simple discountsalso NUM-09

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