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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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66 problemsClear all filters

KA-0054
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
A rectangle is divided by two vertical lines into three parts. How many rectangles of any size are in the picture?
CNT-13Counting shapes hidden inside a figurealso CNT-01
KA-0055
3 points, difficulty 1 of 3Level 3–4not yet calibrated
In the number 4073, what is the value of the digit 7?
NUM-01Place value and digit positions
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-0057
3 points, difficulty 1 of 3Level 3–4not yet calibrated
What is 1 + 2 + 3 + ... + 20?
NUM-08Clever regrouping (pair to round numbers)also CNT-01
KA-0061
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Each shape stands for a whole number. A triangle plus a triangle plus a triangle is 12, and a triangle plus a square is 9. What is the square?
NUM-14Operation puzzles and cryptarithmsalso LOG-08
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-0067
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
A cafe offers 3 main courses and 2 puddings. How many different two-course meals can be ordered?
CNT-02Tree diagramsalso CNT-03
KA-0068
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A coin is tossed three times. In how many of the possible outcomes are there exactly two heads?
CNT-02Tree diagramsalso CNT-01, CNT-04
KA-0072
3 points, difficulty 1 of 3Level 3–4not yet calibrated
How many different two-digit numbers can be written using only the digits 1, 2 and 3, if a digit may be used twice?
CNT-01Systematic listingalso CNT-03
KA-0076
4 points, difficulty 2 of 3Level 3–4not yet calibrated
In how many ways can 7 be written as the sum of two different whole numbers bigger than zero? Swapping the order does not make a new way.
CNT-04Caseworkalso CNT-01, NUM-03
KA-0079
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Which of these is true of every rectangle?
GEO-06Properties of triangles and quadrilateralsalso GEO-08
KA-0081
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
A solid is built from unit cubes. The two pictures show it from above and from the front. What is the smallest number of cubes it could be made of?
GEO-12Views of a solid: top, front, sidealso GEO-13, CNT-14

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