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Number & Arithmetic15
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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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27 problemsClear all filters

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-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-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-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-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-0083
3 points, difficulty 1 of 3Level 3–4not yet calibrated
A rectangle has a perimeter of 20 cm. One of its sides is 6 cm. What is its area in square centimetres?
GEO-01Perimeter and area of rectilinear shapes
KA-0086
3 points, difficulty 1 of 3Level 3–4not yet calibrated
A floor measuring 6 by 4 units is covered exactly with tiles measuring 2 by 1, with no gaps and no overlaps. How many tiles are needed?
GEO-14Tiling and tessellationalso GEO-01
KA-0108
3 points, difficulty 1 of 3Level 3–4not yet calibrated
A pattern of tiles repeats: black, black, white. What colour is the 100th tile?
PAT-03Repeating cycles and position mod nalso NUM-06
KA-0110
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
Ana has three times as many stickers as Bo. Together they have 48. How many does Bo have?
MOD-02Bar models for part–wholealso NUM-11
KA-0114
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Three notebooks cost 240 cents each. You pay with a 10 euro note. How many cents change do you get? One euro is 100 cents.
MOD-06Money and changealso NUM-09, MOD-10
KA-0118
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The chart shows how many books four children read. How many did they read altogether?
MOD-09Reading tables, charts, and graphsalso NUM-13, MOD-10

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