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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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15 problemsClear all filters

KA-0002
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Ana adds up the first seven odd numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13. Is her total odd or even, and what is it?
NUM-03Parity of numbers (odd/even behavior)
KA-0006
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
On the number line shown, the marks are equally spaced. What number does the arrow point to?
NUM-13Number lines and betweennessalso MOD-09
KA-0021
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Today is Tuesday. What day of the week will it be in 100 days?
NUM-06Remainders and modular cyclesalso PAT-03
KA-0026
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?
NUM-10Percentages and simple discountsalso NUM-09
KA-0041
3 points, difficulty 1 of 3Level 5–6not yet calibrated
One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?
NUM-05Factors, multiples, LCM and GCD by listingalso NUM-06
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-0059
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A tap drips about 3 times a minute. Roughly how many drips is that in one day?
NUM-12Estimation and order of magnitudealso MOD-07
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-0064
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Three quarters of a class of 28 travelled by bus. How many did not travel by bus?
NUM-09Fractions of a quantityalso CNT-09
KA-0141
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Which of these fractions lies between one third and one half?
NUM-13Number lines and betweennessalso NUM-09
KA-0151
3 points, difficulty 1 of 3Level 7–8not yet calibrated
A bread recipe uses flour and sugar in the ratio 5 to 3. The two together weigh 320 grams. How much of that is flour?
NUM-11Ratio as parts of a wholealso CFT-01, CFT-10

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