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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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14 problemsClear all filters

KA-0008
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The first three patterns are made of dots and follow a rule. How many dots will the fifth pattern have?
PAT-01Continuing a visual patternalso PAT-02
KA-0014
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Beads are threaded in the repeating order red, green, blue, yellow. What colour is the 30th bead?
PAT-03Repeating cycles and position mod nalso NUM-06
KA-0030
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts 4, 7, 10, 13 and continues in the same way. What is the 20th term?
PAT-02Arithmetic sequences and the nth termalso PAT-04
KA-0103
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts at 3. Each term after that is double the one before it, minus 1. What is the sixth term?
PAT-05Recursive rulesalso PAT-02
KA-0104
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts 1, 1, and every term after that is the sum of the two before it. What is the eighth term?
PAT-05Recursive rulesalso PAT-04
KA-0105
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
Each row of a grid starts 3 more than the row above. Each cell is 1 more than the one to its left. The top-left cell is 1. What is in row 4, column 3?
PAT-06Patterns in tables and gridsalso GEO-02, PAT-02
KA-0106
5 points, difficulty 3 of 3Level 5–6not yet calibrated
A machine turns 3 into 7, 5 into 11 and 8 into 17. What does it turn 12 into?
PAT-07Inferring a rule from examplesalso PAT-05, CFT-03
KA-0107
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Dots are arranged in triangles: 1 dot, then 3, then 6, then 10, and so on. How many dots does the tenth triangle have?
PAT-04Growth patterns and figurate numbersalso NUM-08, CNT-08
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-0109
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A staircase of blocks has 4 blocks in the first step, 7 in the second and 10 in the third. How many blocks are in the eighth step?
PAT-02Arithmetic sequences and the nth termalso PAT-01
KA-0138
5 points, difficulty 3 of 3Level 3–4not yet calibrated
Squares of dots grow: 1 dot, then 4, then 9, then 16. How many dots are in the seventh square?
PAT-04Growth patterns and figurate numbersalso PAT-02, GEO-01
KA-0156
4 points, difficulty 2 of 3Level 7–8not yet calibrated
A pattern is built in rows. The first figure has 1 row, the second has 2 rows, and so on. In every figure, the first row has 1 dot, the second has 3 dots, the third has 5 dots, and each row after has 2 more dots than the one above it. How many dots are in the eighth figure?
PAT-04Growth patterns and figurate numbersalso CFT-03, PAT-02

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