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Number & Arithmetic15
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Patterns & Sequences7
Modeling & Word Problems10
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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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6 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-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-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

Browse the problems — Kangaroo Atlas