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Math Exploration Mini-Unit
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Math Exploration Mini-Unit
Show your working where it helps. For open-ended design questions, one possible answer is provided.
Pattern Quest
1.A sequence begins 6, 10, 14, 18, ... Write the next two terms and describe the rule.
2.A tile pattern has 4 tiles in the first design, 7 in the second, and 10 in the third. If it keeps growing in the same way, how many tiles will the 12th design have?
3.Which expression gives the term at position n in the sequence 8, 13, 18, 23, ...?
- 5n + 3
- 8n − 3
- 3n + 5
- 5n + 8
4.Make a five-term growing number pattern that starts at 3 and increases by the same amount each time. Give its rule.
Geometry Challenge
5.A triangle has angles of 72° and 39°. Find the size of its third angle.
6.Select every statement that is true for all rectangles.
- Opposite sides are parallel.
- Each interior angle is 90°.
- All four sides have the same length.
- The diagonals are equal in length.
7.Three angles around a point measure 74°, 133° and 91°. Calculate the size of the remaining angle.
Probability and Game Design
8.A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4? Give your answer as a fraction and a percentage.
9.A fair coin is tossed 60 times. About how many heads would you expect?
10.Suggest one rule for a board game that uses the chance of rolling a particular number on a fair six-sided die.
11.Name a maths idea you could build into a board game, and explain how players would use it.
2 printable pages
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