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Arithmetic and Geometric Sequences — Free MYP1 Mathematics Practice Questions
1QuestionCalculating Common RatiosConcept Practice
2 marks~3 minCriterion A
Three squares are shown with side lengths of 2 cm, 4 cm, and 8 cm.
a
Identify the common ratio of this sequence of side lengths. [1]
b
Calculate the side length of the next square in the sequence. [1]
Solutions
2QuestionComparing Arithmetic and Geometric SequencesConcept Practice
2 marks~3 minCriterion B
Squares have side lengths of 1 cm, 2 cm, 3 cm, and 4 cm. The perimeter of each square is found using .
| Side length (cm) | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Perimeter (cm) | 4 | 8 | 12 | 16 |
a
State the next perimeter in the sequence. [1]
b
Identify whether the sequence of perimeters is arithmetic or geometric. Give one reason for your answer. [1]
Solutions
3QuestionIntroduction to Arithmetic SequencesConcept Practice
2 marks~3 minCriterion D
Mia saves 2 dollars every week. She starts with 5 dollars in her piggy bank. The amounts each week form a sequence:
Week 1: 7 dollars, Week 2: 9 dollars, Week 3: 11 dollars, Week 4: 13 dollars
Week 1: 7 dollars, Week 2: 9 dollars, Week 3: 11 dollars, Week 4: 13 dollars
a
State how much money Mia will have after Week 6. [1]
b
Describe one reason why this sequence might not match Mia's real savings over time. [1]
Solutions
4QuestionCalculating Common RatiosConcept Practice
5 marks~8 minCriterion C
Look at this number sequence:
a
Identify the common ratio of this sequence. [1]
b
Calculate the ratio between each pair of consecutive terms. Show all three divisions. [2]
c
A student says the common ratio is because . Describe what this student did wrong and explain how the common ratio should be found. [2]
Solutions
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