Fraction Test Fraction Patterns and Sequences 2 — Questions and Answers
Question 1: What is the sum of the sequence 1/4 + 2/4 + 3/4 + 4/4?
- 10/4 or 2 1/2 (Correct answer)
- 4/4 or 1
- 8/4 or 2
- 12/4 or 3
Correct answer: 10/4 or 2 1/2
(1 + 2 + 3 + 4)/4 = 10/4 = 2 1/2.
Question 2: In the sequence 6/7, 5/7, 4/7, 3/7, what is the pattern?
- Subtract 1/7 each time (Correct answer)
- Add 1/7 each time
- Divide by 7 each time
- The numerator and denominator both decrease
Correct answer: Subtract 1/7 each time
Each term decreases by 1/7, as the numerator decreases by 1 while the denominator stays at 7.
Question 3: What fraction is 3 steps after 1/6 if each step increases by 2/6?
- 7/6 (Correct answer)
- 6/6
- 5/6
- 4/6
Correct answer: 7/6
1/6 + 2/6 + 2/6 + 2/6 = 1/6 + 6/6 = 7/6.
Question 4: Which sequence shows fractions increasing by equal steps?
- 1/5, 2/5, 3/5, 4/5 (Correct answer)
- 1/2, 1/3, 1/4, 1/5
- 1/4, 1/2, 3/4, 5/4
- 2/3, 3/4, 4/5, 5/6
Correct answer: 1/5, 2/5, 3/5, 4/5
Each term in 1/5, 2/5, 3/5, 4/5 increases by exactly 1/5.
Question 5: How many terms are in the sequence 1/9, 2/9, 3/9, ... , 9/9?
- 9 (Correct answer)
- 8
- 10
- 18
Correct answer: 9
The numerators run from 1 to 9, giving exactly 9 terms.
Question 6: What is the 10th term in the arithmetic fraction sequence starting at 1/10 with a common difference of 1/10?
- 10/10 or 1 (Correct answer)
- 9/10
- 11/10
- 1/10
Correct answer: 10/10 or 1
The nth term is n/10; the 10th term is 10/10 = 1.
Fraction Test Fraction Patterns and Sequences 2
What is the sum of the sequence 1/4 + 2/4 + 3/4 + 4/4?