Number puzzles (consecutive numbers), and checking that an answer fits the story
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Esme picks two consecutive positive integers whose product is 156. What is the larger one?
Jun picks two consecutive positive integers whose squares add to 145. What is the larger one?
Kira picks three consecutive positive integers. The product of the smallest and the largest is 15 more than 6 times the middle one. What is the largest?
Luz picks two consecutive positive integers. The larger is 19 less than the square of the smaller. What is the larger one?
Noah picks two consecutive odd positive integers whose squares add to 130. What is the smaller one?
Pia picks three consecutive even integers. Five times the smallest is 18 more than the sum of the other two. What is the smallest?
Ren picks three consecutive odd integers. The sum of the smallest and the largest is 14 less than 4 times the middle one. What is the smallest?
A trip has 170 students and each bus seats 30. Ari can book at most 6 buses, so 30x ≥ 170 and x ≤ 6. Which x works?
- x = 5
- x = 6
- x = 7
- x = −6
A pool has 50 cm of water and loses 4 cm a day. Bo wants it above 20 cm: 50 − 4d > 20. What is the last whole day it works?
- d = −7
- d = 7
- d = 8
- d = 7.5
A phone plan costs $20 plus $0.50 for each whole GB. Kira can spend at most $35, so 20 + 0.5g ≤ 35. What is the most GB that fits?
- g = 29.5
- g = 30
- g = 70
- g = 31