Grade 9 · Math · Algebra 1

9th grade Number puzzles (consecutive numbers), and checking that an answer fits the story worksheet

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Number puzzles (consecutive numbers), and checking that an answer fits the story

Grade 9 Math Worksheet

NameDate

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?
Milo picks two consecutive even positive integers whose product is 168. What is the smaller 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?
9.
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 = −6
- x = 5
- x = 7
- x = 6
10.
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 = 8
- d = −7
- d = 7.5
- d = 7

9th grade Number puzzles (consecutive numbers), and checking that an answer fits the story worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Number puzzles (consecutive numbers), and checking that an answer fits the story. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can write n, n + 1, n + 2 for three consecutive numbers (and n, n + 2, n + 4 for even or odd) and solve a puzzle about them.
I can say which answers fit a story: whole, not negative, within the limit.
I can say when a puzzle cannot happen, because the answer would not be a whole number.

Standard: A-CED.A.1, A-CED.A.3

Words to know

consecutive: One after another with no gaps, such as 14, 15, 16.

even / odd: Even numbers and odd numbers each go up by 2.

solution set: All the values that make an equation or inequality true.

fits the story: Whole, not negative, and not past the limit in the story.

Common mistakes

Your child used one letter for every number in the puzzle.

Your child stepped by 2 for numbers that go up by 1.

Your child stepped by 1 for even or odd numbers.

What to say

Ask: is each number the same size, or does each one differ from n?

Ask: how far is each integer from the next?

Ask: what is the next even number after 8?

Questions parents ask

What is the most common mistake with number puzzles (consecutive numbers), and checking that an answer fits the story?

Your child used one letter for every number in the puzzle.

How can I help my child with number puzzles (consecutive numbers), and checking that an answer fits the story?

Ask: is each number the same size, or does each one differ from n?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 1

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