Quiz & test questions Grade 6 Math

Okafor Household Water Quiz: Percent and Unit Rates

A grade 6 math quiz on a fictional family's water use, mixing multiple-choice, short-answer, and computation items on percent and unit-rate reasoning.

Objectives

  1. Students will calculate percents of a household's daily water use and a percent decrease after a change.
  2. Students will apply a per-minute flow rate to find the water used by a timed shower.

Vocabulary

Key words: percent, unit rate, indoor use, percent decrease

Teacher overview

This 25-minute quiz is worth 25 points and checks whether students can apply percent and unit-rate reasoning to household water use. It mixes two multiple-choice items, one short-answer item, and four computation items, all built around one fictional family's daily use. The values for average household use, indoor share, showerhead flow, and toilet share come from published figures, while the family itself is invented. Grading is faster if students show the division or multiplication step, not just the final number.

Answer Key

  1. Answer: C) 70 percent. The quiz states that about 70 percent of average household use happens indoors.
  2. Answer: 210 gallons. 300 × 0.70 = 210 gallons of indoor use.
  3. Answer: 22.5 gallons. 2.5 gallons each minute × 9 minutes = 22.5 gallons.
  4. Answer: 50.4 gallons. Use the study's 24 percent toilet share on the 210-gallon indoor total: 210 × 0.24 = 50.4 gallons.
  5. Answer: A slow drip adds up over time. "Per year" means the loss is spread across a whole year, so a tiny, steady drip can reach more than 3,000 gallons by adding a little every day.
  6. Answer: 15%. The cut is 300 − 255 = 45 gallons on a start of 300, and 45 ÷ 300 = 0.15, or 15 percent.
  7. Answer: B) A single 9-minute shower can be a real share of a day's use. Item 3 shows one shower uses 22.5 gallons, a noticeable part of the family's daily total.

Differentiation

Support

Provide the setup for the computation items already written, such as 300 × 0.70 for item 2, so students complete only the final step. Allow a calculator on every computation item, and give a number line for the percent decrease in item 6.

Extension

Ask students to find how many gallons the family would save in a week if each of four people took one 9-minute shower a day with a 2.0-gallon-per-minute showerhead instead of the 2.5-gallon one, and to show the calculation.

ELL supports

Pre-teach indoor use, showerhead, per minute, and decrease with simple icons of a house, a shower, and a stopwatch. Provide a sentence frame for item 5: "Per year means the drip adds up because ___." Allow the short answer to be one sentence.