Quiz & test questions Grade 3 Math

Otterbrook School's Water Week: A Grade 3 Math Quiz

An eleven-item, 22-point quiz set at a fictional school's water week, mixing equal groups, liters, two-step problems, and the perimeter of a splash pad.

Objectives

  1. Students will multiply and divide within 100 to solve water use problems.
  2. Students will solve two-step problems about liters of water in a school kitchen.
  3. Students will find the perimeter of a rectangle and of a square in meters.

Vocabulary

Key words: perimeter, liter, product, equal groups

Teacher overview

This quiz covers the water math a grade 3 class works through during Water Week at Otterbrook School, a fictional school that tracks the water in its kitchen, its gym, and its splash pad. It holds eleven items worth 2 points each, for a total of 22 points, and mixes two multiple-choice items with seven computation items, one error-analysis item, and one vocabulary item. The distractors in items 1 and 5 are built from a real misconception: students who add the two factors instead of forming equal groups will find 10 and 11 among the answer choices. Item 10 asks a student to correct that same error in writing, which separates a careless slip from a genuine misunderstanding.

Answer Key

  1. Answer: 24 jugs (choice B). Six shelves with 4 jugs on each shelf is 6 equal groups of 4, so 6 × 4 = 24 jugs. Choice A is the result of adding 6 + 4, and choice D is the result of writing the two numbers side by side.
  2. Answer: 21 liters. Seven jugs with 3 liters in each jug is 7 × 3 = 21 liters.
  3. Answer: 75 liters. Subtract what was poured out: 120 − 45 = 75 liters.
  4. Answer: 27 liters. Step one: 7 × 5 = 35 liters go into the pots. Step two: 35 − 8 = 27 liters are left. A student who answers 35 stopped after the first step.
  5. Answer: 30 bottles (choice B). Five rows of 6 bottles is 5 × 6 = 30 bottles. Choice A adds the two numbers, and choice C uses 5 × 5.
  6. Answer: 8 liters. Share 48 liters among 6 buckets: 48 ÷ 6 = 8 liters in each bucket. Check by multiplying: 6 × 8 = 48 liters.
  7. Answer: 26 liters. Step one: 9 × 4 = 36 liters go into the jugs. Step two: 36 − 10 = 26 liters are left.
  8. Answer: 42 meters. The four sides are 12, 9, 12, and 9 meters, so 12 + 9 + 12 + 9 = 42 meters. A student who answers 21 added one length and one width only.
  9. Answer: 12 meters. A square has four equal sides, so 3 + 3 + 3 + 3 = 12 meters, or 4 × 3 = 12 meters.
  10. Answer: 24 jugs. Sam added 6 + 4 instead of counting 6 equal groups of 4 jugs. The correct total is 6 × 4 = 24 jugs. Award full credit only when the student both names the error and gives 24 jugs.
  11. Answer: Perimeter. The perimeter is the distance all the way around a shape, which is the measure found in items 8 and 9.

Differentiation

Support

Read every item aloud twice and allow counters, tiles, or grid paper for items 1, 5, 8, and 9. Provide a two-box strip labeled "Step 1" and "Step 2" for items 4 and 7 so the intermediate total has a place to live. Students who need it may answer item 10 orally to the teacher, who records the explanation on the page.

Extension

After the quiz, ask students to write one new two-step item about the school kitchen with an answer under 100 liters, provide its worked solution, and identify which of the four standards on this quiz their item would test. Have them also design a splash pad with a different shape but the same 42-meter perimeter.

ELL supports

Provide a labeled picture bank showing a jug, a bucket, a pot, a splash pad, and a rain barrel stand beside the matching words. Allow a bilingual glossary for "shelf," "share," "left," and "all the way around." Extend the time limit rather than removing items, and accept a drawing with numbers for item 10 as long as 24 jugs appears in the work.

Extensions

Have the class run a Water Week count of their own, tallying how many jugs, pitchers, or bottles the room uses in five days and recording the totals on a chart. Ask students to write two questions about their own data that another class could answer, one using equal groups and one using perimeter of the space where the water is stored.