A free 24-question 3rd grade back-to-school math diagnostic covering place value, operations, equal groups, fractions, measurement, data, geometry, and problem solving.
Third grade introduces multiplication, division, and more formal fraction work. This check-in looks backward at the number sense, addition and subtraction, equal-group reasoning, measurement, and shape knowledge that make those new ideas easier to learn.
Read directions aloud if needed, but avoid rephrasing the mathematics. A student may use drawings or objects. Record whether an error came from understanding the question, choosing an operation, or calculating.
Give one point per correct answer. Also record each section score out of three so the follow-up plan stays specific.
Read, compare, and decompose numbers through 1,000.
Add and subtract within 1,000 using place-value strategies.
Use fluent facts and recognize the structure behind multiplication.
Identify equal parts of a whole and name simple fractions.
Use standard units, time, money, and simple data.
Recognize shape attributes and solve a two-step situation.
Equivalent forms and clearly justified open-ended responses should receive credit.
1. 500 + 80 + 3
2. 70
3. <
4. [[408<480<840]]
5. 443
6. 436
7. 225
8. [[390]] books
9. 17 and 8
10. 12 crackers
11. 2 + 2 + 2 + 2 + 2 = 10
12. [[24]] and [[4]]
13. [[\frac{3}{4}]]
14. One half
15. 3 thirds
16. [[\frac{4}{8}=\frac{1}{2}]]
17. 6 centimeters
18. 3:05
19. $3.75
20. Noah; [[4]] more books
21. 6 sides and 6 vertices
22. 18 square units
23. 29 stickers
24. [[22]] units
Count one point for each correct answer. Partial understanding is best noted beside the problem rather than counted as half a point.