Blueprint Math Assessment Worksheet
Blueprint for Success
7th Grade Math Entry Diagnostic
Name:
Date:
Phase 1: Foundation (Operations)
1. What is the value of the digit 4 in the number 542,901?
A 4,000
B 40,000
C 400,000
D 40
2. Solve: \( 1,245 \times 14 \)
A 17,430
B 12,450
C 16,240
D 18,550
3. Which is equivalent to \( 0.45 \)?
A \( \frac{4}{5} \)
B \( \frac{45}{10} \)
C \( \frac{9}{20} \)
D \( \frac{45}{1000} \)
4. Round 67.482 to the nearest tenth:
A 67.4
B 67.5
C 67.48
D 68.0
5. Evaluate: \( [15 + (8 - 2)] \div 3 \)
Show Work
6. Long Division: \( 912 \div 24 \)
Show Work
7. Decimal Subtraction: \( 84.2 - 16.55 \)
Show Work
8. Evaluate: \( (4.5 \times 2) + 12.75 \)
Show Work
Phase 2: Framing (Fractions & Ratios)
9. Calculate: \( \frac{2}{3} + \frac{1}{4} \)
Show Work
10. Calculate: \( \frac{3}{5} \div \frac{1}{2} \)
Show Work
11. Calculate: \( \frac{3}{4} \times \frac{2}{5} \)
Show Work
12. Calculate: \( 5 \frac{1}{2} - 2 \frac{3}{4} \)
Show Work
13. At a construction site, the ratio of workers to hard hats is 5:6. If there are 30 workers, how many hard hats are there?
Answer:
14. A truck travels 240 miles using 8 gallons of fuel. What is the unit rate in miles per gallon?
Answer:
15. What is 25% of 80?
16. Solve for \( x \) if \( \frac{3}{4} = \frac{x}{20} \):
Phase 3: Structural Integrity (Geometry & Algebra)
17. Find the area of a triangle with base 12 cm and height 8 cm.
18. Find the volume of a box with dimensions 5m long, 4m wide, and 3m high.
19. Solve for \( x \): \( 4x = 48 \)
20. Solve for \( y \): \( y + 15 = 42 \)
21. A triangle has two angles measuring 40° and 60°. What is the measure of the third angle?
22. In which quadrant is the point (3, -4) located?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
23. Calculate the mean (average) of these numbers: 5, 8, 12, 15
24. The Final Inspection (Open Ended)
An architect is designing a rectangular floor plan. The length of the room is 5 feet longer than the width (\( w \)).
Part A: Write an expression for the perimeter of the room in terms of \( w \).
Part B: Find the perimeter if the width is 10 feet.
Part A:
Part B: Calculation & Answer:
Blueprint Assessment Phase 3 Complete • Check your structural integrity before submitting
Blueprint Assessment Answer Key
Teacher Answer Key
Blueprint for Success Diagnostic (24 Problems)
7th Grade Entry
Phase 1: Foundation (Operations)
1. B (40,000) Ten Thousands
2. A (17,430) Multiplication
3. C (9/20) Equivalents
4. B (67.5) Rounding
5. 7 Order of Ops
6. 38 Division
7. 67.65 Subtraction
8. 21.75 Multi-step
Phase 2: Framing (Fractions & Ratios)
9. 11/12 LCD = 12
10. 1 1/5 (6/5) Keep-Flip
11. 3/10 Simplify
12. 2 3/4 Mixed Num
13. 36 hats Scale x6
14. 30 mpg 240 / 8
15. 20 0.25 * 80
16. x = 15 3/4 = 15/20
Phase 3: Integrity (Geometry, Algebra, Stats)
17. 48 cm² 1/2 * b * h
18. 60 m³ L * W * H
19. x = 12 Division
20. y = 27 Subtraction
21. 80° Sum = 180°
22. Quad IV (+, -)
23. 10 (5+8+12+15)/4 = 40/4
24. Open Ended Solution
Part A: Perimeter = \( 2w + 2(w+5) \) or \( 4w + 10 \)
Part B: If \( w = 10 \), then Perimeter = \( 4(10) + 10 = 50 \) feet.
Diagnostic Scoring (24 Points)
21-24
Foundation Strong
17-20
Steady Progress
12-16
Minor Shifting
< 12
Reframing Needed
Blueprint Assessment Slides
Blueprint
For Success
7th Grade Math Entry Diagnostic
Our Foundation
Diagnostic, Not a Grade
This isn't about points. It's about finding what you've mastered and where you need structural support.
Future Growth
7th grade builds on top of everything you learned in elementary school. Let's make sure the base is solid!
"Before we build the skyscraper, we must inspect the soil."
Architect's Protocol
No Calculators
We need to see your mental and paper construction skills.
Show Work
Draw it out. Carry the one. Show us the process, not just the result.
Manage Time
If you get stuck on a "beam," skip it and come back later.
Brain Warm-up
Quick Mental Math Challenge:
12 x 12 + 1
Don't shout it out! Hold it in your head.
1 Think
2 Pair
3 Share
Assessment Phases
1
Phase 1: Foundation
Operations with whole numbers and decimals.
2
Phase 2: Framing
Fractions, ratios, and unit rates.
3
Phase 3: Integrity
Geometry and Early Algebra.
Hard Hats On!
Begin the Blueprint Assessment
Good Luck, Architects!
