6th Grade Multi-Digit and Decimal Operations Test Solutions and Scoring (PDF)

6th Grade math test solutions: Multi-Digit and Decimal Operations – Maths PDF

Cover of the book Grade 6 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 6 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This decimal operations test answers for 6th Grade covers multi-digit and decimal operations (Common Core 6.NS.B.2, 6.NS.B.3), with a free PDF to print.

Use this key to score the decimal operations test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit for correct steps.

Grade 6 · Common Core State Standards: 6.NS.B.2, 6.NS.B.3

Decimal operations test answers: worked solutions

Question 1 – Long division [2 pts]

Use partial quotients.

$21 \times 300 = 6,300$, remaining $6,384 – 6,300 = 84$.

$21 \times 4 = 84$, remaining $84 – 84 = 0$.

Add the partial quotients: $304$.

Check: $304 \times 21 = 6,384$.

304

Scoring: 1 point for a correct method; 1 point for 304.

Question 2 – Add and subtract [2 pts]

(a) $14.70 + 8.25 + 0.50 = 23.45$.

(b) $30.00 – 12.46 = 17.54$.

Scoring: 1 point for each part.

Question 3 – Multiply decimals [2 pts]

$3 \times 2 = 6$, $3 \times 0.5 = 1.5$, $0.4 \times 2 = 0.8$, $0.4 \times 0.5 = 0.2$.

$6 + 1.5 + 0.8 + 0.2 = 8.5$

Sum is 8.5.

Scoring: 1 point for the partial products; 1 point for 8.5.

Question 4 – Divide decimals [2 pts]

(a) $84 \div 6 = 14$.

(b) $360 \div 9 = 40$.

Scoring: 1 point for each part.

Question 5 – Decimal division by a whole number [2 pts]

$15 \times 4.9 = 73.5$.

$73.5 \div 15 = 4.9$.

Scoring: 1 point for a correct method; 1 point for 4.9.

Question 6 – Shopping [2 pts]

$\$6.40 \times 2.5 = \$16.00$.

Scoring: 1 point for the setup; 1 point for $16.00.

Question 7 – Error analysis [2 pts]

$12 \times 5 = 60$, but the factors have 1 + 1 = 2 decimal places, so the product is 0.60 = 0.6.

Scoring: 1 point for the explanation; 1 point for 0.6.

Question 8 – Pizza party [3 pts]

Pizza: $\$12.75 \times 6 = \$76.50$.

Total: $\$76.50 + \$14.50 = \$91.00$.

Per student: $\$91.00 \div 24 = \$3.79$, or about $3.79.

Scoring: 1 point for the pizza cost; 1 point for the total; 1 point for the share.

Question 9 – Fuel efficiency [3 pts]

$462.5 \div 18.5 = 25$: multiply both by 10 to get $4625 \div 185 = 25$.

$25 \times 12 = 300$.

25 miles per gallon; 300 miles.

Unit rate and scaling.

Scoring: 1 point for the division setup; 1 point for 25; 1 point for 300 miles.

Total score

Total

20 points

Key facts behind this decimal operations test answers

Key facts

Line up decimal points to add or subtract.
To multiply decimals, multiply as whole numbers and count the decimal places in both factors.
To divide by a decimal, multiply the divisor and dividend by the same power of 10.
Partial quotients subtract friendly multiples of the divisor.
Estimate first to check the position of the decimal point.

How to use this decimal operations test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 6 chapters: Grade 6 math.

Voter.. post

Free printable PDF