Multi-Digit Division: Grade 6 Math Test – PDF Download

Question 1: Divide with one-digit and two-digit divisors (2 points)

Find each quotient.

1. \(3{,}528 : 7\) (1 point)
2. \(1{,}998 : 18\) (1 point)

Question 2: Quotients with larger divisors (2 points)

Find each quotient. Write any remainder.

1. \(9{,}576 : 38\) (1 point)
2. \(6{,}407 : 52\) (1 point)

Question 3: Estimate and divide (2 points)

Consider \(8{,}112 : 41\).

1. Write an estimate of the quotient using compatible numbers. (1 point)
2. Find the exact quotient and remainder. (1 point)

Question 4: Find the error (2 points)

Liam says that \(4{,}806 : 27 = 168\). Determine whether Liam is correct. If he is not, find the correct quotient.

Question 5: Vans for a trip (2 points)

A middle school sends 389 students to a science museum. Each van seats 14 students. Find the least number of vans needed to seat every student.

Question 6: Concert tickets (2 points)

Ethan has \$250 to spend on tickets that cost \$16 each. Find the greatest number of tickets he can buy and the amount of money he has left.

Question 7: Pencil packing (3 points)

A factory packs 5,880 pencils into boxes of 24. Then the boxes are packed into cartons of 15 boxes each.

1. Find the number of boxes. (1 point)
2. Find the number of full cartons and the number of boxes left over. (2 points)

Question 8: Work backward from a quotient (3 points)

When a whole number is divided by 23, the quotient is 64 and the remainder is 9.

1. Find the number. (2 points)
2. Find the quotient and remainder when the same number is divided by 31. (1 point)

Question 9: Weekly earnings (2 points)

Jamal earned \$1,404 mowing lawns over 36 weeks, earning the same amount each week.

1. Find the amount he earned each week. (1 point)
2. At the same rate, find the number of weeks he needs to earn \$2,145. (1 point)

See every chapter on the Grade 6 math page.