DIV: whole-number quotient

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Quick Questions

Shade in the A or B circle for each question.

1. What does DIV(10, 3) return?

A 3

B 3.33

2. Which statement describes DIV(a, b) correctly?

A Returns the whole-number part of a divided by b

B Returns the remainder of a divided by b

3. A coach has 20 players and puts 6 in each team. Which expression gives the number of full teams?

A DIV(20, 6)

B MOD(20, 6)

4. What does DIV(15, 5) return?

A 0

B 3

5. What does DIV(7, 10) return?

A 1

B 0

Match the Pairs

Draw a line connecting each item on the left to its match on the right.

Left column		Right column
1DIV(10, 3)		AGroups ← DIV(30, 4)
2DIV(125, 60)		BDIV does not return decimals. DIV(10, 3) returns 3, not 3.33, because the fractional part is discarded.
3Store how many whole groups of 4 fit into 30		COUTPUT DIV(Minutes, 60)
4Output the whole hours in a number of minutes stored in Minutes		DReturns 2, the number of whole hours in 125 minutes
5Result ← DIV(10, 3) OUTPUT Result // expects 3.33		EReturns 3, because 3 whole groups of 3 fit into 10 and the remainder is discarded
6Hours ← DIV(60, Minutes)		FThe arguments are in the wrong order. To find whole hours, the minutes must be divided by 60, so it should be DIV(Minutes, 60).

Definitions

DIV(a, b)

Fill in the Blanks

Complete each line of code by filling in the missing parts.

OUTPUT ___(10, 3)

Hours ← DIV(150, __)

DECLARE TotalMinutes : INTEGER Hours ← DIV(____________, 60)

DECLARE Groups : _______ Groups ← DIV(17, 5)

DECLARE Groups : INTEGER Groups _ DIV(10, 3) OUTPUT Groups

Spot the Error

Shade in the letter of the line that contains an error.

Question 1

A Hours ← DIV(135 60)

B OUTPUT Hours

C OUTPUT "Whole hours"

Question 2

A DECLARE Groups : INTEGER

B Groups ← DIV(10, 3)

C OUTPUT "Groups of 3:"

D OUTPUT Group

Question 3

A Total ← 17

B Size ← 5

C Boxes ← MOD(Total, Size)

D OUTPUT Boxes

Question 4

A Total ← 25

B Size ← 4

C OUTPUT "Full rows:"

D OUTPUT DIV(Size, Total)

Question 5

A Answer ← DIV 10, 3

B OUTPUT Answer

C // Output is 3

Answer Key

DIV: whole-number quotient

Section A: Quick Questions

A — 3

A — Returns the whole-number part of a divided by b

A — DIV(20, 6)

B — 3

B — 0

Section B: Match the Pairs

DIV(10, 3) → Returns 3, because 3 whole groups of 3 fit into 10 and the remainder is discarded

DIV(125, 60) → Returns 2, the number of whole hours in 125 minutes

Store how many whole groups of 4 fit into 30 → Groups ← DIV(30, 4)

Output the whole hours in a number of minutes stored in Minutes → OUTPUT DIV(Minutes, 60)

Result ← DIV(10, 3) OUTPUT Result // expects 3.33 → DIV does not return decimals. DIV(10, 3) returns 3, not 3.33, because the fractional part is discarded.

Hours ← DIV(60, Minutes) → The arguments are in the wrong order. To find whole hours, the minutes must be divided by 60, so it should be DIV(Minutes, 60).

Section C: Definitions

DIV(a, b) — Divides a by b and returns only the whole number part, discarding any remainder. DIV(10, 3) returns 3, so it counts how many whole groups of 3 fit into 10.

Section D: Fill in the Blanks

OUTPUT DIV(10, 3)

Hours ← DIV(150, 60)

DECLARE TotalMinutes : INTEGER
Hours ← DIV(TotalMinutes, 60)

DECLARE Groups : INTEGER
Groups ← DIV(17, 5)

DECLARE Groups : INTEGER
Groups ← DIV(10, 3)
OUTPUT Groups

Section E: Spot the Error

A — DIV needs its two arguments separated by a comma. It should be DIV(135, 60), which returns 2.

D — The variable declared and assigned is Groups, not Group. The line should be OUTPUT Groups so it shows 3.

C — MOD gives the remainder (2), not the number of whole groups. To count whole boxes use DIV(Total, Size), which returns 3.

D — The arguments are the wrong way round. DIV(4, 25) returns 0. It should be DIV(Total, Size), which returns 6.

A — DIV is written like a function with brackets around its arguments. It should be Answer ← DIV(10, 3).