DIV function

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Quick Questions

Shade in the A or B circle for each question.

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

A 3.33

B 3

2. Which description matches DIV(a, b)?

A The whole-number quotient, with the fractional part discarded

B The remainder left over after dividing

3. What does DIV(17, 5) return?

A 3

B 2

4. What does DIV(9, 2) return?

A 5

B 4

5. Which line stores the number of complete groups of 4 that fit into 30?

A Groups ← DIV(30, 4)

B Groups ← 30 / 4

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)		AReturns 3, the whole-number part of 10 divided by 3, with the remainder discarded
2DIV(17, 5)		BDIV discards the fractional part, so DIV(7, 2) is 3, not 3.5. Use 7 / 2 to get 3.5.
3Find how many whole 60-minute hours are in a number of minutes stored in Minutes		CDIV(14, 4) returns the quotient 3, not the remainder 2. The remainder is found with MOD(14, 4).
4Find how many full packs of 6 can be made from Total eggs		DReturns 3, because 5 goes into 17 three whole times
5Result ← DIV(7, 2) // Result is 3.5		EFullPacks ← DIV(Total, 6)
6Left ← DIV(14, 4) // Left is 2, the remainder		FHours ← 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)

OUTPUT DIV(17, _) // gives 3

INPUT Minutes Hours ← DIV(_______, 60) OUTPUT Hours

DECLARE Packs : _______ Packs ← DIV(50, 12) OUTPUT Packs

Students ← 95 Rows ← DIV(Students, __) OUTPUT Rows // shows 9

Spot the Error

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

Question 1

A Total ← 17

B Groups ← MOD(Total, 5)

C OUTPUT Groups

Question 2

A Minutes ← 135

B Hours ← DIV(Minutes, 60)

C Left ← DIV(Minutes, 60)

D OUTPUT Hours, Left

Question 3

A DECLARE Sweets : INTEGER

B Sweets ← 25

C Boxes ← Sweets DIV 4

D OUTPUT Boxes

Question 4

A DECLARE Buses : STRING

B Buses ← DIV(100, 30)

C OUTPUT Buses

Question 5

A INPUT Pupils

B Seats ← 4

C Tables ← DIV(Pupils)

D OUTPUT Tables

Answer Key

DIV function

Section A: Quick Questions

B — 3

A — The whole-number quotient, with the fractional part discarded

A — 3

B — 4

A — Groups ← DIV(30, 4)

Section B: Match the Pairs

DIV(10, 3) → Returns 3, the whole-number part of 10 divided by 3, with the remainder discarded

DIV(17, 5) → Returns 3, because 5 goes into 17 three whole times

Find how many whole 60-minute hours are in a number of minutes stored in Minutes → Hours ← DIV(Minutes, 60)

Find how many full packs of 6 can be made from Total eggs → FullPacks ← DIV(Total, 6)

Result ← DIV(7, 2) // Result is 3.5 → DIV discards the fractional part, so DIV(7, 2) is 3, not 3.5. Use 7 / 2 to get 3.5.

Left ← DIV(14, 4) // Left is 2, the remainder → DIV(14, 4) returns the quotient 3, not the remainder 2. The remainder is found with MOD(14, 4).

Section C: Definitions

DIV(a, b) — Returns the whole-number quotient of a divided by b, discarding the fractional part. For example, DIV(10, 3) returns 3. Both a and b are integers.

Section D: Fill in the Blanks

OUTPUT DIV(10, 3)

OUTPUT DIV(17, 5) // gives 3

INPUT Minutes
Hours ← DIV(Minutes, 60)
OUTPUT Hours

DECLARE Packs : INTEGER
Packs ← DIV(50, 12)
OUTPUT Packs

Students ← 95
Rows ← DIV(Students, 10)
OUTPUT Rows // shows 9

Section E: Spot the Error

B — MOD gives the remainder (2), not the whole-number quotient. To find how many whole groups of 5 fit into 17, use DIV(Total, 5), which returns 3.

C — Left should hold the minutes remaining after the whole hours are taken away. That needs MOD(Minutes, 60), which gives 15. DIV would just repeat the 2 hours.

C — In Cambridge pseudocode DIV is a function, not an infix operator. It must be written with brackets as DIV(Sweets, 4).

A — DIV returns a whole number (3), so the variable that stores it should be declared as INTEGER, not STRING.

C — DIV needs two arguments: the number being divided and the divisor. It should be DIV(Pupils, Seats).