Arithmetic operators + - * / ^ (7c)
Name:
Date:
Class:
A
Quick Questions
Shade in the A or B circle for each question.
1. Which symbol raises a number to a power in pseudocode?
2. Which line correctly finds the area of a circle in pseudocode?
3. What is the value of 2 + 3 * 4 in pseudocode?
4. Score is 18 and MaxMark is 20. What does Answer ← Score * 100 / MaxMark store?
5. What is the value of 10 - 2 ^ 3?
B
Match the Pairs
Draw a line connecting each item on the left to its match on the right.
| Left column | Right column | |
|---|---|---|
| 1Answer ← Score * 100 / MaxMark | AResult ← 10 / 5 | |
| 2Answer ← Pi * Radius ^ 2 | BTotal ← 2 + 3 * 4 | |
| 3Multiplication and division are worked out before addition and subtraction, so this gives 14, not 20 | C** is Python-style power notation. Pseudocode uses ^ to raise to a power, so it should be Volume ← Side ^ 3. | |
| 4Division with / always gives a REAL result, even when the numbers divide exactly | DThe letter x is used for multiplication. Pseudocode uses * to multiply, so it should be Area ← Side * Side. | |
| 5Area ← Side x Side | EWorks out a percentage: Score is multiplied by 100, then divided by MaxMark, and the result is stored in Answer | |
| 6Volume ← Side ** 3 | FSquares Radius first, then multiplies the result by Pi (the area of a circle) |
C
Definitions
+ - * / ^
D
Fill in the Blanks
Complete each line of code by filling in the missing parts.
1.
Answer ← Score _ 100 / MaxMark
2.
Area ← Pi * Radius _ 2
3.
Answer ← Score * 100 _ MaxMark
// Answer is always a REAL
4.
// 3 * 4 is done first, so Result is 14
Result ← 2 _ 3 * 4
5.
// Subtract the cost from the money paid
Change ← Paid _ Cost
E
Spot the Error
Shade in the letter of the line that contains an error.
Question 1
A
DECLARE Area : REAL
B
Radius ← 5
C
Area ← 3.14 * Radius ** 2
D
OUTPUT Area
Question 2
A
INPUT Score
B
Answer ← Score x 100 / MaxMark
C
OUTPUT Answer
Question 3
A
INPUT Mark1
B
INPUT Mark2
C
DECLARE Average : REAL
D
Average ← Mark1 + Mark2 / 2
E
OUTPUT Average
Question 4
A
Total ← 25
B
Count ← 4
C
Mean ← Total DIV Count
D
OUTPUT Mean
Question 5
A
Area ← Side * 2
B
Perimeter ← Side * 4
C
OUTPUT Area, Perimeter
Answer Key
Arithmetic operators + - * / ^ (7c)
Section A: Quick Questions
Q1
A — ^
Q2
B — Area ← Pi * Radius ^ 2
Q3
B — 14
Q4
A — 90
Q5
A — 2
Section B: Match the Pairs
Q1
Answer ← Score * 100 / MaxMark → Works out a percentage: Score is multiplied by 100, then divided by MaxMark, and the result is stored in Answer
Q2
Answer ← Pi * Radius ^ 2 → Squares Radius first, then multiplies the result by Pi (the area of a circle)
Q3
Multiplication and division are worked out before addition and subtraction, so this gives 14, not 20 → Total ← 2 + 3 * 4
Q4
Division with / always gives a REAL result, even when the numbers divide exactly → Result ← 10 / 5
Q5
Area ← Side x Side → The letter x is used for multiplication. Pseudocode uses * to multiply, so it should be Area ← Side * Side.
Q6
Volume ← Side ** 3 → ** is Python-style power notation. Pseudocode uses ^ to raise to a power, so it should be Volume ← Side ^ 3.
Section C: Definitions
Q1
+ - * / ^ — Pseudocode arithmetic operators: add, subtract, multiply, divide and ^ for power. Power, * and / are worked out before + and -. Division always gives a REAL result.Section D: Fill in the Blanks
Q1
Answer ← Score * 100 / MaxMarkQ2
Area ← Pi * Radius ^ 2Q3
Answer ← Score * 100 / MaxMark
// Answer is always a REALQ4
// 3 * 4 is done first, so Result is 14
Result ← 2 + 3 * 4Q5
// Subtract the cost from the money paid
Change ← Paid - CostSection E: Spot the Error
Q1
C — Pseudocode does not use ** for powers. It uses ^, so the line should be Area ← 3.14 * Radius ^ 2.
Q2
B — Multiplication is written with *, not the letter x. The line should be Answer ← Score * 100 / MaxMark.
Q3
D — Division is worked out before addition, so only Mark2 is halved. Brackets are needed: Average ← (Mark1 + Mark2) / 2.
Q4
C — DIV gives only the whole-number part (6). The mean should be the exact value 6.25, so use / because division always gives a REAL result.
Q5
A — The area of a square is Side squared, which needs the power operator. It should be Area ← Side ^ 2, because Side * 2 only doubles the side.