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Worksheets

ACL Prefix-Infix-Postfix

Total questions: 8

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Prefix-Infix-Postfix
Evaluate the following prefix expression if all numbers are single digits:
+ -/ * 3 6 2 / + 3 9 4 ^ 2 3

​​

a)

-2

b)

6

c)

12

d)

14

e)

17

2.

Prefix-Infix-Postfix
Convert this infix expression to postfix:


((A^2 + B)/C) + ABC

a)

A2^B+/CAB*C*+


b)

A2^B+C/AB*C*+


c)

A2^B+C/A*BC*+


d)

A2B^+C/AB*C*+


e)

A2^B+C/ABC**+


3.

Prefix-Infix-Postfix
Evaluate the following prefix expression if all numbers are single digits:
-/ 4 + 2 3 2 5 / + ^ 6 2 4 8


a)

4

b)

3

c)

0

d)

-3

e)

-4

4.

Prefix-Infix-Postfix
The formula for the surface area of a right circular cylinder is:
A = 2πrh + 2πr^2
Convert the entire formula to postfix using P for π .


a)

A2Pr**h*2P*r2^*+=


b)

A2P*r*h*2P*r2*^+=


c)

A2P*r*h*2P*r2^*+=


d)

A2P*r*h*2P*r2^+*=


e)

A2P*r*h*2Pr2*^*+=


5.

Prefix-Infix-Postfix
Convert this expression from prefix to postfix:
-+ A ^ B 2 ^ / * A C + B C 3


a)

AB2^+A*CBC+/3^-


b)

AB2^+AC*BC/+3^-


c)

AB2+^AC*BC+/3^-


d)

AB2^+AC*BC+/3^-


e)

AB2^+AC*BC+/3-^


6.

Prefix-Infix-Postfix
What is the value of the following prefix expression if x = -5 and y =
2?
-* 4 ^ x y -* 9 x ^ 6 y

​ ​​​

a)

-181

b)

-29

c)

29

d)

157

e)

181

7.

Prefix-Infix-Postfix
Evaluate this prefix expression. (Note: all numbers are single digits.)
- + / + 1 8 3 * 4 3 ↑ 2 3


a)

6

b)

7

c)

8

d)

9

e)

None of the above


8.

Prefix-Infix-Postfix
Given the equation written in infix, convert it to postfix.
(𝑥 - ℎ)^2 + (𝑦 - 𝑘)^2 = 𝑟^2


a)

x h - 2 ↑ y k - 2 ↑ + r 2 ↑ =


b)

x h - 2 ↑ y k - 2 ↑ r 2 ↑ + =


c)

x h 2 ↑ - y k 2 ↑ - + r 2 ↑ =


d)

x h - 2 ↑ + y k - 2 ↑ r 2 ↑ =


e)

None of the above