Challenge: will all values of ||variables:x|| and ||variables:y|| make
sense with this formula?
If not, what constraints can we place on ||variables:x|| and ||variables:y||
to ensure that Tom a number of oranges that makes sense?
Problem Set: Math
This section contains a number of selected problems for the Math section.
It is recommended that you review the problems, and complete a few before moving on to the next section.
Problem #1: Apples to Oranges
Use variables in JavaScript to store the number of fruit each person has.
- Randy has 5 apples
- Chris has 12 lemons
- Anna has 3 more apples than Randy
- Janet has 2 less lemons than Chris
- Tom has a number of oranges equal to the number of lemons Janet has minus the number of apples Anna has
Problem #2: Difficult Math
Math can be hard, but computers are good at it. Use JavaScript to compute the following:
| Equation | Equation | ||
|---|---|---|---|
| (a) | 15,391 + 4,273 = |
(g) | 87,849,383 ÷ 7,481 = |
| (b) | 12,589 + 2,531 = |
(h) | 72,395,941 ÷ 16,063 = |
| (c) | 13,577 - 8,039 = |
(i) | 9,439 - 4,831 + 8,237 = |
| (d) | 3,307 - 1,103 = |
(j) | 4,567 - 3,761 × 2,281 = |
| (e) | 10,177 × 13,159 = |
(k) | 3,337 × 8,633 ÷ 4,183 = |
| (f) | 3,089 × 4,111 = |
(l) | 10,181 + 112,911,179 ÷ 12,049 = |
Problem #3: Apples to Oranges II
Use variables in JavaScript to store the number of fruit each person has.
- Randy has
||variables:x||apples - Chris has
||variables:y||lemons - Anna has 3 more apples than Randy
- Janet has 2 less lemons than Chris
- Tom has a number of oranges equal to the number of lemons Janet has minus the number of apples Anna has
This equation for different values of ||variables:x|| and ||variables:y||.
Start with x = 5 and y = 12 and see if you get the same results as Problem #1.
Problem #4: Perfect PEMDAS Practice
For the following expressions, add parentheses to the equations to make the statements true:
| Equation | Equation | ||
|---|---|---|---|
| (a) | 9 - 5 - 3 = 7 |
(g) | 18 / 2 + 16 = 1 |
| (b) | 13 - 3 - 7 = 17 |
(h) | 12 - 6 / 3 = 2 |
| (c) | 12 - 7 + 1 = 4 |
(i) | 18 / 3 + 3 = 3 |
| (d) | 6 + 2 * 12 = 96 |
(j) | 18 / 1 + 5 - 2 = 1 |
| (e) | 11 - 2 * 5 = 45 |
(k) | 2 * 5 + 20 / 2 = 25 |
| (f) | 16 + 13 * 3 = 87 |
(l) | 6 + 15 / 3 + 1 = 8 |
Problem #5: Birthday Algorithm
Implement the Birthday Algorithm from CS Intro 1 in JavaScript:
Start with the variables ||variables:month|| and ||variables:day||
the both store numbers.
Assign these values to a person’s birthday.
For each step below, modify a variable called ||variables:output||
that also stores a number.
- Start with the number 7 (
let output: number = 7) - Multiply by month the person was born (number 1 - 12)
- Subtract 1
- Multiply by 13
- Add 5
- Subtract 2
- Add the day the person was born (number 1 - 31)
- Multiply by 11
- Subtract day the person was born (number 1 - 31)
- Subtract month the person was born (number 1 - 12)
- Divide by 5
- Add 22
- Divide by 200
When finished, ||game:game.splash|| ||variables:output|| to the screen.