Instructions
Read each section carefully. Take your time and use a separate piece of paper to work out your answers. It's okay to draw pictures or use objects to help you solve the problems. The goal is to understand how to find the answer, not how fast you can do it.
Part 1: The Four Operations Warm-Up
Let's practice the basics. Write the problems on your paper to help keep the numbers lined up.
A) Addition & Subtraction
Remember to line up the numbers by their place value (ones, tens, hundreds).
- 45 + 32 = ?
- 125 + 64 = ?
- 78 - 25 = ?
- 246 - 135 = ?
B) Multiplication & Division
For multiplication, think of it as repeated adding. For division, think of it as sharing into equal groups.
- 7 x 3 = ?
- 12 x 4 = ?
- 15 ÷ 3 = ?
- 20 ÷ 4 = ?
Part 2: Algebra Puzzles - Find the Mystery Number!
In these puzzles, x is a mystery number. Your job is to figure out what number x must be to make the sentence true.
Example: x + 2 = 5. Think: "What number plus 2 makes 5?" The mystery number (x) must be 3.
1. x + 5 = 12
Think: What number can I add to 5 to get 12?
x = _____
2. x - 3 = 7
Think: What number, when I take 3 away, leaves me with 7?
x = _____
3. 4 × x = 20
Think: 4 times what number equals 20? I can count by 4s to find out.
x = _____
4. x + 10 = 30
Think: What number plus 10 makes 30?
x = _____
Part 3: Fun with Shapes
Let's look at how to measure shapes.
A) Perimeter: The Distance Around the Edge
The perimeter is the total length you get when you add up all the sides of a shape.
1. Find the perimeter of this rectangle:
A rectangle has a length of 10 cm and a width of 4 cm.
Perimeter = side + side + side + side
Perimeter = 10 + 10 + 4 + 4
Perimeter = ___________ cm
2. Find the perimeter of this square:
A square has four equal sides. This square has sides that are each 5 cm long.
Perimeter = 5 + 5 + 5 + 5
Perimeter = ___________ cm
B) Area: The Space Inside the Shape
Area is the total space inside a 2D shape. For rectangles and squares, you can find it by multiplying the length by the width.
Formula: Area = Length × Width
3. Find the area of the same rectangle:
Length = 10 cm, Width = 4 cm
Area = 10 × 4
Area = ___________ cm² (The small 2 means "squared")
4. Find the area of the same square:
Length = 5 cm, Width = 5 cm
Area = 5 × 5
Area = ___________ cm²
Answer Key
Part 1: The Four Operations Warm-Up
A) Addition & Subtraction
- 77
- 189
- 53
- 111
B) Multiplication & Division
- 21
- 48
- 5
- 5
Part 2: Algebra Puzzles
- x = 7
- x = 10
- x = 5
- x = 20
Part 3: Fun with Shapes
A) Perimeter
- Perimeter = 28 cm
- Perimeter = 20 cm
B) Area
- Area = 40 cm²
- Area = 25 cm²