year 7 naplan maths

1. Number and Algebra

Integers and Rational Numbers

• Key Concept: Integers are positive and negative whole numbers, including zero. Rational numbers are numbers that can be expressed as fractions (e.g., 1/2, 3/4, -5/6).

• Possible Test Questions:

• Multiple Choice: Which of the following is an integer?

• A) 3.5

• B) -2

• C) 1/3

• D) √2

• Short Answer: Convert 0.75 to a fraction.

Fractions, Decimals, and Percentages

• Key Concept:

• Adding/Subtracting Fractions: Make the denominators the same.

• Multiplying/Dividing Fractions: Multiply the numerators and denominators.

• Converting between Fractions, Decimals, and Percentages.

• Possible Test Questions:

• Multiple Choice: What is 2/5 + 3/10?

• A) 7/10

• B) 1/2

• C) 5/10

• D) 9/10

• Short Answer: Convert 40% to a decimal and a fraction.

• Word Problem: A shop sells an item for $100. The item is on sale for 20% off. How much will the item cost after the discount?

Simplifying Expressions

• Key Concept: Combine like terms (e.g., 3x + 5x = 8x).

• Possible Test Questions:

• Multiple Choice: Simplify 4x + 3y + 2x - y.

• A) 6x + 2y

• B) 8x + 2y

• C) 6x + 3y

• D) 4x + 3y

• Short Answer: Simplify the expression: 7a + 2a - 5.

Solving Simple Equations

• Key Concept: To solve for the variable, isolate it on one side of the equation.

• Possible Test Questions:

• Multiple Choice: Solve for x: 2x + 3 = 11.

• A) x = 4

• B) x = 5

• C) x = 6

• D) x = 7

• Short Answer: Solve for y: 3y - 7 = 11.

2. Measurement

Units of Measurement

• Key Concept: Know how to convert between different units of length, mass, volume, and time.

• Possible Test Questions:

• Multiple Choice: How many centimeters are in 3.5 meters?

• A) 350 cm

• B) 35 cm

• C) 0.35 cm

• D) 3500 cm

• Short Answer: Convert 4.2 kilometers to meters.

Perimeter, Area, and Volume

• Key Concept:

• Perimeter of Rectangle: 2 × (Length + Width)

• Area of Rectangle: Length × Width

• Volume of Cube: Side³

• Area of Circle: π × r²

• Possible Test Questions:

• Multiple Choice: What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

• A) 15 cm²

• B) 50 cm²

• C) 25 cm²

• D) 100 cm²

• Short Answer: Calculate the volume of a cube with side length 3 cm.

• Word Problem: A circle has a radius of 4 cm. What is its area? (Use π = 3.14)

3. Geometry

Types of Angles

• Key Concept: Acute (< 90°), Right (90°), Obtuse (> 90° but < 180°), Straight (180°).

• Possible Test Questions:

• Multiple Choice: What type of angle is 120°?

• A) Acute

• B) Right

• C) Obtuse

• D) Straight

• Short Answer: If two angles in a triangle are 45° and 55°, what is the third angle?

Properties of Shapes

• Key Concept:

• A Square has all sides equal and all angles 90°.

• A Rectangle has opposite sides equal and all angles 90°.

• A Triangle has three sides, and the sum of the angles is always 180°.

• Possible Test Questions:

• Multiple Choice: What is the perimeter of a square with a side length of 4 cm?

• A) 12 cm

• B) 16 cm

• C) 8 cm

• D) 4 cm

• Short Answer: Calculate the area of a triangle with a base of 5 cm and a height of 6 cm.

4. Statistics and Probability

Mean, Median, and Mode

• Key Concept:

• Mean: Average of numbers (sum ÷ number of values).

• Median: Middle value when numbers are ordered.

• Mode: Most frequent value.

• Possible Test Questions:

• Multiple Choice: Find the mean of the following numbers: 3, 7, 8, 5, 6.

• A) 6

• B) 7

• C) 5

• D) 8

• Short Answer: What is the median of the numbers: 12, 15, 20, 25, 30?

Probability

• Key Concept: Probability of an event = (Number of favorable outcomes) ÷ (Total number of outcomes).

• Possible Test Questions:

• Multiple Choice: If you roll a fair 6-sided die, what is the probability of rolling a 3?

• A) 1/6

• B) 1/5

• C) 1/2

• D) 1/3

• Short Answer: What is the probability of drawing a red card from a deck of 52 playing cards (assuming there are 26 red cards)?

5. Patterns and Relationships

Number Patterns and Sequences

• Key Concept: Recognizing and extending number patterns.

• Arithmetic Sequences: Each term increases by the same value.

• Geometric Sequences: Each term is multiplied by the same factor.

• Possible Test Questions:

• Multiple Choice: What is the next number in the sequence 3, 6, 9, 12, …?

• A) 13

• B) 14

• C) 15

• D) 16

• Short Answer: Write the next two terms in the sequence 2, 4, 8, 16, …