9-grade

English

100

Choose the correct form of the verb to complete the sentence: If I _____ (to be) you, I would study harder for the exam. 

A) am 

B) was 

C) were 

D) is

Answer: C) were

200

What is the synonym for the word "benevolent" as used in this sentence? The benevolent teacher always helped her students after class. 

A) Strict 

B) Kind 

C) Angry 

D) Tired

Answer: B) Kind

300

Read the short passage and answer the question: Sarah wanted to join the school debate team, but she was nervous about speaking in public. Her friend Mia encouraged her, saying, "You have great ideas, and with practice, you’ll be confident!" Sarah decided to attend the tryouts and worked hard to prepare her speech. What motivated Sarah to try out for the debate team? 

A) Her teacher’s advice 

B) Her friend Mia’s encouragement 

C) Her love for public speaking 

D) Her desire to win a prize

Answer: B) Her friend Mia’s encouragement Explanation: The passage states that Mia’s encouragement gave Sarah the motivation to attend the tryouts.

400

Which sentence is punctuated correctly? 

A) I have two cats a dog and a bird. 

B) I have two cats, a dog, and a bird. 

C) I have two cats a dog, and a bird. 

D) I have two cats, a dog and a bird.

Answer: B) I have two cats, a dog, and a bird.

500

Question 5 (Literary Terms): What is the term for the main character in a story who faces challenges and drives the plot forward? 

A) Antagonist B) Protagonist C) Narrator D) Foil

Answer: B) Protagonist Explanation: The protagonist is the main character who faces challenges and moves the story forward, often opposed by the antagonist.

science

100

What is the primary source of energy for Earth's climate system? 

A) The Moon B) The Sun 

C) Earth's core D) Ocean currents

B) The Sun Explanation: The Sun provides the primary energy that drives Earth's climate system through solar radiation, which powers weather patterns and ocean currents.

200

Which of the following is a physical change? A) Burning wood B) Rusting iron C) Melting ice D) Baking a cake

Answer: C) Melting ice Explanation: A physical change alters the form of a substance without changing its chemical composition. Melting ice changes water from solid to liquid but remains H₂O.

300

Question 3 (Physics): An object is moving at a constant speed of 10 meters per second. How far will it travel in 5 seconds? A) 2 meters B) 10 meters C) 50 meters D) 100 meters

Answer: C) 50 meters Explanation: Distance = speed × time. So, 10 m/s × 5 s = 50 meters.

400

Question 4 (Earth Science): Which layer of the atmosphere contains the ozone layer that protects Earth from harmful ultraviolet rays? A) Troposphere B) Stratosphere C) Mesosphere D) Thermosphere

Answer: B) Stratosphere Explanation: The ozone layer, which absorbs harmful UV radiation, is located in the stratosphere, approximately 10–50 km above Earth's surface.

500

Question 5 (Biology): What is the function of mitochondria in a cell? A) To store genetic material B) To produce energy C) To transport nutrients D) To protect the cell

Answer: B) To produce energy Explanation: Mitochondria are known as the "powerhouses" of the cell because they produce energy in the form of ATP through cellular respiration.

math

100

Question 1: Solving Linear Equations

Question: Solve for x x x: 3x+5=17 3x + 5 = 17 3x+5=17.

Answer: x=4 x = 4 x=4

Explanation:

• Subtract 5 from both sides: 3x=17−5 3x = 17 - 5 3x=17−5, so 3x=12 3x = 12 3x=12.
• Divide both sides by 3: x=123=4 x = \frac{12}{3} = 4 x=312=4.

200

Question 2: Quadratic Equations

Question: Solve the quadratic equation x2−5x+6=0 x^2 - 5x + 6 = 0 x2−5x+6=0 by factoring.

Answer: x=2 x = 2 x=2 or x=3 x = 3 x=3

Explanation:

• Find two numbers that multiply to 6 and add to -5: these are -2 and -3.
• Factor the equation: (x−2)(x−3)=0 (x - 2)(x - 3) = 0 (x−2)(x−3)=0.
• Set each factor to zero: x−2=0 x - 2 = 0 x−2=0 gives x=2 x = 2 x=2, and x−3=0 x - 3 = 0 x−3=0 gives x=3 x = 3 x=3.

300

Question 3: Geometry - Area of a Triangle

Question: A triangle has a base of 8 cm and a height of 5 cm. What is its area?

Answer: 20 cm2 20 \, \text{cm}^2 20cm2

Explanation:

• The area of a triangle is given by Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} Area=21×base×height.
• Substitute the values: Area=12×8×5=20 cm2 \text{Area} = \frac{1}{2} \times 8 \times 5 = 20 \, \text{cm}^2 Area=21×8×5=20cm2.

400

Question 4: Slope of a Line

Question: Find the slope of the line passing through the points (2,3) (2, 3) (2,3) and (5,9) (5, 9) (5,9).

Answer: Slope = 2

Explanation:

• The slope m m m is calculated using m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1} m=x2−x1y2−y1.
• Substitute the points (x1,y1)=(2,3) (x_1, y_1) = (2, 3) (x1,y1)=(2,3) and (x2,y2)=(5,9) (x_2, y_2) = (5, 9) (x2,y2)=(5,9): m=9−35−2=63=2 m = \frac{9 - 3}{5 - 2} = \frac{6}{3} = 2 m=5−29−3=36=2.

500

Question 5: Basic Trigonometry

Question: In a right triangle, the angle θ \theta θ has an opposite side of 6 units and a hypotenuse of 10 units. What is sin⁡(θ) \sin(\theta) sin(θ)?

Answer: sin⁡(θ)=35 \sin(\theta) = \frac{3}{5} sin(θ)=53

Explanation:

• The sine of an angle in a right triangle is sin⁡(θ)=oppositehypotenuse \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} sin(θ)=hypotenuseopposite.
• Substitute the given values: sin⁡(θ)=610=35 \sin(\theta) = \frac{6}{10} = \frac{3}{5} sin(θ)=106=53.