
Mathematics Challenge for Grade 8
Quiz
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Tika Astuti
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Simplify the expression: 3x + 5x - 2.
8x + 2
5x - 2
3x + 2
8x - 2
Answer explanation
Combine like terms: 3x + 5x = 8x. The constant -2 remains unchanged. Thus, the simplified expression is 8x - 2, which matches the correct answer.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the area of a triangle is 24 cm² and the base is 8 cm, what is the height?
4 cm
8 cm
10 cm
6 cm
Answer explanation
To find the height of the triangle, use the formula: Area = 1/2 * base * height. Rearranging gives height = (2 * Area) / base. Substituting the values: height = (2 * 24) / 8 = 6 cm. Thus, the height is 6 cm.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of x in the equation: 2(x - 3) = 10?
8
5
10
3
Answer explanation
To solve 2(x - 3) = 10, first divide both sides by 2: x - 3 = 5. Then, add 3 to both sides: x = 8. Thus, the value of x is 8.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate the circumference of a circle with a radius of 7 cm.
50.24 cm
28.00 cm
43.98 cm
21.99 cm
Answer explanation
The circumference of a circle is calculated using the formula C = 2πr. For a radius of 7 cm, C = 2 × π × 7 ≈ 43.98 cm. Thus, the correct answer is 43.98 cm.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a bag contains 3 red, 5 blue, and 2 green marbles, what is the probability of picking a blue marble?
0.1
0.25
0.75
0.5
Answer explanation
The total number of marbles is 3 red + 5 blue + 2 green = 10. The probability of picking a blue marble is the number of blue marbles (5) divided by the total (10), which is 5/10 = 0.5.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the least common multiple (LCM) of 12 and 15.
30
60
75
45
Answer explanation
To find the LCM of 12 and 15, we can list the multiples: 12 (12, 24, 36, 48, 60...) and 15 (15, 30, 45, 60...). The smallest common multiple is 60, making it the LCM.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangle has a length of 10 cm and a width of 4 cm. What is its perimeter?
28 cm
30 cm
24 cm
20 cm
Answer explanation
To find the perimeter of a rectangle, use the formula P = 2(length + width). Here, P = 2(10 cm + 4 cm) = 2(14 cm) = 28 cm. Thus, the correct answer is 28 cm.
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