Standard Form Practice Questions

SPM (Malaysia) · SPM Mathematics · 146 free MCQs with instant results and detailed explanations.

146
Total
44
Easy
76
Medium
26
Hard

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Sample Questions from Standard Form

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Q1
Easy
Which of the following numbers is in standard form?
A. 3.2 ร— 10^2
B. 32 ร— 10^1
C. 0.032 ร— 10^3
D. 320 ร— 10^0
Show Answer & Explanation
Correct Answer: A
In standard form, the coefficient must be between 1 and 10. Only option A meets this criterion as 3.2 is within that range.
Q2
Easy
Convert the standard form 6.7 ร— 10^3 into a whole number.
A. 6700
B. 670
C. 67
D. 6.7
Show Answer & Explanation
Correct Answer: A
To convert 6.7 ร— 10^3 into a whole number, you multiply 6.7 by 1000, which equals 6700.
Q3
Easy
What is the standard form of the number 300000?
A. 3 x 10^5
B. 30 x 10^4
C. 300 x 10^3
D. 0.3 x 10^6
Show Answer & Explanation
Correct Answer: A
The standard form expresses numbers as a product of a number between 1 and 10 and a power of 10. Here, 300000 can be written as 3 times 10 raised to the power of 5.
Q4
Medium
Which of the following represents the number 0.00034 in standard form?
A. 3.4 x 10^-4
B. 34 x 10^-5
C. 0.34 x 10^-3
D. 34 x 10^-6
Show Answer & Explanation
Correct Answer: A
In standard form, a number is expressed as a product of a number between 1 and 10 and a power of 10. 0.00034 can be written as 3.4 x 10^-4.
Q5
Medium
Convert the number 500000 into standard form.
A. 5 x 10^5
B. 50 x 10^4
C. 500 x 10^3
D. 0.5 x 10^6
Show Answer & Explanation
Correct Answer: A
To convert 500000 into standard form, we express it as 5 multiplied by 10 raised to the power of 5, since 5 is between 1 and 10.
Q6
Medium
Which of the following numbers is equivalent to 6.02 x 10^23?
A. 602000000000000000000000
B. 6.02 x 10^22
C. 60000000000000000000000
D. 6020000000000000000000
Show Answer & Explanation
Correct Answer: A
The number 6.02 x 10^23 means moving the decimal 23 places to the right, which results in 602 followed by 21 zeros, or 602000000000000000000000.
Q7
Medium
A scientist measures a length of 0.0000078 meters. What is this measurement in standard form?
A. 7.8 x 10^-6
B. 78 x 10^-7
C. 0.78 x 10^-5
D. 78 x 10^-8
Show Answer & Explanation
Correct Answer: A
In standard form, 0.0000078 is represented as 7.8 x 10^-6. The decimal is moved 6 places to the right, giving a negative exponent.
Q8
Hard
Which of the following is equivalent to the number 0.000045 in standard form?
A. 4.5 ร— 10^-5
B. 45 ร— 10^-6
C. 0.45 ร— 10^-4
D. 4.5 ร— 10^-6
Show Answer & Explanation
Correct Answer: A
To express 0.000045 in standard form, we move the decimal point 5 places to the right, resulting in 4.5. Thus, it can be written as 4.5 ร— 10^-5, as we need to account for the movement of the decimal point.
Q9
Hard
Which of the following expressions represents the product of (3.2 ร— 10^4) and (2 ร— 10^3) in standard form?
A. 6.4 ร— 10^7
B. 6.4 ร— 10^8
C. 0.64 ร— 10^7
D. 0.64 ร— 10^8
Show Answer & Explanation
Correct Answer: A
To find the product of (3.2 ร— 10^4) and (2 ร— 10^3), multiply the coefficients (3.2 and 2) to get 6.4, and add the exponents (4 and 3) to get 7. Thus, the product is 6.4 ร— 10^7.
Q10
Hard
Which of the following numbers is expressed in standard form correctly?
A. 4.5 ร— 10^3
B. 0.045 ร— 10^2
C. 12.3 ร— 10^5
D. 0.0037 ร— 10^4
Show Answer & Explanation
Correct Answer: A
Option A is correct because it follows the standard form where the coefficient (4.5) is between 1 and 10, while the power of ten (10^3) indicates the magnitude. Other options do not conform to this rule.

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Standard Form โ€” SPM (Malaysia) SPM Mathematics Practice Questions Online

This page contains 146 practice MCQs for the chapter Standard Form in SPM (Malaysia) SPM Mathematics. The questions are organized by difficulty โ€” 44 easy, 76 medium, 26 hard โ€” so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.