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100+ Free Praxis Elem CKT Math Practice Questions
Praxis Elementary Education: Content Knowledge for Teaching — Mathematics (7813) practice questions are available now; exam metadata is being verified.
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Sample Praxis Elem CKT Math Practice Questions
Try these sample questions to test your Praxis Elem CKT Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1In the number 4,072.395, what is the value of the digit 7?
A.7 hundreds
B.7 ones
C.7 hundredths
D.7 tens
Explanation: Reading the whole-number part 4,072, the digit 7 sits in the tens place, so its value is 7 tens, or 70. Place value is determined by position relative to the decimal point.
2Which of the following is equivalent to the fraction 3/4?
A.4/3
B.6/12
C.3/8
D.9/12
Explanation: Multiplying both numerator and denominator of 3/4 by 3 gives 9/12, an equivalent fraction. Equivalent fractions represent the same portion of a whole.
3What is the sum of 0.6 and 0.45?
A.0.51
B.1.05
C.0.105
D.0.69
Explanation: Aligning by place value, 0.60 + 0.45 = 1.05. Writing 0.6 as 0.60 keeps the tenths and hundredths aligned for correct addition.
4A teacher wants to model 3/4 + 1/8 using fraction strips. Which common denominator should the strips be partitioned into?
A.Thirty-seconds
B.Twelfths
C.Fourths
D.Eighths
Explanation: Since 8 is a multiple of 4, eighths is the least common denominator: 3/4 = 6/8, so 6/8 + 1/8 = 7/8. Using eighths lets both fractions be shown with the same-size pieces.
5Which expression shows the distributive property applied to 6 x 47?
A.47 x 6 x 6
B.6 x 40 x 7
C.6 + 40 + 7
D.6 x 40 + 6 x 7
Explanation: The distributive property breaks 47 into 40 + 7, giving 6 x 40 + 6 x 7 = 240 + 42 = 282. This decomposition is a key mental-math and place-value strategy.
6A student computes 503 - 287 and gets 384. The most likely error is that the student
A.forgot to line up the place values
B.added instead of subtracted
C.subtracted the smaller digit from the larger in each column instead of regrouping
D.subtracted left to right correctly
Explanation: In the ones column the student did 7 - 3 = 4 and in the tens 8 - 0 = 8 rather than regrouping across the zero, yielding 384. The correct answer is 503 - 287 = 216. This 'subtract smaller from larger' error is one of the most common subtraction misconceptions.
7Which of these is a prime number?
A.27
B.21
C.29
D.51
Explanation: 29 has exactly two factors, 1 and 29, so it is prime. The others are composite: 21 = 3 x 7, 27 = 3 x 9, and 51 = 3 x 17.
8What is 2/3 divided by 1/6?
A.2/18
B.1/9
C.4
D.12
Explanation: Dividing by 1/6 means multiplying by its reciprocal 6: 2/3 x 6/1 = 12/3 = 4. So 1/6 fits into 2/3 exactly 4 times.
9A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed with 12 cups of sugar?
A.6
B.18
C.8
D.24
Explanation: The ratio 2:3 scales by 4 since 3 x 4 = 12, so flour is 2 x 4 = 8 cups. Proportional reasoning keeps the ratio constant.
10Which decimal is equal to 7/8?
A.0.875
B.0.78
C.0.87
D.1.142
Explanation: Dividing 7 by 8 gives 0.875. Each eighth equals 0.125, and 7 x 0.125 = 0.875.
About the Praxis Elem CKT Math Practice Questions
Verified exam format metadata for Praxis Elementary Education: Content Knowledge for Teaching — Mathematics (7813) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.