Top 10 Praxis Core Math Practice Questions

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nuary and later increased by \(10 \%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

E. 1.40D

7-The number 40.5 is 1,000 times greater than which of the following numbers?

A. 0.405

B. 0.0405

C. 0.0450

D. 0.00405

E. 0.000405

8- David’s current age is 42 years, and Ava’s current age is 6 years. In how many years David’s age will be 4 times Ava’s age?

A. 4

B. 6

C. 8

D. 10

E. 14

9-How many tiles of 8 \(cm^2\) are needed to cover a floor of dimension 6 cm by 24 cm?

A.6

B.12

C. 18

D. 24

E. 36

10-What is the median of these numbers? 4, 9, 13, 8, 15, 18, 5

A. 8

B. 9

C. 13

D. 15

E. 20

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Answers:

2- D
Check each option provided:
A.\( \frac{(4+5+8+11+12)}{5}=\frac{40}{5}=8\)
B. \(\frac{(1+5+8+11+12)}{5}=\frac{37}{5}=7.4\)
C. \(\frac{(1+4+8+11+12)}{5}=\frac{36}{5}=7.2\)
D. \(\frac{1+4+5+8+12}{5}=\frac{30}{5}=6\)
E. \(\frac{1+4+5+8+11}{5}=\frac{29}{5}=5.8\)

3- C
The weight of 12.2 meters of this rope is: \(12.2 × 600 g = 7320\) g
\(1 kg = \)g, therefore, 7320 g \(÷ 1000 = 7.32\) kg

4- E
\(y = 4ab + 3b^3\)
Plug in the values of a and b in the equation: \(a = 2\) and \(b = 3\)
\(y = 4 (2) (3) + 3 (3)3 = 24 + 3(27) = 24 + 81 = 105\)

5- D
\((g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x)
– x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6\)

6- B
To find the discount, multiply the number by \((100\% –\) rate of discount).
Therefore, for the first discount we get: (D) \((100\% – 20%) =\) (D) \((0.80) = 0.80\) D
For increase of \(10 \%: (0.85 D) (100% + 10%) = (0.85 D) (1.10) = 0.88 D = 88\%\) of D

7- B
1000 times the number is 40.5. Let x be the number, then:
\(1000x=40.5\)
\(x =\frac{40.5}{1000}=0.0405\)

8- B
Let’s review the options provided.
A. 4. In 4 years, David will be 46 and Ava will be 10. 46 is not 4 times 10.
B. 6. In 6 years, David will be 48 and Ava will be 12. 48 is 4 times 12!
C. 8. In 8 years, David will be 80 and Ava will be 14. 50 is not 4 times 14.
D. 10. In 10 years, David will be 52 and Ava will be 16. 52 is not 4 times 16.
E. 14. In 14 years, David will be 56 and Ava will be 20. 56 is not 4 times 20.

9- C
The area of the floor is: \(6 cm × 24 cm = 144 cm\)
The number is tiles needed \(= 144 ÷ 8 = 18\)

10- B
Write the numbers in order:
4, 5, 8, 9, 13, 15, 18
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

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