Top 10 ParaPro Math Practice Questions
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\( -x^2 +3x – 6\)
6- The marked price of a computer is \(D\) dollars. Its price decreased by \(20\%\) in January 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 will David’s age 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:
1- C
Set of number that are not composite between \(1\) and \(25: A= {2, 3, 5, 7, 11, 13, 17, 19, 23}\)
\(Probability =\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{25}\)
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: \(12.2 × 600 g = 7320 g\)
\(1 kg = 1000 g\), 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 \(10 \%\): \((0.80 D)\) \((100%\)\( + 10%)\)) \(=\) \((0.80 D) (1.10)\) \(= 0.88 D = 88\%\) 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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