# Tag Archives: mtap reviewers with answers

## 2017 Grade 9 Math Challenge – Elimination Round with answer key – Part I

Below are the 2017 Grade 9 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Find the value of c that will make $x^2 - 20x + c$ a perfect square.

2.) Solve for x in $16x^2 - 10 = 15.$

3.) A number and its reciprocal have a sum of $\frac{13}{6}$. Find the larger of these two numbers.

4.) Solve for x in $(x^2 + 1)^2 + 2(x^2 + 1) - 35 = 0.$

5.) Solve the inequality $x^2 - 2x - 35 \leq 0$ for x.

## 2013 Grade 9 Math Challenge – Elimination Round with answer key – Part II

Below are the 2013 Grade 9 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the Past Tests and All Posts pages.

26.) A right trangle has legs $4 \sqrt{5}$ and $2 \sqrt{5}$. How long is the hypotenus?

27.) Quadrilateral PQRS has right angles at P and R. If PQ = 9, PS = 12 and QR = 10, find RS.

28.) What is the area of quadrilateral PQRS from the previous problem?

29.) The shortest legs of two similar triangles are 5 and 7.5. If the bigger triangle has perimeter 33, find the perimeter of the smaller triangle.

## 2013 Grade 9 Math Challenge – Elimination Round with answer key – Part I

Below are the 2013 Grade 9 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify:
$\dfrac{(-2x^{-3}y^4)^{-2}}{x^5y{-3}} \times (3x^{-2}y^{-1})^4$

2.) Simplify:
$\dfrac{6\sqrt{2}}{\sqrt{7} - 2}$

3.) Simplify:
$-2 \sqrt{75} + 5 \sqrt{12} - 4 \sqrt{27}$

4.) Simplify:
$6mn^4 \sqrt[3]{8m^{11}n^4}- 2m^3n \sqrt[3]{m^5n^{13}}$

5.) Simplify:
$xy^2 \sqrt{16x^3y^5} - 7y \sqrt{x^5y^7} + 4y^3 \sqrt{4x^5y^3}$, if x > 0 and y > 0.

## Grade 5 MTAP Regional Finals Round (Individual Written Competition)

These are the Math Challenge Questions for Grade 5 Regional Finals.
More past tests can be found here and more Grade 5 reviewers can be found here. If you have old tests, kindly send it to mtapreviewers@gmail.com, so we can share it here with answers/solutions.

Part I

1.) What is the least common multiple of 90 and 126?

2.) A worker can assemble a toy boat in 6 hours. A machine can reduce the time in the ratio 3:10. How long will the machine take to assemble the toy boat?

3.) A square has a side of 8cm. A second square has a side of 12cm. What is the ratio of their areas?

## Grade 5 MTAP Regional Finals Round (Team Oral)

These are the Math Challenge Questions for Grade 5 Regional Finals.
More past tests can be found here and more Grade 5 reviewers can be found here. If you have old tests, kindly send it to mtapreviewers@gmail.com, so we can share it here with answers/solutions.

15-Second Questions

1.) What is the average of 9.45 and 9.55?

2.) What is the largest number that rounds to 27 500

3.) Find the biggest two-digit number that leaves a reminder of 3 when divided by 7?