# 2015 Grade 10 MTAP Sectoral Level

This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for  Grade 10. Please inform me if you see any errors.

More past tests 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.

Easy

1.) What is the next term in the arithmetic sequence whose first two terms are −18 and then 19?

2.) Express $-3 + \log_2 x + 3 \log_2 y$ as a single logarithm with base $2$.

3.) What should be the value of $c$ if the point where $f(x) = -x^2 + 2x + c$ attains its maximum, is also a zero of $f$?

4.) What is the reciprocal of $\sqrt[3]{9}- 2$ in simplest terms?

5.) If $\log_x25 = 4$, what is $\log_25x$Continue reading

# 2015 Grade 9 MTAP Sectoral Level

This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for  Grade 9. Please inform me if you see any errors.

More past tests 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.

Easy

1.) If $\displaystyle \frac {x}{y} = 2$, find $\frac {x^2 - y^2}{x^2 + y^2}$.

2.) In a cube with sides of length 1 cm, one vertex is denoted by A. What is the sum of the distances from A to each of the other vertices of the cube?

3.) Find two positive numbers in the ratio 7:12 so that the bigger number exceeds the smaller by 10.

# 2015 Grade 8 MTAP Sectoral Level

This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for  Grade 8. Please inform me if you see any errors.

More past tests 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.

Easy

1.) What is the slope of the line with equation $4x + 3y - 2 = 0$?

2.) Arnold is 7 years older than her sister Rica. If Arnold will turn 36 seven years from now, how old is Rica now?

3.) Solve for $x$ in the equation $2(x + 2) + x = 2x + 3$.

# 2015 Grade 7 MTAP Sectoral Level

This is the 2015 Metrobank-MTAP-NCR Math Challenge Sectoral Level for  Grade 7. Please inform me if you see any errors.

More past tests 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.

QUESTIONS

Easy

1.) What number must be added to -5 × -10 to produce -7 × 8?

2.) Find the area of a triangle with base 2x + 2 cm ad height 2x + 1 cm.

3.) The sum of two primes is 16. What is the largest possible value of their product?

# 2017 Grade 6 MTAP Elimination Round – Part 2

This is the 2017 Metrobank-MTAP-NCR Math Challenge Elimination Round for Grade 6 questions 26-50. Questions 1-25 can be found hereIf you see any error, please use the comment box below to inform me.

26.) You are given one hour to complete a contest. What fraction of the hour remains for you to complete the contest after thirty-fie minutes have elapsed?

27.) What is the value of 3/4 + 5/2 × 3/4?

28.) In a class of 30 students, 12 are boys. If 6 more girls join the class, what fraction of the class is now female?

29.) What is the value of the product

$(1 - \frac{1}{2})(1 - \frac{1}{3})(1 - \frac{1}{4})(1 - \frac{1}{5})$

30.) It requires 12 hours to fill 3/5 of a swimming pool. At this rate, how many hours is required to fill the remainder of the pool?  Continue reading