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.

Continue reading “2015 Grade 8 MTAP Sectoral Level”

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?

Continue reading “2015 Grade 7 MTAP Sectoral Level”

2016 MTAP Elimination Questions with Solutions

I am happy to announce that I have acquired a copy of the 2016 MTAP Elimination Questions with complete solutions for Grade 7, 8, 9, and 10.

You can download the file here.

Enjoy problem solving!

Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 5

This is the fifth part (questions 41-50) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 11-20, 21 – 30, and 31 – 40 

41.) If f (2x) = 2 - 3x, what is f(10)?

Solution
2x = 10, x = 5.
f(10) = 3 - 3(5) = -13

Answer: – 13

42.) What is the equation of the line that is parallel to 2x + 5y + 6 = 0 and passes through (1, 1)?

Solution

Parallel lines have the same slope, so we get the slope of the given line. That is,

2x + 5y = -6
5y = -2x - 6
y = \frac{-2}{5}x - \frac{6}{5}

So, the slope of the given line is -\frac{2}{5}Continue reading “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 5”

Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 4

This is the fourth part (questions 31-40) of the solutions of the Grade 8 MTAP 2015 Elimination Questions. You can read the solutions for questions 1-10 11-20, and 21 – 30

Although these solutions were carefully checked, the solver is only human. Kindly comment in the box below if you see any errors.

31.) Factor completely: a^2c^2 + b^2d^2 - a^2d^2 - b^2c^2.

Solution

Rearranging the terms, we obtain
a^2c^2 - a^2d^2 - b^2c^2 + b^2d^2.

Factoring by grouping, we have
a^2(c^2 - d^2) - b^2(c^2 - d^2)
= (c^2 - d^2)(a^2 - b^2)
= (c - d)(c + d)(a - b)(a + b).

Answer: (a + b)(a – b)(c + d)(c – d)  Continue reading “Grade 8 MTAP 2015 Elimination Questions with Solutions – Part 4”