2011 Grade 6 MTAP Questions – Part 1

These are the 2011 Math Challenge Questions for Grade 6 questions 1-25. Questions 26-50 can be found here.

Solve each item and write the answer in the blank before the number.

1.) What number is 17 more than the difference of 95 and 37?
Answer: 75
Solution: 95 – 37 = 58
58 + 17 = 75

2.) Use exponents to express 5040 as a product of its prime factors.
Answer: 2^4 \times 3^2 \times 5 \times 7

3.) If 3,108 × 235 = 730,380, what is 31.08 × 2.35?
Answer: 73.038

4.) What is the value of 43 – 6 × 3 + 52?
Answer: 77
Solution: 43 – 6 × 3 + 52
= 43 – 18 + 52
= 25 + 52
= 77

5.) What is the value of 5 in 358 348 129?
Answer: Ten million  Continue reading “2011 Grade 6 MTAP Questions – Part 1”

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_25xContinue reading “2015 Grade 10 MTAP Sectoral Level”

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.

Continue reading “2015 Grade 9 MTAP Sectoral Level”

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.

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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”