This is the 2017 MTAP Grade 7 Math Challenge questions Sectoral Level. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page

Easy

1.) The following scores are in ascending order: 10; 12; 16; 19; 20 and 22. Find the median.

2.) Convert 250 cm² to m² in fraction form.

3.) Compute:
$6 \times \dfrac{-3 + 12}{-2 - 8}$.

4.) Twice the measure of angle A plus 30° is equal to its complement. Find the measure of angle A.

5.) What integer is closest to $\sqrt{450}?$

## 2018 Grade 10 Math Challenge – National Level – Team Orals

Below are the 2018 Grade 10 Math Challenge – National Level – Team Orals questions with answers. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) Find the reciprocal of the sum of the reciprocals of $x - y$ and $x+y$. Write your answer as a single expression.

2.) A circle and a square have equal areas.The circle has circumference $2\pi$. What is the length of the side of the square.

3.) How many 5-letter strings can be made from the word MANGO if each string should start with a vowel.

4.) A circle is divided by 3 points into 3 non-overlapping arcs whose measures are in the ratio 5 ∶ 5 ∶ 2. Find the smallest angle of the triangle formed by the 3 points.

5.) Two fair dice are rolled? What is the probability that the product of the resulting numbers is an odd prime?

## 2018 Grade 10 Math Challenge – National Level – Individual Finals

Below are the 2018 Grade 10 Math Challenge – National Level – Individual Finals questions with answers. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) Find the value of $-\dfrac{1}{32}$ raised to $-\dfrac{4}{5}$

2.) Factor completely: $4x^3 + 9x^2 - 4x - 9.$

3.) The legs of a right triangle have lengths $\sqrt{5}cm$ and $\sqrt{7}cm$. How long (in cm) is the median to the hypotenuse?

4.) Find the sum of the numerator and the denominator when the repeating decimal 0.212 121 . . . is written as a fraction in lowest terms?

5.) Let A and B be two distinct points on a circle. If major arc AB is 40° more than minor arc AB, find the

## 2018 Grade 6 Math Challenge – National Level – Team Orals

Below are the 2018 Grade 6 Math Challenge – National Level – Team Orals questions with answers. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) A businessman buys sacks of rice at ₧1600 per sack, and sells them 120% up the price. How much is he selling each sack of rice?

2.) When $\dfrac {2}{3}$ is added to a number, the result is $1\dfrac {1}{6}$. What is the number?

3.) The sum of the first twenty counting numbers is 210. Find the sum of the next twenty counting numbers.

4.) The length of a rectangle is twice its width. If its perimeter is 24 cm, what is its area?

5.) The least 3-digit number that is a multiple of 40 is 120 and the largest is 960. How many 3-digit multiples of 40 are there?

## 2018 Grade 6 Math Challenge – National Level – Individual Orals

Below are the 2018 Grade 6 Math Challenge – National Level – Individual Orals questions with answers. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) Paula bought a dress at 20%discount. If she paid ₧328 for it, how much is the dress originally?

2.) One-fourth of a number is two-thirds of 15. What is the number?

3.) Find the LCD of $\dfrac{3}{10}, \dfrac{8}{15}$ and ${11}{20}.$

4.) In 4 years, Carlo will be twice as long as he was 4 years ago. How old is Carlo now?

5.) Yesterday, it rained $\dfrac {2}{3}$ cm in the morning and $\dfrac{5}{12}$ cm in the afternoon. How much did it rain altogether?