Problems And Answers PHIMO MOCK 2020 SECONDARY 1

21. Real numbers \(m, n\) satisfy the equation \(m^2 + n^2 = 0\). For how many values of \(x\) does the equation \(mx + b = 2020\) have?

22. When the length of a cuboid increases by 1cm, the volume will be increased by 12 cm³. When the width inceases by 2 cm, the volume will be increased by 15 cm³. When the height increases by 3 cm, the volume will increased by 30 cm³. Determine the volume of the cuboid in cm³.

23. The side length of an equilateral triangle is 4π ft. Its perimeter has the same value of the circumference of a certain circle. Determine the radius of the circle in ft.

24. A cube with side length 11cm is colored and cut into cubes with length equal to 1cm. Find the number of cubes with 2-side colored.

25. A certain rectangle has length and width that are both integers. If the area of the rectangle is 676, what is the minimum possible value of its perimeter?