National 2014 1. 2. 3.
When whole numbers are divided by a certain divisor, the largest possible remainder is 26. What is the divisor? The area of a square is increased by 300%. How many times larger is a side of the new square compared to a side of the original square? In 2004, the month of February had 5 Sundays. In which year right after 2004 will the month of February again have 5 Sundays?
4. A rectangle, with whole number dimensions, has an are of 24 sq/’ uare cm. What is the length of the longest string that can enclose the rectangle? Teacher Mila gave some candies for her pupils who came early to school yesterday. She gave each pupil 4 candies and had 2 extra candies left. Had she given each pupil 5 candies, she would have been short by 3 candies. How many pupils came early yesterday? 6. There were 60 blue banners and 18 red banners displayed in a row. Later, some blue banners were replaced with red banners resulting to 12 more blue banners than red banners. How many blue banners were replaced with red banners? 7. There are 32 schools taking part in a knockout basketball tournament. The winner of each match moves on to the next round. How many matches must be played before the champion of the tournament emerges? 8. Jim, Mar and Jom, worked together to finish their project. If the project was done by only 1 pupil, the time needed for Jim, Mar and Jom would have been 6 hours, 8 hours and 12 hours, respectively. After Jim and Mar had worked for 3 hours, Jim rested while Mar and Jom continued with the work and completed the project after some time. How many hours and minutes did it take Jim, Mar and Jom to finish the project? 9. Consider an open-top box where each face measures 1 meter by 1 meter. What is the area of the smallest rectangle from which a net for this box can be made? 10. What is the biggest sum of the differences of any two consecutive numbers found diagonally on a calendar? 11. 5.
12. Three identical wooden blocks each 10 cm long, 5 cm wide and 2 cm thick are glued together. What is the largest surface area that you can get? 13. A group of pupils earned money for charity by painting house numbers on the gate of each house. They received Php25.00 for each digit they painted. The house numbers begin with 1 and run in sequence 1, 2, 3, 4, 5, and so on. When the pupils completed the painting job, they had earned Php4, 625.00 in all. How many house numbers did they paint? 14. James and John each had a certain amount of money. If James gives John Php120.00, John will have as much money as James. If John gives James Php120.00, James will have twice as much as John. How much money did James and John have in all? 15. If 7 boxes each containing the same number of candies give a total of 91 candies, how many candies will 11 boxes contain? 16. Marko spent a total of Php98.00 for some notebooks for Php16.00 each and some ball pens for Php10.00 each. How many notebooks and how many ball pens did he buy? 17. At a candy store, 6 boxes of chocolate and 7 boxes of cookies cost as much as 14 boxes of chocolate and 5 boxes of cookies. If each box of chocolate cost Php18.00 less than a box of cookies, how much does each box of cookies cost? 18. Marcia sells flowers by the dozen. If she sells a dozen flowers at a discount of 15% of the marked price, she will make a profit of Php8.00. If she sells it at a discount of 30% of the marked price, she loses Php4.00. What is the cost price of a dozen flowers? 19. Some grade 6 girls made a circular formation. Starting from Rose and counting clockwise, Marie is the 13th girl. But starting from Rose and counting counterclockwise, Marie is the 18th girl. How many girls were there in all?
