15-second questions – 2 points each

1.) 17 more than the sum of 33 and 19 is equal to what number?

2.) If 3.05 x 76.9 = 234.545, what is 30.5 x 0.769?

3.) What digit(s) placed in the blank in 377_4 will make it divisible by 12?

4.) What is the sum of the largest prime less than 100 and the smallest prime greater than 100?

5.) If ¾ of the area of a rectangle is 84 cm2, what is the whole area?

6.) If 6 men can finish a job in 8 days, how long will 4 men finish the same job if they work at the same rate?

7.) Rita can put her pictures 4, 5 or 6 to a page in her album, with 2 pictures left over in each case. What is the smallest number of pictures for this to happen?

8.) A 15 cm by 10 cm picture was enlarged so that its dimensions increased by 20%. What is the area of the enlarged picture?

9.) The vertex angle of an isosceles triangle is 9o more than a base angle. What is the vertex angle?

10.) What is the largest 5-digit number which rounds to 27,000 to the nearest thousand?

11.) The perimeter of a square is 186 cm. How long is one side?

30-second questions – 3 points each

1.) Five consecutive whole numbers have a sum of 225. What is the largest number?

2.) A piece of plastic sheet is 4 m by 3.2 m. What is the smallest number of equal squares into which it can be cut?

Answer: 20 (note: this question has a problem because it did not specify the unit of the small square)

3.) How many ribbons, each 17/8dm long can be cut from a roll 3 m long?

4.) What is the smallest number by which you can multiply 2520 to make it a perfect square?

5.) Find the product of the prime numbers immediately before and after 30.

6.) Two numbers are in the ratio 5:8. If the difference is 36, what is the larger of the two numbers?

1-minute questions – 5 points each

1.) One cube has an edge of 9 cm. A second cube has an edge2/3that of the first cube. What is the ratio of the volume of the first cube to that of the second cube?

2.) A bunch of new 50-peso bills are consecutively numbered A23486 to A23500. What is the total peso value of the bills?

3.) A train travels 60 km in ¾ hour. If it maintains the same average speed, how far will it travel in 2 ½ hours?

4.) Nine small squares are put together to form a bigger square. If the perimeter of the big square is 192 cm, what is the area of each small square?

5.) Today, March 10, is Friday. What day is it 100 days from today?

6.) A piece of rope 75 m long is cut into three pieces in the ratio 4:5:6. How long is the longest piece?

Clincher questions

1.) What is the 20th odd counting number?

2.) To what exponent should 2 be raised to give a value of 512?