Grade 5 MTAP Sectoral Finals Round

These are the Math Challenge Questions for Grade 5 Sectoral Finals.
More past tests can be found here and Grade 5 and 6 reviewers here. If you have old tests, kindly send it to mtapreviewers@gmail.com, so we can share it here with answers/solutions.

15-Second Questions

1.) Thrice what number is the same as the sum of 254 and 364?

2.) RJ pays P6.00 for a one-way ride to school. For how many two-way fares is P100.00 enough?

3.) For every 9 garlands that Liza can make, Rose can make 12 garlands. How many garlands did Liza make when Rose made 144?

4.) If I add 5 to 1/3 of a number, I get ½ of the number. What is the number?

5.) The average of three numbers is 27. The sum of two of them is 50. What is the third number?

6.) The volume of a cube is 125 cubic centimeters. What is its total surface area?

7.) What number is 20 more than the product of 11 and 13?

8.) Noni has 20 metres of ribbon. How many 40cm pieces can she cut from it?

9.) What digits can you use to fill the blank in 96_ to make it divisible by 6?

10.) What are the prime numbers between 70 and 80?

11.) If $\dfrac {6}{7} = \dfrac{84}{n}$, what is n?

12.) A vendor borrowed P15 000.00 from their cooperative at 10% simple interest per year. If he paid the loan after one year, how much in all did he pay?

30-Second Questions

1.) A bottle is 5/9 full of oil. Pete took 45mL and it was when ½ full. How many mL does the bottle hold when full?

2.) The sum of 7 consecutive odd numbers is 133. What is the largest of them?

3.) The perimeter of a rectangle is 64cm. If the length is 4cm more than the width, what is its area?

4.) A man left his house at 10:15 a.m and reached a town 30km away at 10:55 a.m. What was his average speed for the journey?

5.) The number of girls in school is 702. If they make up 45% of the pupils in the school, how many boys are there?

6.) Write 5.625 as an improper fraction with the fraction part in lowest terms.

7.) A salesman receives a monthly basic salary of P3 500.00 and a commission of 7% on all sales for the month. How much did he earn in a month when his sales was P245 500.00?

1-Minute Questions

1.) Two vendors together bought 325 melons for P5 850.00. One vendor got 3/5 of the melons. How much must be his share in the cost of the melons?

2.) There are 15 more ducks than pigs in a farm. If there are 102 legs, how man ducks are there in the farm?

3.) Rosa has P850.00, Jane has P215.00 less than twice as much as Rosa’s money. Ann has P65.00 more than Rosa. How much money do the three girls have?

4.) A 5cm cube is made up of 1cm cubes glued together. How many of the 1cm cubes are face to face with exactly 4 other cubes?

5.) If a:b = 4:7 and b:c = 5:3 what is a:c?

6.) What fraction is half of the sum of 3/5 and 5/7?

7.) Rose has 240 stamps while Ann has 260 stamps. How many stamps must Ann give to Rose so that Rose would have 50 more than Ann?

8.) What is the difference between the sum of the first 25 multiples of 4 in (4 + 8 + 12 … + 100) and the sum of the first 25 multiples of 3 in (3 is 3 + 6 + 9 + … + 75)?

15-Second Questions
1.) 200
2.) 8
3.) 108
4.) 30
5.) 31
6.) 150cm2
7.) 163
8.) 50
9.) 0, 6
10.) 71, 73, 79
11.) 98
12.) P16 500.00

30-Second Questions

1.) 810
2.) 25
3.) 252cm2
4.) 45km/hr
5.) 858
6.) 45/8
7.) P20 685.00

1-Minute Questions

1.) P3 510.00
2.) 27 ducks and 12 pigs
15 x 2 = 30 legs; 102 – 30 = 72
3.) P3 250.00
4.) 36
5.) 20:21
6.) 23/35
7.) 35
8.) 325