GOTM - Math Grade 5 Placement Test
Please complete this form if you plan to enroll in our Grade 5 Math group classes.
1. How many of the following numbers are prime? 1, 2, 3, 11, 22, 51, 49, 91?
3 points
2. What is the sum of all the multiples of 3 that are among the numbers in the following list: 15, 25, 51, 65, 75, 78, 111?
5 points
3. Laura has 48 apps on her phone and her bff Sonya has 73 apps. However, in total they have only 90 apps that are distinct. How many apps are there on their phones that they both have?
4 points
4. A rectangle has area 100 square units and its sides have different, integer length sides. What is the largest perimeter it can have?
3 points
5. Tina runs from her home to Sandra's home in 20 min. Sandra can run from her home to Tina's home in 40 min. If they both start at the same time from their respective homes, after how many minutes will they meet?
5 points
6. If the number pattern continues in the same manner as can be observed in the following sequence, what is the 97th number in it? {2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, etc.}
5 points
7. The number 126 has a quotient of 15 and a remainder of 6 when divided by a whole number
3 points
8. Nancy bought 5 oranges and 2 apples and paid \$3.40. At the same shop, Paul bought 3 oranges and 1 apple and paid \$2.00. What will James pay if he buys 4 oranges and 2 apples?
3 points
9. A number is called "excellent" if it is a multiple of 5 and a factor of 80. How many excellent numbers are there?
3 points
10. Sally and Uma are making pancakes. Sally made an even number of pancakes and Uma made an odd number of pancakes. Then, Sally ate an odd number of pancakes and Uma ate an even number of pancakes. The number of pancakes left over is:
7 points