Solutions to USC’s 21st High School Math Contest
... 17. (b) Let k be the number of all the people who are both nice and wise. Then, the number of wise people is 4k and the number of nice people is 2k. The number of people who are either wise or nice or both is 4k + 2k − k = 5k. If the number of all people is x, then x − 0.25x = 5k, so x = 20k/3. 18. ...
... 17. (b) Let k be the number of all the people who are both nice and wise. Then, the number of wise people is 4k and the number of nice people is 2k. The number of people who are either wise or nice or both is 4k + 2k − k = 5k. If the number of all people is x, then x − 0.25x = 5k, so x = 20k/3. 18. ...
7.NS.A.1.B Understand p + q as the number located a distance |q
... negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. 1) Use absolute value to express in simplest form: | ...
... negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. 1) Use absolute value to express in simplest form: | ...
File
... 19. The length of a diagonal of a rectangle is 10cm. What is the number of square centimeters in the maximum possible area of this rectangle? 20. When n is divided by 3, the remainder is 2. What is the remainder when 5n is divided by 3? 21. The perfect squares 1, 4, 9, 16, 25, …. are put into a stri ...
... 19. The length of a diagonal of a rectangle is 10cm. What is the number of square centimeters in the maximum possible area of this rectangle? 20. When n is divided by 3, the remainder is 2. What is the remainder when 5n is divided by 3? 21. The perfect squares 1, 4, 9, 16, 25, …. are put into a stri ...
Reducing Fractions
... ‘reduce’, which is the correct terminology? . . . We already said that 3/12 = 1/4, did we reduce or simplify this number? . . . ...
... ‘reduce’, which is the correct terminology? . . . We already said that 3/12 = 1/4, did we reduce or simplify this number? . . . ...
2008-9 Grade 6-7 Problems and Solutions
... batches, Reanna has lost $3 during these three batches. In order to have earned a net amount of $5, Reanna must have earned a total of $8, which means she has baked four batches. 11. Answer: 18. The digits must be 2, 3, 5, or 7, since these are the only primes less than 10. Since the sum of three od ...
... batches, Reanna has lost $3 during these three batches. In order to have earned a net amount of $5, Reanna must have earned a total of $8, which means she has baked four batches. 11. Answer: 18. The digits must be 2, 3, 5, or 7, since these are the only primes less than 10. Since the sum of three od ...
