Problem Solving Competition

If

 $x+y=3$  ,  $y+z=4$  , and  $z+x=5$  , find the value of  $x+y+z$  

• 4

• 5

• 6

• 7

• NG

If s equals a 1/2 percet of t, what percent of s is t?

• 20,000%

• 2,000%

• 200%

• 2%

• NG

If ther points (1, 3), (3, 5), and (6, y) all lie on the same line, what is the value of y?

• 8

• 7

• 6

• 5

• NG

If the sum of 5 consectuive positive integers is w, in terms of w, which of the following represents the sum of the next 5 consecutive positive integers?

• $w+5$

• $5w+5$

• $5w+25$

• $w+25$

• NG

What fraction of 1 week is 4 minutes?

• $\frac{1}{60}$

• $\frac{1}{168}$

• $\frac{1}{420}$

• $\frac{1}{1440}$

• NG

If  $ab=40$  ,  $\frac{a}{b}=\frac{5}{2}$  , and a and b are whole numbers, find the value of a. 

• 10

• 20

• 30

• 40

• NG

Isabella must take four 100-point tests in her math class. Her goal is to acheive an average grade of 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on the third test, she realized she can still reach her goal. What is the lowest possible score she could have made on the third test?

• 90

• 92

• 95

• 96

• NG

A shop advertieses everything is "half price in today's sale." In addition a coupon gives a 20% coupon discount on sale prices. Using the coupon, the price today represents what percentage of the original price?

• 10

• 40

• 60

• 70

• NG

What is the units digit of $13^{2020}$ ?

• 1

• 3

• 5

• 7

• NG

Write an expression to represent how many cubes are in the nth picture in the sequence.