Math Grade 8 Competition test

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 – 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

• Kathy will complete the repairs within 108 days.

• Kathy starts each week with 108 phones to fix.

• Kathy repairs phones at a rate of 108 per hour.

• Kathy repairs phones at a rate of 108 per day.

(x²y − 3y² + 5xy²) − (−x²y + 3xy² − 3y²)

Which of the following is equivalent to the expression above?

• 4x²y²

• 8xy²−6y²

• 2x²y+2xy²

• 2x²y+8xy²−6y²

h = 3a+28.6

A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?

• 3

• 5.7

• 9.5

• 14.3

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

• 5/p

• p – 5

• p + 5

• p/5

• 1- p + 5

Which of the following expressions is equal to 0 for some value of x ?

• |x-1|-1

• |x+1|+1

• |1-x|+1

• |x-1|+1

Which conclusion follows from the statements with absolute certainty?

None of the runners is a teacher.

All of the attendees are runners.

• Some drones are

  teachers

• No runners are

  attendees

• Teachers are not

  attendees

• All runners are

  teachers

A college professor teaches a class of 80 students. Fourteen students are business majors, six are education majors, and the rest are undecided. What percentage of the class is undecided?

• 50 %

• 75 %

• 60 %

• 25 %

Afraid is to scared as brave is to _______.

• courageous

• cowardly

• timid

• trustworthy

Which figure belongs in the empty spot?

• 6

• 2

• 3

• 4

• 5

250 people attended the first showing of a play. Of the 250, 75 were adults above the age of 40, 50 were between the ages of 20 and 40, and 25 were teenagers ages 13-19. What percentage of the attendees were children 12 and under?

• 35%

• 25%

• 60%

• 40%