Gauss #1

Points P, Q and R are on a number line. Q is halfway between P and R. If P is at −6 and Q is at −1, then R is at (A) 4 (B) −11 (C) 3 (D) −7 (E) 5

How many different 3-digit whole numbers can be formed using the digits 4, 7 and 9, assuming that no digit can be repeated in a number?

The perimeter of the figure shown is

Carrie is travelling at a constant speed of 85 km/h. If Carrie is halfway through a 510 km trip, how much longer will the trip take?

The number 6 has exactly four positive divisors: 1, 2, 3, and 6. How many positive divisors does 20 have?

A box of fruit contains 20 apples, 10 oranges, and no other fruit. When a fruit is randomly chosen from the box, what is the probability that the fruit is an orange?

The graph shows the number of text messages received by Tanner in a given week. On what day did Tanner receive the most text messages?

Alex pays $2.25 to take the bus. Sam pays $3.00 to take the bus. If they each take the bus 20 times, how much less would Alex pay than Sam in total?

The value of 333 + 33 + 3 is

Which of these fractions is larger than 1/2? (A) 2/5 (B) 3/7 (C) 4/7 (D) 3/8 (E) 4/9

The value of 10 × (5 − 2) is

Which of the following is a multiple of 7? (A) 75 (B) 76 (C) 77 (D) 78 (E) 79

The graph shows the total distance that each of five runners ran during a one-hour training session. Which runner ran the least distance?

In the diagram, the fraction of the circle that is shaded is equal to

The measures of two angles of a triangle are 25◦ and 70◦ . The measure of the third angle is (A) 85◦ (B) 105◦ (C) 65◦ (D) 95◦ (E) 75◦

The number of centimetres in 3.5 metres is

Hannah scored 312 points during the basketball season. If her average (mean) was 13 points per game, how many games did she play?