Grade 6
1997 Individual Round 1
Properties of Numbers, Geometry, Sequences, Series, Pre-Algebra
Individual Rounds in the Math Masters Competitions are timed (10 minutes), and calculators are allowed.
Note: Test Preparation Packets containing hundreds of problems (fact drills,
individual and team) from previous years' competitions can be ordered
from Math Masters of Minnesota.
1. If the following lengths are arranged from shortest to longest, which one would be in the middle?
7 feet
25 centimeters
3 meters
80 inches
1 kilometer
2. Which of figures A, B, or C has the same perimeter as figure X?
3. What is the missing number in this sequence?
1, 3, 7, 15, 31, 63, ___, 255.
4. A spider is on a crack in a brick wall 400 millimeters above the ground. It climbs 520 millimeters straight up, 340 millimeters straight down, 200 millimeters straight up, and then straight down 210 millimeters. How many millimeters is the spider above the crack where it started?
5. Which of the following statements accurately represents the following sentence?
Six less than twice a number is 17.
a) 6-2n=17
b) 2n+17=6
c) 6n-2=17
d) 2n-6=17
6. What is the largest prime number between 58 and 66?
7. George went on a 18 mile bicycle ride. He arrived at this destination in 1 hour and 30 minutes. What was his average speed (in miles per hour) on this ride?
8. John played the game "Above and Below Zero" with his friend Jack. Each person starts at -10 points (that is, they each have a score of 10 points below zero). The results of the 4 rounds for John were:
Round 1: John lost 14 points.
Round 2: John lost 43 points.
Round 3: John gained 50 points.
Round 4: John lost 28 points.
What was John's score after Round 4?
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