Grade 6
If you multiply me by any other number, the answer will always be the same. What number am I?
What is the smallest number that is divisible by all numbers from 1 to 10?
2520
A pizza is cut into 8 equal slices. If you eat 3 slices and your friend eats 2 slices, what fraction of the pizza is left? Express in simplest form.
3/8
If x² = 64, what are all possible values of x?
x = 8 or x = -8
What is the slope of a line passing through points (2, 5) and (6, 13)?
2
A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost?
$0.05 (5 cents)
If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 minutes?
5 cats
The sum of three consecutive even numbers is 84. What is the largest of these three numbers?
30
Two trains are traveling toward each other on the same track. One train is traveling at 60 mph, the other at 40 mph. They start 150 miles apart. How long until they meet?
1.5 hours (or 1 hour 30 minutes)
If f(x) = 2x + 3, what is f(f(2))?
17
I am a three-digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less than my tens digit. What number am I?
194
A number is doubled, then increased by 7, then halved, then decreased by 3. The result is 10. What was the original number?
9.5
A square and an equilateral triangle have the same perimeter. If the square has a side length of 12 cm, what is the side length of the triangle?
16cm
The average of five numbers is 18. If one of the numbers is removed, the average of the remaining four numbers is 16. What number was removed?
26
The sum of the first n positive integers is 210. What is the value of n?
20
In a classroom, 1/3 of the students are wearing blue shirts, 1/4 are wearing red shirts, and 1/6 are wearing green shirts. The remaining 9 students are wearing other colors. How many students are in the classroom?
36 students
A school has 1000 lockers and 1000 students. On the first day, the first student opens all lockers. The second student closes every 2nd locker. The third student toggles every 3rd locker. This continues for all 1000 students. How many lockers are left open?
31 lockers
In a bag, there are red, blue, and green marbles in the ratio 2:3:5. If there are 15 blue marbles, how many marbles are in the bag in total?
50 marbles
Solve for x: (x-3)/4 + (x+2)/3 = 5
x = 61/7 (approximately 8.71)
A circle has a circumference of 31.4 cm (use π ≈ 3.14). What is its area?
78.5 cm²
A rectangular garden is 3 times as long as it is wide. If the width is increased by 4 meters and the length is increased by 5 meters, the area increases by 130 square meters. What are the original dimensions?
Width: 10 meters, Length: 30 meters
Three friends split a restaurant bill. If the first pays 1/2, the second pays 1/3, and the third pays $9, how much was the total bill?
$54
A rectangle's length is 4 cm more than twice its width. If the perimeter is 44 cm, what is the area of the rectangle?
120 cm²
A father is 3 times as old as his son. In 12 years, he will be twice as old as his son. How old is the son now?
12 years old
In a geometric sequence, the first term is 3 and the third term is 12. What is the fifth term?
48