Maths practice for 13 year olds - page 4 of 342
Number of problems found: 6832
- ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - Harold
Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC? - The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning.
- The ratio 19
The ratio of males to females in a school is 1:2. If there are 24 pupils, find the number of males. - Horseback riding
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply. Responses: A = 4(3x+2) B = 3(4x+ - Julia 4
Julia correctly solved a math problem by first dividing 44.5 by 5 and then subtracting 23 from the result. Which equation could be solved to get the same answer? Responses: A 5x+23=44.5 B 5(x-23)=44.5 C 5(x+23)=44.5 D 5x-23=44.5 - Drain and inlet
The reservoir is filled with inflow in 12 hours. It will drain through the drain in 9 hours. Can the tank overflow if we leave the inlet and outlet open at the same time? - A picture crop
Mr. Paul has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
- Ketchup vs mustard
A 20-ounce bottle of ketchup costs $2.80. A 14-ounce bottle of mustard costs 2.38. Which item costs less per pound? How much less? - The endpoints
The endpoints of a segment are (-6,1) and (10,11). What are the coordinates of its midpoint? - Saw a board
A board of 16 3-fourths inches is cut from a board that is 3 feet long. If the width of the saw cut is one-eighth inch, what is the length of the remaining piece? - Addition method
Solve for the variables by substitution or addition method: x + 3y = 19 5x + 3y = 35 - A bag 6
A bag contains 3 red marbles, 8 blue marbles, and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?
- Bus transportation
Your local varsity basketball team offers bus transportation for a playoff game. Each bus holds 56 people. A total of 328 people sign up. All buses are full except for the last bus. How many buses are used? Question 2: How many people are on the last bus? - An isosceles triangle
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in - BODMAS rules
To solve this problem using BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction), we need to arrange the numbers 50,5,1,10,1,10 in a way that results in 222. - The numerator
The numerator of the fraction is 5 more than its denominator. If 4 is added to the numerator and denominator, the fraction obtained is 6/5. What is that fraction? - Temperature drop 5
The temperature outside currently is 32 degrees, dropping at an average rate of 4 degrees per hour. If the temperature continues to drop at this rate throughout the evening, what will the temperature be in 9 hours?
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