Free Math Kangaroo practice test — Grade 6

Correct answer: A

Let's say the ball costs x cents. Then, the bat costs x + $1.00. Together, they cost x + (x + $1.00) = $1.10. Simplifying, 2x + $1.00 = $1.10, so 2x = $0.10, and x = $0.05. 💡 Tip: Set up an equation based on the information given in the problem.

Correct answer: C

First, calculate the total number of loaves sold in 5 days: 250 loaves/day * 5 days = 1250 loaves. Then, divide the total number of loaves by the number of loaves per box: 1250 loaves / 12 loaves/box. This gives 104.166... boxes, but since you cannot have a fraction of a box and the question asks for the number of boxes needed to pack all the bread, you must round up to the nearest whole number. However, calculating correctly: 1250 / 12 = 104.166... Since we can't have part of a box and the bakery would need to pack all the bread, we would indeed need 104 full boxes to pack 1248 loaves (104 * 12 = 1248) and then one more box to pack the remaining 2 loaves, making it 105 boxes. But since we're asked for the total number of boxes to pack all the bread and the bakery sells a whole number of loaves each day, the focus should be on calculating the exact number of boxes needed for 1250 loaves without implying the need for rounding. The correct step should involve recognizing that 1250 loaves require 104 full boxes (to pack 1248 loaves) and 1 additional box for the remaining 2 loaves, but in the context of calculating the total number of boxes directly: 1250 loaves / 12 loaves per box = 104.166... The actual process to find the number of boxes directly for 1250 loaves, considering you must have whole boxes, should directly consider how many boxes are needed to cover 1250 loaves without the fractional part implying an additional box beyond full ones. Thus, correctly understanding the division gives us the number of boxes directly without additional steps for rounding. The direct and straightforward approach to calculate the number of boxes needed for 1250 loaves should simply divide the total loaves by loaves per box, recognizing the bakery's need for whole boxes to pack all bread sold over 5 days correctly. 💡 Tip: Calculate the total number of loaves sold and then divide by the number of loaves per box, considering the need for whole boxes.

Correct answer: B

Using the Pythagorean theorem, we can find the length of the other leg. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, we have c^2 = a^2 + b^2. We know c = 10 and one of the legs (let's say a) = 6. Plugging these values into the equation gives us 10^2 = 6^2 + b^2. Solving for b gives us b^2 = 100 - 36 = 64, and b = sqrt(64) = 8 cm. 💡 Tip: Remember the Pythagorean theorem and that the square root of 64 is 8.

Correct answer: B

The first shelf can hold 8 books, the second shelf can hold the next 8 books (total 16 books), and the 20th book will be the 4th book on the 3rd shelf. 💡 Tip: Visualize the process of adding books one by one to the shelves until the 20th book is placed.

Correct answer: B

Since one coin is not a nickel, it doesn't mean that the other coin can't be a nickel. However, given that the coins add up to 30 cents, if one is a quarter (25 cents), the other must be a nickel (5 cents). But we're told one is not a nickel, so this seems to be a contradiction. However, considering the options and the information given, the only viable option is a quarter (25 cents) and a nickel (5 cents), but since 'one coin is not a nickel', this implies the other could be, making the statement about not being a nickel a bit misleading. The correct interpretation under the given options and the usual coins available is a quarter and a nickel, but understanding the intent of the puzzle is key. 💡 Tip: Consider all possible coin combinations that add up to 30 cents and the wording of the puzzle carefully.