End Of Year Puzzling Practice Swyk

Explanation
A square pyramid has 5 faces. It has a square base and four triangular faces that meet at a common point called the apex. The base of the pyramid has 4 sides, and each of the triangular faces has 3 sides. Therefore, the total number of faces is 1 (base) + 4 (triangular faces) = 5.

Explanation
A rectangular prism has 12 edges because it has 6 faces, and each face has 2 edges. Since a rectangular prism has 6 faces, each with 2 edges, the total number of edges is 6 multiplied by 2, which equals 12.

Explanation
The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the base length and height are not given, so we cannot determine the area of the parallelogram. Therefore, an explanation for the given correct answer of 75 cm² is not available.

Explanation
The given question asks for the sum of 4,125 and 2,698. By adding these two numbers together, we get a total of 6,823.

Explanation
The correct answer is 209.59 because when you add 84.28 and 125.31, you get a sum of 209.59.

Explanation
The correct answer is obtained by subtracting the second number (389) from the first number (511). This results in 122.

Explanation
The mode is the value that appears most frequently in a set of data. In this set of data, the number 4 appears three times, which is more than any other number. Therefore, the mode for this set of data is 4.

Explanation
The range for a set of data is the difference between the largest and smallest values in the set. In this case, the largest value is 10 and the smallest value is 2. Therefore, the range is 10 - 2 = 8.

Explanation
The correct answer is 4,112 because when you multiply 8 by 514, you get a product of 4,112.

Explanation
To multiply two numbers, we multiply each digit of the first number by each digit of the second number, starting from the rightmost digit. In this case, multiplying 547 by 124, we get a product of 67,828.

Explanation
When dividing 486 by 54, the quotient is the result of dividing the dividend (486) by the divisor (54). In this case, 486 divided by 54 equals 9.

Explanation
The equation given is 45 = m - 24. To find the value of m, we need to isolate it on one side of the equation. Adding 24 to both sides, we get m = 69. Therefore, the value of m that satisfies the equation is 69.

Explanation
If the spinner is divided into 5 equal sections and each section has an equal chance of being landed on, then the probability of landing on Orange is 1/5. To find the expected number of times to land on Orange, we multiply the probability by the number of spins: (1/5) * 100 = 20. Therefore, we can expect to land on Orange 20 times out of 100 spins.

Explanation
Jake has 28 cupcakes, and he and his 6 friends share them equally. To find out how many cupcakes each person gets, we divide the total number of cupcakes (28) by the total number of people (Jake + 6 friends = 7). Therefore, each person gets 4 cupcakes.

Explanation
A cat sleeps 15 hours a day, so to find out how many hours a cat sleeps during a week, we need to multiply 15 by 7 (the number of days in a week). This gives us 105 hours.

Explanation
The given equation is (54 - 10) x 2. First, we need to solve the subtraction inside the parentheses which is 54 - 10 = 44. Then, we multiply the result by 2, 44 x 2 = 88. Therefore, the correct answer is 88.

Explanation
The given expression follows the order of operations, which states that parentheses should be evaluated first, followed by multiplication and division, and finally addition and subtraction. In this expression, the parentheses are evaluated first: 9 + 4 = 13. Then, the multiplication is performed: 13 * 2 = 26. Next, the subtraction is done: 41 - 26 = 15. Finally, the addition is carried out: 15 + 1 = 16. Therefore, the correct answer is 16.