#### Great Gifts for Math Lovers 2023

Our annual Holiday Gift Guide is here again to help you find awesome presents for the math lovers in your life! Check out our recommendations.

**Child Ready Answers**

First Grade: 11 + 12 = ___

There are two ways to think about 11 + 12, both require mastery of doubles facts. Think about the double, then add 1 or take away 1. So, for 11 + 12 start with 11 + 11 and add 1. 11 + 11 is 22, so 11 + 12 is 23. Or start with 12 + 12 and take away 1. 12 + 12 is 24, so 11 + 12 is 23.

Second Grade: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = ___

Since 10s are easy to add up, find pairs that add up to 10. 1 plus 9 is 10, and 2 plus 8 is 10. It's a pattern. 3 plus 7 is 10, etc. Add up all the 10s (the four 10s from the pairs and the single 10) and you get 50, plus the 5 left over = 55.

Third Grade: How much is 99 plus 99 plus 99?

100s are almost as easy to add as 10s. Since 99 is one less than 100, adding three 99s gives you
3 less than 300 = 297.

Fourth Grade: If 2 candies cost 5¢, how many candies can you buy for 35¢?

14 candies. To solve, reason in groups. here are 7 nickels (5¢) in 35¢. So, 2 candies,
7 times is 14 candies.

Fifth Grade: Which is greatest: 17⁄18, 23⁄30, or 18⁄19? Explain how you got your answer.

A fraction shows what part of a whole. ^{23}⁄_{30} is out of the running because it isn't even close to a whole (1), whereas ^{17}⁄_{18} and ^{18}⁄_{19} are almost 1. When you divide something into more parts, each piece is smaller (think of cutting up a pie into a hundred pieces - each piece would be really small!). So, a piece of a pie with 19 pieces is smaller than a piece of pie with 18 pieces, so ^{18}⁄_{19} is bigger than ^{17}⁄_{18} because "the smaller the missing piece, the more that is left."

Sixth Grade: Halfway through the second quarter, how much of the game is left?

The game is divided into 4 parts, called "quarters." If we divide each quarter in half, we get 8 eighths. The first quarter is ^{2}⁄_{8}. Half of the next quarter is another ^{1}⁄_{8}. That's ^{3}⁄_{8}. After the first 3 eighths, there are 5 more eighths left in the game. In other words, ^{5}⁄_{8} of the game is left.

Seventh Grade: How much is 6½% of 250?

Percent means “’for each’ ‘hundred.’” There are two and a half hundreds in 250. So, it’s 6½ for the first hundred, plus 6½ for the second hundred, plus half of 6½ (which is 3¼) for the fifty, or 6½ + 6½ + 3¼ = 16¼.

Pre-Algebra: If *a* = 5, *b* = 2 and *c* = 7, evaluate 3*a*^{2} + 5*b*(*c* – 4).

105. Substitute the values into the expression. Try to use mental math whenever possible.
75 + 10(3) = 105.

Algebra: Solve for *x*: -3(2*x* + 7) = 39.

*x* = -10. Before diving in and distributing the -3, take a moment and see if a mental math approach would work. Dividing both sides by -3 leaves 2*x* + 7 = -13. Subtract 7 from both sides to get 2*x* = -20. Divide both sides by 2 to get *x* = -10.

Geometry: What is the absolute value of the point (3, 4)?

Absolute value means "the distance from 0." So the question really is, "How far from 0 is the point (3, 4)?" The key to solving this problem is to realize that this distance [from 0 to (3, 4)] is the hypotenuse of a right triangle whose legs are 3 and 4. This can be visualized by dropping a perpendicular line from (3, 4) to the x-axis. The leg on the x-axis is 3, and the distance from the *x*-axis to the point is 4. So, using the Pythagorean theorem, *a*^{2} + *b*^{2} = *c*^{2}, we get 3^{2} + 4^{2} = *c*^{2}. Solving for *c*, we get *c*^{2} = 9 + 16 = 25, so *c* = 5. So, the absolute value of the point (3, 4), its distance from 0, is 5.

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