Discover Math Answers for Summer 2008
JULY Answers:
1) The letters A, B, C, D, E, M, T, U, V, W and Y all have one line of symmetry.
2) 14, 21, 34, 55, 99, 154, 253, 407, 660, 1,067
3) 270 cubic inches
4) 11, 18, 29, 47
7) 8,191
8) 3
6 1 7
4 8 5
2
9) nonagon
11) 69, 88, 96
12)
13) July 13
Shortest: 91 days (Sept 13 – Dec 13 and/or Apr 13 – July 13)
Longest: 414 days (July 13-Sept 13)
14) Possible answers: 7 and 21; 14 and 28; 21 and 35
15) 2002; 2112
16) 40; it is not a multiple of 6 (or 3)
17) B
18) 18
19) 18.5; 16.5
20)
Greatest number – 312,132
Least number – 231,213
21) 78 degrees
22) 45
(462 x 3) / 0.1 = 13860 - 13860 / 308 = 45
23) Each day the grasshopper goes 1/8 m until the day when the
grasshopper is at 1.75m in morning, he gets out of the hole that
day. 1.75/(1/8)=14 and 14 + 1 = 15 days.
24) 2
25) 135 quarters
27) 40
28) 60
29) 90
31) 102
AUGUST Answers:
5) 5
6) 28 (1, 2, 4, 7, 14)
7) $90
8)
A. green
B. blue
C. blue
11) Rosa plays the sax, Kim plays drums, Julie plays trumpet, Keith plays flute, and Lily plays clarinet.
14) A = 24; B = 4; C = 14; D = 18
15)
10,560 feet
3,520 yards
16) 16
17) 36, 6
1 quarter, 2 dimes, 2 nickels, 45 pennies OR 2 dimes, 8 nickels, 40 pennies
20)
It is January 1. Jeremy’s birthday is December 31. On December 30, he was 9 years old. On December 31, he turned 10. He will turn 11 on December 31 of this year and will turn 12 on December 31 of next year!
Three rungs will still be under the water since the floating ship will rise as the water level rises.
A = 57; B=19; C = 36; D = 3
26
+ 26 + 26 = 78
25)
4 3 1 2
4 5 4
4 1 2 7
---------
8 8 9 3
+1572 1753
+1753 -152
+1601 ------
------ 1601
4926
The following pattern holds: The sum is equal to n x n, when n is the number of consecutive odd numbers, starting with 1. For example, the sum of the first 3 odd numbers is equal to 3 x 3, or 9; the sum of the first 4 odd numbers is equal to 4 x 4, or 16; the sum of the first 5 odd numbers is equal to 5 x 5, or 25; and so on.
28)
12 - 7 = 5 people in bare feet
29) 91 + 9 = 100
30)
He can’t dig half a hole because a hole is a hole. There’s no such thing as half a hole! (Luckily I did not include too many riddles, right? They can lead to frustration!! J)
31) 10 cherries