1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool?

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Chapter6: Arrays
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PROBLEM SET
Solve the following problems using inductive or deductive
reasoning. Show your solutions. You may use any approach or
strategy for as long as it is mathematically sound.
1. On a balance scale, two spools and one thimble balance eight
buttons. Also, one spool balances one thimble and a button.
How many buttons will balance one spool?
2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of
all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS.
No GORG is a GOOP. How many GORPS are neither GOOPS
nor GORGS?
3. Solve the following cryptarithms. (A cryptarithm is a
mathematical recreation in which the goal is to decipher an
arithmetic problem in which letters have been substituted for
single numerical digits.)
НЕ
НЕ
а.
b.
SUN
+ FUN
+ HE
SHE
SWIM
4. How many squares of all sizes are in an 8 x 8 checkerboard?
5. Fill out the squares below with the appropriate numbers giving
the required results in each cage.
3+
3
33+
4
1
3000х
1
4
4
2
1
3
3-
4
3
1
2
3/
3
1
4
2
Transcribed Image Text:PROBLEM SET Solve the following problems using inductive or deductive reasoning. Show your solutions. You may use any approach or strategy for as long as it is mathematically sound. 1. On a balance scale, two spools and one thimble balance eight buttons. Also, one spool balances one thimble and a button. How many buttons will balance one spool? 2. Every GOOP is a GORP. Half of all GORGS are GORPS. Half of all GORPS are GOOPS. There are 40 GORGS and 30 GOOPS. No GORG is a GOOP. How many GORPS are neither GOOPS nor GORGS? 3. Solve the following cryptarithms. (A cryptarithm is a mathematical recreation in which the goal is to decipher an arithmetic problem in which letters have been substituted for single numerical digits.) НЕ НЕ а. b. SUN + FUN + HE SHE SWIM 4. How many squares of all sizes are in an 8 x 8 checkerboard? 5. Fill out the squares below with the appropriate numbers giving the required results in each cage. 3+ 3 33+ 4 1 3000х 1 4 4 2 1 3 3- 4 3 1 2 3/ 3 1 4 2
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