Name:______
Math Apps 1st Quarterly Review Packet
1. / Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.7 8 10 13 17 22 28 ____
2. / Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.
9 13 10 14 11 15 12 16 ____
3. / Use inductive reasoning to make a conjecture about a rule that relates the original number to the final answer. Try to prove your conjecture using deductive reasoning.
Select a number.
Add 20.
Multiply by 4.
Subtract 80.
Divide by 4.
Subtract the original number.
4. / Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of the final calculation, and perform the operation to see if your answer is correct.
12,345,679 × 9 = 111,111,111
12,345,679 × 18 = 222,222,222
12,345,679 × 27 = 333,333,333
.
.
.
12,345,679 × 63 = ?
5. / Determine whether the type of reasoning used is inductive or deductive reasoning.
If an appliance repairman says it will cost $175 to fix my washing machine, it will actually cost $200. Since an appliance repairman told me it would cost $175 to fix my washing machine, I can expect it to cost me $200.
6. / Use deductive reasoning to arrive at a conclusion.
On Christmas Day, Chinese restaurants and grocery stores are always open, so this Christmas Day we can
7. / Round to the nearest ten-thousand. 234,472
8. / Round 815,537,421 to the nearest hundred-thousand.
9. / The peak rate of a phone company is 30¢ per minute, and the off-peak rate is 10¢ per minute. Find the savings for a 15-minute phone call if it was made during off-peak time as opposed to peak time.
10. / The demographics of an elementary school are shown below. The school has 265 students. Estimate the number of students who are Black Non-Hispanic.
11. / Estimate the number of people living in the US in 1995.
Source:
12. / The length of a garden is double its width. There is a fence around the perimeter that measures 96 ft. What are the length and width of the garden?
21. / Abby has 12 phone cards worth either $20 or $15. How many of each does she have if the phone cards total $220?
22. / A person's monthly budget includes $354 for food, $178 for gasoline, and $130 for utilities. If the person earns $2,604 per month, how much money is left for other expenses?
1. / Determine whether each sentence is a statement or not.
i. Could you help me?
ii. He is not home.
iii. Over here.
iv. My cat loves tuna.
2. / Classify each statement as simple or compound.
i. You get paid if and only if you show up for work.
ii. I am going to get a dog or a cat.
iii. She has over $2000 in her savings account.
iv. He likes cats and dogs.
4. / Write the negation of the statement.
It is not true that my mother is from outer space.
8. / Construct a truth table for the following statement.
p~ q
What are the values in the final column?
p / q / ~ q / p~ q
9. / Construct a truth table for the following statement.
p / q / (p q) / ~(p q) /
18. / Write the converse, inverse, and contrapositve of the conditional statement.
I will buy a new computer if my laptop breaks.