Lessons 11-12
John F. Kennedy was elected president in 1960 at the age of 43. In what year was he born?
Formula: later-earlier = difference
Show work: 1960-earlier = 43
1960-43=earlier
Earlier = 1917
Check: 1960-1917=43
Every day Arnold did the same number of push-ups. If he did 1225 push-ups in one week, then how many push-ups did he do each day?
Formula: dp=T
Show Work: 7p=1225
1225/7= p
p=175 push-ups
Check: 7*175=1,225
Form three equivalent fractions for 3/4 by multiplying by 5/5, 7/7 and 3/3
Rewrite + showing work:
3/4 *5/5 = 15/20
3/4*7/7= 21/28
3/4*3/3= 9/12
Answer: 15/20, 21/28, 9/12
What is the perimeter of this quadrilateral? (Mrs Martin to draw)
Formula: x+v+b+c= P (quad)
Show work: 3+3+2+5=13
Answer: 13
Solve 3/4-(1/4+2/4)
Rewrite: 3/4-(1/4+2/4)
Show Work: 3/4-3/4
Answer: 0
Cynthia had a lot of paper. After using 36 sheets for a report, only 164 sheets remained. How many sheets of paper did she have at first?
Formula: b - a = r
Show work: b-36=164
164+36=b
b=200 sheets of paper
Check: 200-36=164
Works in the orchard planted 375 trees. There were 25 trees in each row they planted. How many rows of trees did the workers plant?
Formula: dp=T
Show Work: 25d=375
375/25= d
p=15 rows
Check: 25*15=375
Find the number that makes the two fractions equivalent: 4/5=x/20
Rewrite: 4/5=x/20
Show work: 20/5=4 -> 4*4=16
4/5=16/20 (technically a check)
Answer: x=16
What is the perimeter of this regular pentagon?
Formula: P (pentagon)= 5x
Show work: 5*5=25
Answer: 25cm
Solve 5/2*5/6
Rewrite: 5/2*5/6
Show Work: 5*5, 2*6 = 25/12=2 1/12 (24/12=2)
Answer: 2 1/12
The product of 5 and 8 is how much greater than the sum of 5 and 8?
Formula: (5*8) - (5+8)
Show Work: 40-13=27
Check: None
Only 39% of the lights were one. What percent of the lights were off?
Formula: x+y=100%
Show Work: 39%+x=100%
100%-39%=x
x= 61%
Check: 39%+61%=100%
Find the number that makes the two fractions equivalent:3/8=9/x
Rewrite: 3/8=9/x
Show work: 9/3=3 -> 8*3=24
3/8=9/24 (technically a check)
Answer: x=24
(1/2)2
Rewrite: (1/2)2
Show work: 1/2*1/2=1/4
Answer:1/4
Solve √144
Rewrite: √144
Show Work: √144=12
Answer: 12
Dawn cranked for a number of turns. Then Tim gave the crank 216 turns. If the total number was 400, how many turns did Dawn give the crank?
Formula: a + b = x
Show Work: a + 216 = 400
400-216=a
a = 184
Check: 184+216=400
What is the probability of the spinner stopping at A? (Mrs. Martin draw picture)
redraw: draw simple circle (don't need spinner)
Show Work: the simple circle
Answer: 1/2
Reduce:
3/6
8/16
8 16/24
Rewrite & show work & answer:
3/6= 1/2 (divided by 3)
8/16=1/2 (divided by 8)
8 16/24 =8 2/3 (divided by 8)
Find the area o the rectangle (Mrs. Martin to draw)
Formula: A(rectangle)=lw
Show work: A=5*2
Answer=10in2
Solve √152
Rewrite: √152
Show Work: √ is canceled by 2 therefore 15 is alone
Answer: 15
In 1990 the population of Alabaster, Alabama was 14,619. By 2002, the population had increased to 24877. How much greater was the population of Alabaster in 2002?
Formula: x-b=q
Show Work: 24877-14619=q
q= 10258
Check: 14619+10258=24,877
What is probability of the spider not stopping on B? (Same picture that Mrs. Martin drew)
Redraw: pretty picture?
Show Work: the picture +
1/2 + 1/4 = 3/4
Answer: 3/4
Perform each indicated operation and reduce the result:
3 7/10 - 1 1/10=x
Rewrite:3 7/10 - 1 1/10=x
Show work:
3-1=2
7/10-1/10=6/10 -> (reduce by 2) 3/5
Answer: 2 3/5
Write a squaring fact and a square root fact illustrated by this 6 by 6 square (Mrs. Mart to draw)
Redraw: make the square
Answer: 62=36; √36=6
Write 1 4/5 as an improper fraction. Then multiply the improper fraction by 1/3 and reduce the product.
Rewrite: (1 4/5)* 1/3=x
Show Work:
1 4/5 =9/5
9/5*1/3=9/15 -> take out 3 = 3/5
Answer: 3/5