Fractions
Decimals
Percents
Ratios/Proportions
Signed Numbers
100
Jack spent 1/3 of an hour on the phone in the morning and 1/2 of an hour on the phone in the afternoon. How much time did he spend on the phone altogether?
1/3 +1/2 (*hint* find a common denominator first) turns into 2/6 +3/6= *Answer* 5/6
100
A CK player selling for $125.00 is on sale for $89.99. If Sue purchases the player at the sale price, how much does she save?
125.00 - 89.99 (*hint* line the decimals up)= *Answer* $35.01
100
solving for part kim bought a desk for $55.00. After she refinished it, she sold it at 250% of its original price. What did she sell it for?
250% x 55 (*hint* convert percent into a decimal by moving the assumed decimal point at the right, two places to the left)= 2.5 x 55= *Answer* $137.50
100
You have a basket of 20 balls: 9 are white and 11 are red. What is the ratio of white balls to the red balls?
(*hint* ratios can be represented using : or /) *Answer* 9/11 or 9:11
100
find the sum of +8, -6, -5
(*hint* add like signed numbers keeping the sign, then take the difference of opposite signed numbers, the sign of the answer is the same as the largest number) (+8) + (-6) + (-5)= (+8) + (-11)= *Answer* -3
200
Mark lives 7 1/2 miles from school. Al lives 7 1/8 miles from school. Al lives how much closer to school than Mark?
7 1/2- 7 1/8 (*hint* find a common denominator, you may need to borrow from the whole number and add it as a fraction)= 7 8/16- 7 2/16= 6/16 (*hint* remember to reduce to simplest form) *Answer* 3/8
200
Tom earns $197.25 a week as a word processor. He makes $15.75 in overtime. What is his week's earnings?
$197.25 + 15.75=(*hint* line up the decimals) *Answer* $213.00
200
solving for percent The Johnson's paid $2320 in property tax on their $160,000 home. What percent is their tax rate?
(*hint* identify the parts, then rewrite as an equation) 2320 is the part & 160,000 is the whole= 2320 is what % of 160,000 (*hint* divide the part by the whole and move the decimal two places to the right and add %)= 2320 / 160,000= *Answer* 1.45%
200
write as a statement comparing the two ratios 1:2 = 8:16
*Answer* 1 is to 2 as 8 is to 16
200
(-3) + (-4) -(+5) - (-6)
(*hint* first change the sign of the number being subtracted to the opposite sign and change the subtraction to addition, add like signed numbers keeping the sign, then take the difference of opposite signed numbers, the sign of the answer is the same as the largest number) (-3) + (-4) -(+5) - (-6)= (-3) + (-4) + (-5) + (+6)= (-12) + (+6)=*Answer* -6
300
Harold needs 2/3 majority of the vote to be elected sheriff. If 1200 people vote, how many votes does he need to be elected?
2/3 x 1200 (*hint* remember that any whole number can be placed over 1 to create a fraction)= 2/3 x 1200/1 (*hint* reduce/cross reduce when possible)= 2/1 x 400/1= 800/1= *Answer* 800
300
DAILY DOUBLE Joyce has a Christmas savings plan. She saves $10.25 a week for 50 weeks. If she completes her plan, how much will she save?
50 x 10.25 (*hint* multiply the number, count all numbers to right of decimals and count over the number of places in your answer and place the decimal there)= $512.00
300
solving for the whole Joyce received a $6.75 tip. It was 15% of the cost of the meal. What was the cost of the meal?
(*hint* identify the parts, and convert into an equation) 6.75 is the part & 15% is the percent= $6.75 is 15% of what (*hint* drop the % move the assumed decimal at right end two places to left & divide into 6.75)= 6.75/ .15= *Answer* $45
300
find the unknown of the proportion 5/7 = N/105
(*hint* N is the missing number, find cross product of the numbers you know, divide each number by the number that is with the unknown) 5/7 =N/105 turns into 5 x 105=7N that then becomes 525=7N then 525/7=N and *Answer* 75
300
multiply (-8) (-1) (+5) (-3)
(*hint* an even number of - signs yields a positive number, an odd number of - signs yields a negative number) (-8) (-1) (+5) (-3) has 3 - numbers, 3 is an odd number so my answer will be - *Answer* -120
400
If 15 3/4 pounds of grass seed was used to seed five acres, how much seed was used per acre?
15 3/4 / 5 (*hint* convert mixed number into an improper fraction, remember to change to multiplication and take the reciprocal of divisor)=63/4 x 1/5= 63/20 (*hint* change back into a mixed numeral)= *Answer* 3 3/20
400
A gas station pumped 675.25 gallons of gas in 2.5 hours. How much gas was pumped in ah hour?
675.25 / 2.5 (*hint* move the decimal point in the divisor to the right end of the divisor, move the decimal point in the dividend the same amount to the right and add zeros if necessary)= *Answer* 270.10
400
solving for percent Out of 51 questions on the test, Tom answered 34 correctly. What percent of the total is that?
(*hint* identify the parts and translate into an equation) 34 is the part & 51 is the whole)= 34 is what percent of 51 (*hint* divide the part by the whole and move the decimal over two places to the right and add %, round to the nearest tenths as needed)= 34 / 51= *Answer* approximately 66.7%
400
Nicole is a beautician. She takes care of 9 customers in 5 hours. What is the ratio of customers to hours?
(*hint* ratios can represented using : or /) *Answer* 9:5 or 9/5
400
DAILY DOUBLE divide 72/-9
(*hint* an even number of - signs yields a positive number, an odd number of - signs yields a negative number) *Answer* -8
500
convert the fraction into a decimal 5/8
5/8 (*hint* divide numerator by denominator)= *Answer* .625
500
convert the decimal into a percent .75
.75 (*hint* move the decimal point two places to the right and add %)= *Answer* 75%
500
convert the percent into a decimal & fraction 50%
(*hint* to convert to a decimal move the assumed decimal point at the right two places to the left: to convert to a fraction begin from the decimal you now have & determine place value of the last number in the decimal, use this as the denominator and use the decimal without the decimal as numerator, reduce where necessary) *Answer* .5 *Answer* 1/2
500
A town wants to keep its ration of 7 parks to 5,000 people. If the town grows to 15,000 people, how many parks will it need?
(*hint* N is the missing number, find cross product of the numbers you know, divide each number by the number that is with the unknown) 7/5000 =N/15,000 turns into 15,000 * 7=5000N then 105000=5000N then 105000/5000=N *Answer* 21
500
(-3) (-4)/6
(*hint* always do multiplication & division from left to right, an even number of - signs yields a positive number, an odd number of - signs yields a negative number) *Answer* 2
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