REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.)

Transcription

1 - - REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev (Note: No calculators are allowed at the time of the test.) = =. 7 X 6 =. 6 7 =. = Anne saves $7 every month out of her monthly salary of $. What is her annual salary? How much does she save in one year?. Brian can type an average of words per minute. His term report contains words. How long will it take him to type it? 9. + = 6. + =. - =. 6-7 =. - =. X =. 6. = =

2 X = = = =.. X.6 =... =. Express as a repeating decimal.. Change 7 to a percent.. Convert. to a fraction expressed in lowest terms. 6. Convert. to a percent. 7. If Dan received of all votes cast in an election, what percent of the votes did he get?. 7% of = 9. 6 is what percent of?. % of a number is. Find the number.. Susan bought a $. shirt, which is reduced by one-fifth. If there is a % sales tax, how much tax did she pay?. A house valued at $9, is assessed for of its value. If the tax levy is $ per $ of assessed valuation per year, what is the yearly tax bill?. Find the simple interest on $9 for years 6 months at % interest using the formula i = prt, where t is expressed in years.. A salesperson earns a weekly salary of $ and a % rate of commission on her sales. She sold $7 worth of merchandise one week. How much did she earn that week?

3 - -. The wages of people working at Burger King totaled $6 for weeks. At the same weekly rate, what is the total earned by people for weeks? 6. If a room measures yards feet and inches in length what is its length in feet? 7. Solve for p in the proportion: p =. If you can travel km in hours, how far can you go in hours? 9. If a person scored 9, 7, 9, 76 and on daily tests, what was his average score?. A rectangular flower bed is to be fenced in using 96 feet of fencing. If the length is three times as long as the width, find the length and width.. The average of two numbers is. If one of the numbers is, what is the other number?. 7 feet inches - feet inches = feet. Convert feet per second ( ) to feet per minute. sec.. - (6-). 9 = 6. What is the least common multiple of 6 and? 7. What is the greatest common factor of 6 and?. Solve for x if: x + = 9. Solve for a if: 7a =. 6x x =. Factor into prime factors.. -7 =. =. 6. x =.. x - =

4 - - SOLUTIONS TO NUMERICAL SKILLS ASSESSMENT REVIEW x 6 6 _ R

5 If her monthly salary is $, then her yearly salary is times $. $ x 97 _ 7 The yearly salary is $7,. 7 X 7_ She saves $7 every month, so that in one year she saves times $7. She saves $, in one year.. If he can type words per minute and he needs to type words, then to find out how long it will take him divide by. 7 It will take him 7 minutes = The least common denominator (L.C.D.) is = = = L.C.D. is. 7 + = + = + = =. - = L.C.D. is. - = - =

6 = L.C.D. is. 6 = 6-7 = = L.C.D. is. - = 9 =. X First convert the mixed numeral to an improper fraction. = 9 9 X =. Invert the divisor and multiply. 9 X = =

7 Invert the divisor and multiply. X = 7. x = 6 For problems, 9 and : To add or subtract decimals, the decimal point must be lined up To multiply decimals, multiply as in the multiplication of whole numbers. The numbers of decimal places in the answer is the total number of decimal places in the numbers being multiplied. Hence, this problem will have decimal places in the answer.. X.6. x

8 Move the decimal point two places to the right in the divisor and dividend. Then divide To express a fraction as a decimal, divide the numerator by the denominator This pattern will keep repeating so we put a line over the 6 in the quotient to show that it repeats.. To change a fraction to a percent, convert it to a decimal and then move the decimal point places to the right to convert the decimal to a percent = 7.% 9.. = = Divide numerator and denominator by to reduce the fraction. 6.. =.% To convert a decimal to a percent move the decimal point places to the right.

9 See explanation for problem #..6 = 6%. 7% of 7% =.7 Convert 7% to a decimal and multiply times. X.7. = 9. 6 is what percent of? Make a fraction, indicating what fractional part 6 is of. Reduce and then convert to a percent. 6 =.. = %. Change % to a decimal. % =. Divide by..... Take of $: x = $ The reduced price is $ - $ = $ % of $:. X : x.. Hence, there is $. tax that she will pay.

10 Take of $9,: x = $67, The assessed valuation is $67,. Divide $67, by $ and get 67 which is to be multiplied by, resulting in $ as the yearly tax bill.. Convert years 6 months to. years, and % to. i = prt i = (9)(.)(.) = 7 i = $7. Take % of $7 to find her commission: Add $7 commission to the $ weekly salary to get her earning for the week. 7 x. 7. $ + $7 $. The people earned $6 for weeks. We then know that each person earned $6 or $. If he earned $ for weeks, then he earned $ or $ for one week. If one person earned $ for one week, then people earned x $ = $6 for one week. For three weeks they then earned $6 x = $. 6. There are feet in one yard. Therefore, yards = 6 feet. There are inches in one foot. Therefore, inches = = foot. yards feet and inches = feet = feet or. feet. 7. Cross multiply to solve the proportion: p p = 96 p =

11 - -. Set up a proportion and then cross multiply to solve it. Let x = distance in hours. You can go 6 km in hours. x x = x = 6 9. To find the average, add the scores and divide by the number of tests = average test score. Sketch the rectangle and label the length as three times the width. To go all the way around it, add each side: w + w + w + w = 96 w = 96 w w = The width is feet. The length is x or 6 feet. w w w. Let n = the other number n = - Multiply both sides of the equation by : n + = - Add to both sides: n + = - - = - n =- The other number is.

12 feet inches = 7 feet 6 inches - feet inches = - feet 6 inches feet 6 inches. There are 6 seconds in one minute. feet sec. x 6sec. min. = 6ft. min.. ( ) - (6-) () First simplify what is inside the ( ): - () Next, do the squaring: - (9) Divide and multiply and then subtract: - = 7. 9 = 7 because 7 = 9 6. is the least common multiple of 6 and because it is the smallest number which is divisible by both 6 and. 7. is the greatest common factor of 6 and because it is the largest number which divides evenly into 6 and.. x + = Add to both sides of the equation: x + = - - x = a = Multiply both sides of the equation by 7 7 7a = 7 a =. 6x - x = (6-)x = x Subtract like terms.

13 - -. = x x. -7 = 7 The absolute value of a number is positive.. =. 6. x = 6. x = 6 Move the decimal two places to the right... x - =. x. =. Move the decimal three places to the left.