TMA حل واجب الجامعة العربية المفتوحة

الفصل الدراسي الأول  2014 -2015

MU123 حل واجب الجامعة العربية المفتوحة

 MU123: Discovering Mathematics

Question-1: (20 marks)

1. (6 marks) Simplify:
2. ( -2 +1 )+ 5
3. -3(-2a+b)-(-9b)

• (1 – 5²) ÷ (1 – 3²) – (-10)

1. (6 marks) Convert the following units:
2. Express 576mm in centimeters.
3. Express 13.5kg in grams

• A person’s height is given as 1.75m. What will it be in centimeters?

1. (8 marks) Round a measurement of 1.069m to:
2. The nearest whole number of meters (2 marks)
3. Two significant figures   (2 marks)

• The harvest of wheat on a farm increases by 40% in one year. If the harvest of wheat last year was 60,000 bushels, what would the harvest be this year? (4 marks)

Question-2: (20 marks)

1. (6 marks) Use the appropriate formula to work out:
2. The average speed in kilometers per hour, if a distance of 35 km is covered in 55 minutes
3. The distance travelled in kilometers after traveling for 30 minutes at an average speed of 80 kilometers per hour.

• The time in seconds to cover a distance of 450 meters at an average speed of 10 meters per seconds.

1. ( 6 marks) Naismith’ Rule estimated that the time taken for a walk up a hill is given by the formula T =

T: is the time for the walk in hours.

D: is the horizontal distances walked in kilometers.

H: is the height climbed in meters.

Estimate how long a walk will take if the horizontal distance is 2km and the height is 217m.

1. 1. (6 marks) Use a factor tree to determine the prime factorization of the following numbers
      1. (6 marks) Use a factor tree to determine the prime factorization of the following numbers
      2. 500500(8 marks)Evaluate the following expressions if r = -3, s = 3, t = 1/3 and v = 5

Question-3: (20 marks)

1. (6 marks) Use a factor tree to determine the prime factorization of the following numbers
2. 500
3. 120

• Find the lowest common multiple and highest common factor of 250 and 60.

1. (14 marks) The following grade were earned by students on a midterm business math exam:

75      82      63      88      94

81      90      72      84      87

98      93      85      68      91

78      86      91      83      92

 

Find the mean, median and inter-quartile?

Find the deviations from the mean.

What percent of the students earned a grade that was below 80?

 

Question-4: (20 marks)

1. (4 marks) Solve the following equations:
2. 6 (x – 4) = 7 (x + 2)
3. 2 (x – 4) = + 3

 

1. (16 marks) This question is based on unit 6:
2. Calculate the slope of the line, which passes through (3,2) and (-1,10)

 

1. Find the equation of the line described in part a.

• Find the x-intercept and y-intercept of the line described in part a.

1. Draw the graph.

 

Question-5: (20 marks)

 

1. Use Microsoft Excel in drawing a circle graph to represent the following expenditures of a family with an annual income of $42,000.

 

1. Explain your results in 40-50 words.

 

Housing	$12,000
Food	$9,000
Clothing	$1,500
Transportation	$3,000
Tourism	$7,500
Insurance	$2,700
Utilities	$1,800
Savings	$4,500

50162036 الاتصال