Sunday, January 27, 2013

PSA 2013



CBSE PSA FOR CLASS IX AND XI ( PROBLEM SOLVING ASSESSMENTS),2013

SUGGESTIONS:
ABOUT:
Quantitative reasoning is the application of mathematical concepts and skills to solve real-world problems. In order to perform effectively as professionals and citizens, students must become competent in reading and using quantitative data, in understanding quantitative evidence and in applying basic quantitative skills to the solution of real-life problems.
QUANTITATIVE REASONING : The  question generally comes under this section are of the following nature viz Qunatitative Comparison , Problem Solving and Data Interpretation .In this section students needs to solve the problems using basic concepts of Arithmetic Algebra Geometry and Data Analysis.

Q1:
Which of the numbers below represents the following: Six million, four hundred sixty-two thousand, three hundred fifty-one.

            A: 6,351,462
            B: 6,462,000
            C: 6,462,351
            D: 600,462,351




Q2:
Compare the following numbers and use symbols to show the relationship. 4,912,641 4,931,221

A: >
B: <
C: =
D: None of the above

Q3:

Can you order the following numbers from GREATEST TO LEAST using the greater than and less than symbols? 45,999 54,923 223,564 1,344,534

A: 1,344,524>223,564>54,923>45,999
B: 223,564>54,923>45,999>1,344,524
C: 45,99>54,923>223,564>1,344,524
D: 1,344,524<223 span="">


Q4:
The fraction 3/8 is equivalent(equal) to which of the following fractions?

A: 6/24
B: 9/24
C: 3/24
D: 8/3

Q5:
Look at the figure below, what fractions are equivalent to the shaded region of the following illustration?
test
CHECK ALL THAT APPLY.

A: 2/9
B: 6/18
C: 4/18
D: 7/9

Q6:
Using the figure below, write the number of shaded circles as a MIXED NUMBER.
test

A: http://www.softschools.com/math/images/506_6a.jpg
B: http://www.softschools.com/math/images/506_6b.jpg
C: http://www.softschools.com/math/images/506_6c.jpg
D: http://www.softschools.com/math/images/506_6d.jpg
Q7:
Which of the following decimals is equivalent to the fraction 3/100?

A: 3.00
B: 0.30
C: 0.03
D: 0.003
Q8:
APPROXIMATELY how many total eggs are in the box if there are: 62 eggs in one basket 51 eggs in another basket 79 eggs in the last basket

A: 192
B: 190
C: 200
D: 180
Q9:
Which of the following two is GREATER? 4/10 0.49

A: 0.49
B: 4/10
C: They are equal.

Q10:
What is the result when you add the following numbers? 0.52 + 3 + 2.42

A: 6.00
B: 5.94
C: 10.62
D: 3.76
ANSWER:







1C




2 B
Explanation: The digits in the millions place are the same, they are both 4 million. The hundred-thousands digits are both the same, 9. The ten-thousands digits are different, one is 1 and the other is 3. The ten-thousands digit that is greater is 3, therefore 4,931,221 is the greater number.




3A Explanation: Make sure that your greater than and less than symbols are pointing in the right direction and make sure that you have ordered the numbers starting from the GREATEST number and ending with the LEAST number.


4B  Explanation: (3/8) x (3/3) = 9/24 The other choices are not proportional to 3/8. The last choice of 8/3 is the reciprocal of 3/8 but it is notequal to3/8




5A,C




6  C  
Explanation: 3 1/4 is a mixed number. There are three completely shaded circles and 1/4 of another circle is shaded in.


7  C 
Explanation: 3/100 = 0.03. If you take the number 3 and move the decimal over twice to the left you are left with 0.03. The decimal is moved over to the left twice because there are 2 zeros in 100.




8 B 
Explanation: Round each basket to the nearest 10. 60 + 50 + 80 = 190 eggs in the box




9 A 
Explanation: 0.49 is greater because in fraction form it is 49/100. 4/10 is equivalent to 40/100, which is less than 49/100.





10 B 
Explanation: 0.52 + 3 = 3.52 + 2.42 = 5.94








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