CBSE PSA Sample Papers Class IX (Quantitative Reasoning) - 2013

Problem Solving Assessment Sample Papers : 2012-13

Section –C (Quantitative Reasoning))

In a market in Delhi, the price of a bag of 8 apples was 180. On the same day in Varanasi, a market was selling 5 apples for 100. A 3 kg bag was priced at 380 in Kolkata that day. In Mumbai, apples were selling for 230 a dozen. The apples each weighed 150 g. Where were the apples the cheapest?
1) Delhi
2) Kolkata
3) Mumbai
4) Varanasi

Deepa did a Mathematics test with a different design.
Each correct answer scored 8 marks, and each incorrect answer reduced the score by 4 marks.
The test contained 30 questions, and after completing it Deepa had a score of zero.
How many questions did she answer correctly?
1) 8
2) 10
3) 12
4) 15

In a test, Abha scored more than Bodhi, and Chatur scored less than Abha. Who had the lowest score?
1) Abha
2) Bodhi
3) Chatur
4) Not enough information provided.

A florist made as many identical bunches of flowers as she possibly could, using a total of 100 carnations, 150 tulips and 200 lilies.
How many flowers did she use in each bunch?
1) 5
2) 9
3) 10
4) 20

Vikhil has an appointment near the train station in the city at 10.30 am. To get to the city, Vikhil needs to catch a bus and then a train.The bus leaves from Vikhil’s stop every 10 minutes from 9.00am. The bus trip to the train station takes 25 minutes. From 9.30 am the train leaves for the city every 20 minutes. The train takes 15 minutes to get to the city. If Vikhil wants to arrive as close as possible to the appointment time, what is the latest bus he could catch?
1) 9.10 am
2) 9.20 am
3) 9.30 am
4) 9.40 am

Hydroponics is used to grow plants in water that contains nutrients. Sourav has a hydroponic vegetable garden with four levels.
Onions are growing immediately above tomatoes.
Capsicums are immediately below chillies.
Potatoes are immediately below tomatoes.
Chillies are not on the top level.
Only one level has two vegetables growing on it.
Which two vegetables are growing on the same level?
1) onions and chillies
2) potatoes and chillies
3) tomatoes and chillies
4) potatoes and capsicums

Read the following passage and answer the questions that follow:

The Pendulum Swing

A child moving backwards and forwards on a swing, the timing mechanism of a Grandfather clock and a weight swung to and fro on the end of a string are all examples of pendulums – devices first studied by the scientist Galileo Galilei in 1581. He noticed that, although all of the lanterns suspended from long chains in a cathedral swung backwards and forwards, they did so at different rates. He started to wonder what had the biggest effect on the period (the time taken for a lantern to make one complete swing forward and backward) – the length of the chain, the mass of the lantern or how far back the lantern was first moved before it started to swing (called its amplitude). As a scientist, he performed hundreds of experiments until he found out that all swinging objects or pendulums followed the same rules: firstly, pendulums that had the same length had the same period regardless of amplitude or the size of the mass at their end and, secondly, that the square of the period in seconds was proportional to the length of the pendulum.

In Galileo’s experiments to determine how the length of the pendulum affects its period, the independent variable would have been the pendulum’s
1) time.
2) mass.
3) length.
4) amplitude.

While investigating the effect of a pendulum’s mass on its period, the pendulum string breaks when you are only half way through collecting your 50 pieces of data. Which course of action is the most likely to produce unreliable results?
1) Knotting the string back together and continuing to collect data.
2) Using only the data that you collected before the string broke.
3) Starting the experiment over again with a new pendulum string.
4) Starting the experiment again using the shortened pendulum string.

Pendulum A swings twice during the time that pendulum B swings once. What is the relationship between their lengths?
1) Pendulum A is twice as long as pendulum B.
2) Pendulum B is twice as long as pendulum A.
3) Pendulum A is four times longer than pendulum B.
4) Pendulum B is four times longer than pendulum A.

Two pendulums, of different lengths are pulled back and released at the same time. If one has a period of 2 seconds and the other 3 seconds, how many times in a minute will both pendulums be back at their respective release points at the same time?
1) 10
2) 12
3) 15
4) 40


Courtesy: CBSE

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