Statistics and Probability (IMO- Mathematics Olympiad (SOF) Class 9): Questions 64 - 70 of 101

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Passage

Cards marked with the number 5 to 104 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is

Question number: 64 (2 of 3 Based on Passage) Show Passage

» Statistics and Probability

MCQ▾

Question

A prime number less than 30.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 65 (3 of 3 Based on Passage) Show Passage

» Statistics and Probability

MCQ▾

Question

A number less than 21

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 66

» Statistics and Probability

MCQ▾

Question

Average of 15 numbers is 45. What should be added as 20th number to make the average 60?

Choices

Choice (4) Response

a.

410

b.

525

c.

758

d.

672

Question number: 67

» Statistics and Probability

MCQ▾

Question

One card is drawn from a well-shuffled deck of 52 cards. The probability of neither a heart nor a red king is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 68

» Statistics and Probability

MCQ▾

Question

A die is thrown once. The probability of getting an odd number is ________

Choices

Choice (4) Response

a.

2

b.

c.

d.

0

Question number: 69

» Statistics and Probability

MCQ▾

Question

The probability of guessing the correct answer to a certain test question is. If the probability of not guessing the correct answer to this question is , then x = ________

Choices

Choice (4) Response

a.

b.

c.

d.

5

Question number: 70

» Statistics and Probability

MCQ▾

Question

The owner of a plant nursery wanted to test the effectiveness of a new type of fertilizer. He measured the heights of 5 plants, and then gave each an equal amount of fertilizer. Two weeks later, he measured the heights of the plants again. The graph shows the height of the plants before and after the addition of fertilizer.

{"chart":{"plotBackgroundColor":null,"plotShadow":true,"backgroundColor":"transparent","width":600},"title":{"text":"PLANT HEIGHTS BEFORE AND AFTER THE ADDITION OF FERTILIZER"},"tooltip":{"pointFormat":"{series.name}: {point.y}"},"credits":{"enabled":false},"xAxis":{"categories":["Plant 1","Plant 2","Plant 3","Plant 4","Plant 5"],"title":{"text":"Plants"}},"yAxis":{"type":"linear","title":{"text":"Height (cm)"},"stackLabels":{"enabled":true,"style":{"fontWeight":"bold","color":"gray"}}},"plotOptions":{"series":{"allowPointSelect":true,"cursor":"pointer"}},"legend":{"floating":false,"backgroundColor":"white","borderColor":"silver","borderWidth":1,"shadow":true,"align":"right"},"series":[{"type":"column","name":"Heights Before addition of fertilizer","data":[12.5,15.5,13.5,18,17.5],"colors":[{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#7cb5ec"],[1,"rgb(48,105,160)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#434348"],[1,"rgb(0,0,0)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#90ed7d"],[1,"rgb(68,161,49)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f7a35c"],[1,"rgb(171,87,16)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#8085e9"],[1,"rgb(52,57,157)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f15c80"],[1,"rgb(165,16,52)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#e4d354"],[1,"rgb(152,135,8)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#2b908f"],[1,"rgb(0,68,67)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f45b5b"],[1,"rgb(168,15,15)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#91e8e1"],[1,"rgb(69,156,149)"]]}],"dataLabels":{"enabled":true,"style":{"color":"black"},"connectorColor":"silver"}},{"type":"column","name":"Heights two week after addition of fertilizer","data":[17,19.5,17.5,22.5,23],"colors":[{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f15c80"],[1,"rgb(165,16,52)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#e4d354"],[1,"rgb(152,135,8)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#2b908f"],[1,"rgb(0,68,67)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f45b5b"],[1,"rgb(168,15,15)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#91e8e1"],[1,"rgb(69,156,149)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#7cb5ec"],[1,"rgb(48,105,160)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#434348"],[1,"rgb(0,0,0)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#90ed7d"],[1,"rgb(68,161,49)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f7a35c"],[1,"rgb(171,87,16)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#8085e9"],[1,"rgb(52,57,157)"]]}],"dataLabels":{"enabled":true,"style":{"color":"black"},"connectorColor":"silver"}}]}
Created with Highcharts 4.2. 5PlantsHeight (cm) PLANT HEIGHTS BEFORE AND AFTER THE ADDITION OFFERTILIZERPLANT HEIGHTS BEFORE AND AFTER THE ADDITION OF FERTILIZER12.515.513.51817.51719.517.522.523Heights Before addition of fertilizerHeights two week after addition of fertilizerPlant 1Plant 2Plant 3Plant 4Plant 50102030Plant 5Heights two week after addition of fertilizer: 23

What was mean growth of the plants, to the nearest tenth of a centimeter?

Choices

Choice (4) Response

a.

4.5 cm

b.

6 cm

c.

5.5 cm

d.

5 cm

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