IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 409 - 415 of 614

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Passage

Study the graph below and answer the following questions.

Polygon poly1Polygon poly1: Polygon [A, B, 4] Polygon poly1Polygon poly1: Polygon [A, B, 4] Segment fSegment f: Segment [A, B] of Polygon poly1Segment gSegment g: Segment [B, C] of Polygon poly1Segment hSegment h: Segment [C, D] of Polygon poly1Segment iSegment i: Segment [D, A] of Polygon poly1Segment jSegment j: Segment [E, F] Segment kSegment k: Segment [G, H] Segment lSegment l: Segment [I, J] Segment mSegment m: Segment [K, L] Segment nSegment n: Segment [M, N] Segment pSegment p: Segment [O, P] Segment qSegment q: Segment [Q, R] Segment rSegment r: Segment [S, T] Segment sSegment s: Segment [U, V] Segment tSegment t: Segment [W, Z] Segment aSegment a: Segment [A_1, B_1] Segment a_1Segment a_1: Segment [A_2, B_2] Segment a_2Segment a_2: Segment [A_4, B_4] Segment a_3Segment a_3: Segment [A_6, B_6] Segment a_4Segment a_4: Segment [A_8, B_8] Segment a_5Segment a_5: Segment [A_ {10}, B_ {10} ] Segment a_6Segment a_6: Segment [A_ {12}, B_ {12} ] Segment a_7Segment a_7: Segment [A_ {14}, B_ {14} ] Segment a_8Segment a_8: Segment [A_ {16}, B_ {16} ] Segment a_9Segment a_9: Segment [A_ {18}, B_ {18} ] Segment a_ {10}Segment a_ {10}: Segment [A_ {20}, B_ {20} ] Segment bSegment b: Segment [E_1, F_1] Segment cSegment c: Segment [G_1, H_1] Segment dSegment d: Segment [I_1, K_1] Segment k_1Segment k_1: Segment [Q_1, R_1] Segment eSegment e: Segment [M_1, N_1] Segment j_1Segment j_1: Segment [O_1, P_1] Point E_1E_1 = (-1.7,7.68) Point E_1E_1 = (-1.7,7.68) Point F_1Point F_1: Point on jPoint F_1Point F_1: Point on jPoint G_1G_1 = (-1.18,7.3) Point G_1G_1 = (-1.18,7.3) Point H_1H_1 = (0.75,8.25) Point H_1H_1 = (0.75,8.25) Point I_1I_1 = (-1.54,5.72) Point I_1I_1 = (-1.54,5.72) Point K_1K_1 = (-0.72,6.81) Point K_1K_1 = (-0.72,6.81) Point Q_1Q_1 = (1.71,5.72) Point Q_1Q_1 = (1.71,5.72) Point R_1R_1 = (1.73,4.27) Point R_1R_1 = (1.73,4.27) Point M_1Point M_1: Intersection point of r, a_7Point M_1Point M_1: Intersection point of r, a_7Point N_1Point N_1: Intersection point of r, a_ {10} Point N_1Point N_1: Intersection point of r, a_ {10} Point O_1Point O_1: Intersection point of q, a_4Point O_1Point O_1: Intersection point of q, a_4Point P_1Point P_1: Point on a_4Point P_1Point P_1: Point on a_4Figure Ptext1 = “Figure P”Figure Qtext1_1 = “Figure Q”Figure Rtext1_2 = “Figure R”

In Grid Figure P, Q and R Are Given

Showing image of figure P, Q and R on grid

Question number: 409 (1 of 3 Based on Passage) Show Passage

» Geometry

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MCQ▾

Question

Which figure shows pair of intersecting lines?

Choices

Choice (4)Response

a.

Figure R and Q

b.

Figure P only

c.

Figure Q only

d.

Figure R and P

Question number: 410 (2 of 3 Based on Passage) Show Passage

» Geometry

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MCQ▾

Question

Which figure shows the intersecting angle is ?

Choices

Choice (4)Response

a.

Figure Q only

b.

Figure R and P

c.

Figure R and Q

d.

Figure R only

Question number: 411 (3 of 3 Based on Passage) Show Passage

» Geometry

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MCQ▾

Question

Which figure shows pair of lines that appear to be non-intersecting lines?

Choices

Choice (4)Response

a.

Figure Q only

b.

Figure R and P

c.

Figure P only

d.

Figure R and Q

Passage

The bar graph shows Raman’s income from January to May.

{"chart":{"plotBackgroundColor":null,"plotShadow":true,"backgroundColor":"transparent","width":600},"title":{"text":"Months Vs. Income "},"tooltip":{"pointFormat":"{series.name}: {point.y}"},"credits":{"enabled":false},"xAxis":{"categories":["January"," February"," March"," April"," May"],"title":{"text":"Months"}},"yAxis":{"type":"linear","title":{"text":"Income (In Rs.)"}},"plotOptions":{"series":{"allowPointSelect":true,"cursor":"pointer"}},"legend":{"floating":false,"backgroundColor":"white","borderColor":"silver","borderWidth":1,"shadow":true,"align":"right"},"series":[{"type":"column","name":"Months Vs. Income ","data":[1000,3000,5340,3650,4210],"colors":[{"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)"]]},{"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)"]]}],"dataLabels":{"enabled":true,"style":{"color":"black"},"connectorColor":"silver"}}]}
Created with Highcharts 5.0. 6MonthsIncome (In Rs. ) Months Vs. Income1 0001 0003 0003 0005 3405 3403 6503 6504 2104 210Months Vs. IncomeJanuaryFebruaryMarchAprilMay02k4k6k MarchMonths Vs. Income: 5 340

Question number: 412 (1 of 5 Based on Passage) Show Passage

» Data Handling

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MCQ▾

Question

If Raman spent of the amount of money he earned in May. How much money he spent in that month?

Choices

Choice (4)Response

a.

Rs. 2400

b.

Rs. 2450

c.

Rs. 2105

d.

Rs. 5600

Question number: 413 (2 of 5 Based on Passage) Show Passage

» Data Handling

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MCQ▾

Question

How much more did Raman earn in March than April?

Choices

Choice (4)Response

a.

Rs. 1690

b.

Rs. 3940

c.

Rs. 2250

d.

Rs. 5600

Question number: 414 (3 of 5 Based on Passage) Show Passage

» Data Handling

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MCQ▾

Question

Raman saved of the amount of money he earned in February. How much money did he spend in that month?

Choices

Choice (4)Response

a.

Rs. 1360

b.

Rs. 5600

c.

Rs. 2450

d.

Rs. 2400

Question number: 415 (4 of 5 Based on Passage) Show Passage

» Data Handling

Edit
MCQ▾

Question

How much more did Raman earn in April than February?

Choices

Choice (4)Response

a.

Rs. 2250

b.

Rs. 400

c.

Rs. 650

d.

Rs. 1360

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