IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 409 - 416 of 614

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Passage

Study the graph below and answer the following questions.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment j Segment j: Segment [E, F] Segment k Segment k: Segment [G, H] Segment l Segment l: Segment [I, J] Segment m Segment m: Segment [K, L] Segment n Segment n: Segment [M, N] Segment p Segment p: Segment [O, P] Segment q Segment q: Segment [Q, R] Segment r Segment r: Segment [S, T] Segment s Segment s: Segment [U, V] Segment t Segment t: Segment [W, Z] Segment a Segment a: Segment [A_1, B_1] Segment a_1 Segment a_1: Segment [A_2, B_2] Segment a_2 Segment a_2: Segment [A_4, B_4] Segment a_3 Segment a_3: Segment [A_6, B_6] Segment a_4 Segment a_4: Segment [A_8, B_8] Segment a_5 Segment a_5: Segment [A_ {10}, B_ {10} ] Segment a_6 Segment a_6: Segment [A_ {12}, B_ {12} ] Segment a_7 Segment a_7: Segment [A_ {14}, B_ {14} ] Segment a_8 Segment a_8: Segment [A_ {16}, B_ {16} ] Segment a_9 Segment a_9: Segment [A_ {18}, B_ {18} ] Segment a_ {10} Segment a_ {10}: Segment [A_ {20}, B_ {20} ] Segment b Segment b: Segment [E_1, F_1] Segment c Segment c: Segment [G_1, H_1] Segment d Segment d: Segment [I_1, K_1] Segment k_1 Segment k_1: Segment [Q_1, R_1] Segment e Segment e: Segment [M_1, N_1] Segment j_1 Segment j_1: Segment [O_1, P_1] Point E_1 E_1 = (-1.7,7.68) Point E_1 E_1 = (-1.7,7.68) Point F_1 Point F_1: Point on j Point F_1 Point F_1: Point on j Point G_1 G_1 = (-1.18,7.3) Point G_1 G_1 = (-1.18,7.3) Point H_1 H_1 = (0.75,8.25) Point H_1 H_1 = (0.75,8.25) Point I_1 I_1 = (-1.54,5.72) Point I_1 I_1 = (-1.54,5.72) Point K_1 K_1 = (-0.72,6.81) Point K_1 K_1 = (-0.72,6.81) Point Q_1 Q_1 = (1.71,5.72) Point Q_1 Q_1 = (1.71,5.72) Point R_1 R_1 = (1.73,4.27) Point R_1 R_1 = (1.73,4.27) Point M_1 Point M_1: Intersection point of r, a_7 Point M_1 Point M_1: Intersection point of r, a_7 Point N_1 Point N_1: Intersection point of r, a_ {10} Point N_1 Point N_1: Intersection point of r, a_ {10} Point O_1 Point O_1: Intersection point of q, a_4 Point O_1 Point O_1: Intersection point of q, a_4 Point P_1 Point P_1: Point on a_4 Point P_1 Point P_1: Point on a_4 Figure P text1 = “Figure P” Figure Q text1_1 = “Figure Q” Figure R text1_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 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: 410 (2 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: 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

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

» Data Handling

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MCQ▾

Question

In which month did Raman earn thrice the amount of money earned in January?

Choices

Choice (4) Response

a.

February

b.

May

c.

January

d.

March

Question number: 414 (3 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: 415 (4 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: 416 (5 of 5 Based on Passage) Show Passage

» Data Handling

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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