Arrangement Reasoning Mixed Worksheet
How to think it through (Draw it): Name the type of question first. Draw it: a row of boxes, a compass, a family tree or a clock face. Use the formula from that lesson and check the answer against every clue.
NameDateTime takenScore ___ / 40
- 1.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
- 2.In a class, Nisha ranks 18th from the top and 17th from the bottom. How many students are in the class?
- 3.Is 2029 a leap year? (a) Yes (b) No
- 4.Saanvi is heavier than Rahul. Rahul is heavier than Isha. Who is the lightest? (a) Rahul (b) Saanvi (c) Isha
- 5.Rohan is a boy. How is Rohan’s father’s sister’s husband related to Rohan? (a) grandfather (b) uncle (c) father (d) brother-in-law
- 6.Which capital letter does NOT look the same in a mirror? (a) M (b) W (c) L (d) H
- 7.A clock shows 10:00. What time does it show in a mirror? (a) 1:00 (b) 10:00 (c) 3:00 (d) 2:00
- 8.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have exactly one painted face?
- 9.In a class, Aarav ranks 3rd from the top and 17th from the bottom. How many students are in the class?
- 10.Which capital letter looks exactly the same in a mirror? (a) Q (b) V (c) P (d) B
- 11.Riya is heavier than Meera. Karan is heavier than Riya. Who is the lightest? (a) Karan (b) Riya (c) Meera
- 12.Isha is 9th from the left and 16th from the right in a row of children. How many children are in the row?
- 13.A clock shows 9:44. What time will it show 15 minutes later? (a) 10:09 (b) 9:49 (c) 10:59 (d) 9:59
- 14.Yash is facing East. He turns left, then turns right, then turns right, then turns around (a half turn). Which direction is he facing now? (a) North (b) East (c) South (d) West
- 15.Tara is older than Isha. Karan is older than Tara. Who is the oldest? (a) Karan (b) Tara (c) Isha
- 16.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 17.Three friends (Kabir, Karan and Siddharth) sit in a row. Left and right are as you look at them. Kabir sits just to the right of Siddharth. Karan sits at the right end. Who sits in the middle? (a) Siddharth (b) Kabir (c) Karan
- 18.Yash walks 3 km South, then turns right and walks 4 km. How far is he from the starting point now, in a straight line (in km)?
- 19.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 20.A wooden cube is painted on all six faces, then each edge is cut into 4 equal parts, making small cubes. How many small cubes have at least one painted face?
- 21.Pooja is a girl. How is Pooja’s mother’s mother related to Pooja? (a) sister (b) mother (c) aunt (d) grandmother
- 22.Siddharth runs slower than Diya. Farhan runs faster than Kabir. Siddharth runs faster than Farhan. Who runs the slowest? (a) Diya (b) Siddharth (c) Farhan (d) Kabir
- 23.Which capital letter looks exactly the same in a mirror? (a) D (b) P (c) T (d) Q
- 24.Four friends (Farhan, Kavya, Meera and Zoya) sit in a row. Left and right are as you look at them. Meera sits next to both Kavya and Farhan. Zoya sits somewhere to the left of Meera. Kavya sits next to both Zoya and Meera. Who sits just to the left of Kavya? (a) Kavya (b) Meera (c) Farhan (d) Zoya
- 25.23 September is a Thursday. What day of the week is 23 October of the same year? (a) Monday (b) Friday (c) Sunday (d) Saturday
- 26.In a row of 23 children, Riya is 18th from the left. What is Riya’s position from the right?
- 27.Four friends (Ananya, Ishaan, Meera and Pooja) sit in a row. Left and right are as you look at them. Ananya sits somewhere to the left of Pooja. Ishaan does not sit at either end. Ishaan sits just to the right of Ananya. Ishaan sits next to both Ananya and Pooja. Meera sits at the left end. Who sits just to the right of Ishaan? (a) Ishaan (b) Pooja (c) Meera (d) Ananya
- 28.Aarav is 20th from the left and 11th from the right in a row of children. How many children are in the row?
- 29.A clock shows 4:39. What time does it show in a mirror? (a) 6:21 (b) 7:21 (c) 8:21 (d) 8:39
- 30.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 31.7 October is a Monday. What day of the week is 7 November of the same year? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
- 32.Four friends (Karan, Neel, Vivaan and Zoya) sit in a row. Left and right are as you look at them. Neel does not sit at either end. Zoya does not sit at either end. Karan sits somewhere to the left of Vivaan. Zoya sits just to the right of Neel. Who sits just to the right of Zoya? (a) Zoya (b) Vivaan (c) Karan (d) Neel
- 33.In a row of 23 children, Aarav is 22nd from the left. What is Aarav’s position from the right?
- 34.In a class, Aditya ranks 5th from the top and 5th from the bottom. How many students are in the class?
- 35.Is 1800 a leap year? (a) Yes (b) No
- 36.Meera is taller than Manav. Karan is shorter than Neel. Neel is shorter than Manav. Who is the second shortest? (a) Meera (b) Karan (c) Manav (d) Neel
- 37.Manav runs faster than Arjun. Karan runs slower than Kabir. Kabir runs slower than Arjun. Who runs the second slowest? (a) Karan (b) Manav (c) Kabir (d) Arjun
- 38.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 39.A clock shows 3:56. What time will it show 99 minutes later? (a) 5:25 (b) 6:35 (c) 5:45 (d) 5:35
- 40.Farhan walks 3 km South, then turns right and walks 4 km. How far is he from the starting point now, in a straight line (in km)?
Answer key
- 1
- 34
- No
- Isha
- uncle
- L
- 2:00
- 6
- 19
- V
- Meera
- 24
- 9:59
- North
- Karan
- 154.5
- Kabir
- 5
- 46
- 56
- grandmother
- Kabir
- T
- Zoya
- Saturday
- 6
- Pooja
- 30
- 7:21
- 106.5
- Thursday
- Vivaan
- 2
- 9
- No
- Neel
- Kabir
- 7.5
- 5:35
- 5
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