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 each edge is cut into 4 equal parts, making small cubes. How many small cubes have exactly three painted faces?
- 2.On a standard dice, opposite faces add up to 7. The dice shows 5 on top. What number is on the bottom face?
- 3.A wooden cube is painted on all six faces, then cut into 27 equal small cubes. How many small cubes have no painted face?
- 4.Rohan walks 5 m North, then turns right and walks 7 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
- 5.Two standard dice show 6 and 4 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
- 6.Priya is facing West. She turns around (a half turn), then turns right. Which direction is she facing now? (a) North (b) East (c) South (d) West
- 7.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 8.In a class, Kavya ranks 5th from the top and 7th from the bottom. How many students are in the class?
- 9.Which capital letter looks exactly the same in a mirror? (a) D (b) Y (c) C (d) Z
- 10.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
- 11.In a class, Saanvi ranks 16th from the top and 20th from the bottom. How many students are in the class?
- 12.In a class, Pooja ranks 15th from the top and 7th from the bottom. How many students are in the class?
- 13.1 January 2005 is a Saturday. What day of the week is 18 April 2005? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
- 14.In a class, Ananya ranks 17th from the top and 11th from the bottom. How many students are in the class?
- 15.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
- 16.Aarav is heavier than Tara. Aarav is lighter than Kabir. Who is the lightest? (a) Aarav (b) Tara (c) Kabir
- 17.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have at least one painted face?
- 18.Kabir is 13th from the left and 10th from the right in a row of children. How many children are in the row?
- 19.Karan is heavier than Rohan. Rohan is heavier than Isha. Who is the heaviest? (a) Karan (b) Isha (c) Rohan
- 20.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 21.On a standard dice, opposite faces add up to 7. The dice shows 2 on top. What number is on the bottom face?
- 22.Rohan walks 11 m South, then turns around and walks 6 m. How far is he from the starting point now (in m)?
- 23.Is 2004 a leap year? (a) Yes (b) No
- 24.Saanvi is a girl. How is Saanvi’s mother’s brother related to Saanvi? (a) cousin (b) grandfather (c) brother (d) uncle
- 25.Which capital letter does NOT look the same in a mirror? (a) O (b) M (c) S (d) X
- 26.Four friends (Meera, Omkar, Riya and Rohan) sit in a row. Left and right are as you look at them. Omkar sits at the right end. Rohan sits just to the right of Meera. Riya does not sit at either end. Who sits at the left end? (a) Rohan (b) Riya (c) Omkar (d) Meera
- 27.In a class, Aisha ranks 17th from the top and 18th from the bottom. How many students are in the class?
- 28.On a standard dice, opposite faces add up to 7. The dice shows 3 on top. What number is on the bottom face?
- 29.Which capital letter looks exactly the same in a mirror? (a) S (b) B (c) Q (d) H
- 30.Is 2006 a leap year? (a) Yes (b) No
- 31.Sneha is a girl. How is Sneha’s mother’s brother related to Sneha? (a) uncle (b) grandfather (c) cousin (d) brother
- 32.In a class, Rohan ranks 19th from the top and 6th from the bottom. How many students are in the class?
- 33.Ishaan is older than Manav. Ishaan is younger than Aditya. Who is the oldest? (a) Manav (b) Aditya (c) Ishaan
- 34.Rohan is 3rd from the left and 15th from the right in a row of children. How many children are in the row?
- 35.Nisha runs faster than Meera. Dev runs slower than Meera. Who runs the second slowest? (a) Meera (b) Nisha (c) Dev
- 36.Which capital letter does NOT look the same in a mirror? (a) O (b) Z (c) W (d) T
- 37.Kabir is older than Rohan. Rohan is older than Nisha. Diya is older than Kabir. Who is the second youngest? (a) Diya (b) Rohan (c) Nisha (d) Kabir
- 38.Vivaan is facing West. He turns right, then turns right, then turns right. Which direction is he facing now? (a) North (b) East (c) South (d) West
- 39.Kavya is a girl. How is Kavya’s father’s sister related to Kavya? (a) aunt (b) sister (c) cousin (d) mother
- 40.Rohan is heavier than Ananya. Siddharth is heavier than Rohan. Who is the second heaviest? (a) Ananya (b) Siddharth (c) Rohan
Answer key
- 8
- 2
- 1
- North-East
- 4
- South
- 39.5
- 11
- Y
- 43
- 35
- 21
- Monday
- 27
- 73
- Tara
- 152
- 22
- Karan
- 22
- 5
- 5
- Yes
- uncle
- S
- Meera
- 34
- 4
- H
- No
- uncle
- 24
- Aditya
- 17
- Meera
- Z
- Rohan
- South
- aunt
- Rohan
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