Egyptian STEM Schools Admissions Assessment ยท STEM Mathematics and Reasoning

Logical, Spatial and Cognitive Reasoning

75 practice questions, each with the answer and an explanation.

Practise Logical, Spatial and Cognitive Reasoning now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 75 questions

  1. Find the missing number in the sequence: .
  2. If all Bloops are Razzies, and all Razzies are Lizzies, which statement MUST be logically true?
  3. A clock viewed in a plane mirror shows the time as 3:45. What is the actual time on the clock?
  4. In a code language, if 'PLANET' is written as 'QMBOFU', how is 'ROCKET' written in the same code?
  5. Pointing to a photograph, a woman says: 'His mother is the only daughter of my mother.' How is the woman related to the person in the photograph?
  6. If a standard six-sided die is rolled, what is the probability of obtaining either a prime number or an even number?
  7. Which number completes the analogy: ?
  8. Five friends (A, B, C, D, E) sit in a row. B is to the right of A, C is to the left of A, and E is to the right of B but to the left of D. Who sits in the exact middle?
  9. What is the next term in the alphanumeric sequence: ?
  10. If five machines can manufacture 5 widgets in 5 minutes, how many minutes will it take 100 machines to manufacture 100 widgets?
  11. A cube of wood painted blue on all six faces is cut into 27 identical smaller cubes. How many of the smaller cubes have EXACTLY two faces painted blue?
  12. Which word does NOT belong with the others in the group: {Oxygen, Nitrogen, Argon, Water}?
  13. A person walks 10 meters North, turns right and walks 10 meters, then turns right again and walks 10 meters. In which direction is the person relative to the starting point?
  14. Find the missing letter in the pattern: B, D, G, K, P, __.
  15. If a sheet of paper with four labeled quadrants is folded horizontally in half and then vertically in half, how many paper layers are created?
  16. Statement 1: Some birds can swim. Statement 2: All penguins are birds. Statement 3: All penguins can swim. What can be logically concluded about birds in general?
  17. If , what is the value of ?
  18. A group of 8 people attend a meeting. If each person shakes hands with every other person exactly once, how many total handshakes occur?
  19. Which number comes next in the sequence: ?
  20. If TOM is coded as 48 (since , sum = 48), what is the numerical code for DICK ()?
  21. A snail at the bottom of a 10-meter deep well climbs up 3 meters each day, but slips down 2 meters each night. On which day will the snail reach the top of the well?
  22. If today is Tuesday, what day of the week will it be 100 days from today?
  23. Which shape has rotational symmetry of order 4?
  24. A car travels from Town A to Town B at and returns along the same route at . What is the average speed for the round trip?
  25. In a row of 30 trees, an apple tree is 12th from the left end. What is its position from the right end?
  26. If South-East becomes North, and North-East becomes West, what will West become under this rotation?
  27. What is the sum of the series ?
  28. What is the area of the region bounded by and between and ?
  29. Find all solutions to .
  30. What is the rank of the matrix ?
  31. What is the maximum value of subject to ?
  32. How many triangles can be formed by joining 3 of 15 points, no three of which lie on a line?
  33. Today is Friday. What day of the week will it be in 60 days?
  34. What is the smaller angle between the hands of a clock at 1:00?
  35. A solid cube of side 5 is painted red on all faces and then cut into 125 unit cubes. How many unit cubes have no painted faces?
  36. No mammals are animals, and all cats are mammals. Which conclusion must be true?
  37. In a code, every letter is replaced by the letter 3 places later in the alphabet. How is CAIRO written in this code?
  38. No fruits are foods, and all dates are fruits. Which conclusion must be true?
  39. A solid cube of side 4 is painted red on all faces and then cut into 64 unit cubes. How many unit cubes have two painted faces?
  40. In a code, every letter is replaced by the letter 4 places later in the alphabet. How is CAT written in this code?
  41. In a code, every letter is replaced by the letter 4 places later in the alphabet. How is SAND written in this code?
  42. Today is Sunday. What day of the week will it be in 188 days?
  43. A solid cube of side 6 is painted red on all faces and then cut into 216 unit cubes. How many unit cubes have two painted faces?
  44. The sum of three consecutive integers is 108. What is the largest of them?
  45. Today is Sunday. What day of the week will it be in 62 days?
  46. Ahmed is taller than Omar. Laila is taller than Ahmed. Omar is taller than Youssef. Youssef is taller than Sara. Who is the tallest?
  47. What is the next number in the sequence 1, 4, 9, 16, 25, ...?
  48. What is the units digit of ?
  49. What is the next number in the sequence 1, 3, 6, 10, 15, 21, ...?
  50. Laila is taller than Mona. Omar is taller than Laila. Sara is taller than Omar. Youssef is taller than Ahmed. Ahmed is taller than Sara. Who is the shortest?
  51. All cats are mammals, and all mammals are animals. Which conclusion must be true?
  52. What is the next number in the sequence 16, 25, 36, 49, 64, ...?
  53. What is the next number in the sequence 1, 6, 7, 13, 20, 33, ...?
  54. In a code, every letter is replaced by the letter 1 places later in the alphabet. How is AMMAN written in this code?
  55. In a code, every letter is replaced by the letter 3 places later in the alphabet. How is DESERT written in this code?
  56. Today is Sunday. What day of the week will it be in 128 days?
  57. What is the units digit of ?
  58. How many diagonals does a convex polygon with 8 sides have?
  59. No monuments are structures, and all pyramids are monuments. Which conclusion must be true?
  60. In a code, every letter is replaced by the letter 1 places later in the alphabet. How is NILE written in this code?
  61. How many diagonals does a convex polygon with 14 sides have?
  62. What is the units digit of ?
  63. A solid cube of side 4 is painted red on all faces and then cut into 64 unit cubes. How many unit cubes have no painted faces?
  64. Ahmed is taller than Sara. Omar is taller than Ahmed. Sara is taller than Laila. Who is the shortest?
  65. Today is Sunday. What day of the week will it be in 187 days?
  66. A solid cube of side 6 is painted red on all faces and then cut into 216 unit cubes. How many unit cubes have three painted faces?
  67. Laila is taller than Ahmed. Youssef is taller than Sara. Omar is taller than Youssef. Ahmed is taller than Omar. Who is the tallest?
  68. What is the units digit of ?
  69. Today is Wednesday. What day of the week will it be in 122 days?
  70. A solid cube of side 5 is painted red on all faces and then cut into 125 unit cubes. How many unit cubes have one painted face?
  71. Today is Thursday. What day of the week will it be in 76 days?
  72. How many triangles can be formed by joining 3 of 6 points, no three of which lie on a line?
  73. Today is Saturday. What day of the week will it be in 178 days?
  74. What is the next number in the sequence 1, 8, 27, 64, ...?
  75. How many triangles can be formed by joining 3 of 10 points, no three of which lie on a line?

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