Prezi Prep

Presidential School test questions: samples with solutions

Updated: 7 October 2026

The questions were written by the Prezi Prep team to the year 4 syllabus and the exam format; they are not official exam questions. Solve first, then open the answer.

Numbers and operations

Find the difference between the largest and the smallest four-digit numbers made from the digits 3, 7, 0 and 5 (each digit used once).

  1. A4,473
  2. B4,437
  3. C4,374
  4. D4,743
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Correct answer: A — 4,473

The largest number has the digits in descending order: 7530. The smallest has them ascending, but a number cannot start with 0: 3057. The difference is 7530 − 3057 = 4,473.

Divide 48 by 6, multiply the result by 9, then subtract that number from 100. What do you get?

  1. A28
  2. B38
  3. C18
  4. D72
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Correct answer: A — 28

48 ÷ 6 = 8; 8 × 9 = 72; 100 − 72 = 28. The option 72 is the answer with the last step left out.

Fractions

A class has 32 pupils, and 3/8 of them are girls. How many boys are in the class?

  1. A12
  2. B20
  3. C24
  4. D8
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Correct answer: B — 20

Girls: 32 ÷ 8 × 3 = 12. Boys: 32 − 12 = 20. The question asked for boys, not girls; 12 is the trap.

Equation

Find x in the equation x × 4 − 18 = 30.

  1. A3
  2. B12
  3. C48
  4. D6
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Correct answer: B — 12

First undo the subtraction: x × 4 = 30 + 18 = 48. Then x = 48 ÷ 4 = 12. Check: 12 × 4 − 18 = 48 − 18 = 30.

Geometry

A rectangle has a perimeter of 36 cm and its length is twice its width. Find its area.

  1. A72 cm²
  2. B36 cm²
  3. C108 cm²
  4. D54 cm²
Show the answer

Correct answer: A — 72 cm²

If the width is a, the length is 2a; the perimeter 2 × (a + 2a) = 6a = 36, so a = 6 cm and the length is 12 cm. The area is 6 × 12 = 72 cm².

What is the total length of all the edges of a cube with edge 3 cm?

  1. A27 cm
  2. B36 cm
  3. C54 cm
  4. D12 cm
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Correct answer: B — 36 cm

A cube has 12 equal edges: 12 × 3 = 36 cm. 27 is the volume (cm³) and 54 the surface area (cm²): neither answers this question.

Word problem

A train travelled 180 km in 3 hours. How far will it travel in 5 hours at the same speed?

  1. A300 km
  2. B240 km
  3. C360 km
  4. D270 km
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Correct answer: A — 300 km

The speed is 180 ÷ 3 = 60 km/h. In 5 hours: 60 × 5 = 300 km. 240 is for 4 hours, 360 for 6.

Logic

Five children stand in a row. Ali is first and Vali is last. Said stands next to Ali and Lola next to Vali. In which position is the fifth child, Karim?

  1. A2nd
  2. B3rd
  3. C4th
  4. DCannot be determined
Show the answer

Correct answer: B — 3rd

1 is Ali, 5 is Vali. Said next to Ali is 2nd; Lola next to Vali is 4th. The only free place is 3rd, and that is Karim.

What next?

Six or more right out of eight means it is time for mock exams. Fewer, and start with the topic the mistake came from: the topic list is on that page. Prezi Prep has over 800 questions like these, each explained, and a topic test every day on the free plan.

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