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FMO 2021 - Grade 4 - National - Paper 07

Question 1

Find the figure that replaces the question mark.

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Practice scoring for this whole 16-question paper: 1 point per correct answer, 0 if wrong or blank, maximum 16. These equal weights are editorial because no numerical marks are printed on the individual source paper.
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  2. Question illustration
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Question 2

The numbers in each circle have sum 100. What number belongs in the box marked “?”?

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  1. 20
  2. 25
  3. 30
  4. 35
  5. 40

Question 3

Which figure contains the greatest number of triangles?
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Question 4

Joy practises guitar for half an hour every Tuesday, Thursday and Sunday. Using the July calendar shown, how many minutes does she practise that month?

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July is the month shown. Mon, Tue, Wed, Thu, Fri, Sat, Sun mean Monday through Sunday.
  1. 360
  2. 390
  3. 420
  4. 780
  5. 810

Question 5

Alice stacks identical wooden blocks to form the tower shown. How many blocks does she use?

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  1. 29
  2. 30
  3. 31
  4. 32
  5. 36

Question 6

A teacher folds a square sheet in half twice, then cuts across the folded sheet along the two dotted lines indicated by the scissors. How many pieces does she obtain?

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  1. 4
  2. 5
  3. 9
  4. 12
  5. 16

Question 7

Fermat School has seven clubs, averaging 8 students per club. Anna’s chart has lost the Mathematics-club entry. How many students are in that club?

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The categories are Dancing, Swimming, Math, English, Chess, Singing and Football.
  1. 7
  2. 8
  3. 10
  4. 11
  5. 12

Question 8

A shop has 60 bicycles. On day 1 it sells 1/5 of them; on day 2 it sells 1/4 of those remaining; on day 3 it sells 1/3 of those remaining after day 2. How many bicycles are left?
  1. 12
  2. 24
  3. 48
  4. 36
  5. 47

Question 9

Find the missing number in the cell marked “?”.

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 10

Each day ABC broadcasts either 5 cartoons and 3 music programmes, or 2 cartoons and 6 music programmes. In one week it broadcasts 32 cartoons. How many music programmes are broadcast that week?
  1. 24
  2. 18
  3. 15
  4. 21
  5. 27

Question 11

Lucy glues 14 identical cubes into the shown shape, then paints every exposed surface, including the bottom. How many cubes have exactly three painted faces?

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  1. 4
  2. 5
  3. 6
  4. 7
  5. 8

Question 12

A box contains 6 red, 8 green, 10 blue, 12 yellow and 15 white balls. Suzy draws without looking and wants to be certain of getting nine balls of one colour. What is the least number she must draw?
  1. 9
  2. 10
  3. 25
  4. 39
  5. 41

Question 13

Lucy arranges eight identical rectangular pieces into the large rectangle shown. Its perimeter is 300 cm. Find its area.

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  1. 15 dm²
  2. 75 dm²
  3. 54 dm²
  4. 108 dm²
  5. 150 dm²

Question 14

Annie sells strawberry cakes and orange cakes. The table shows the cakes sold on Saturday, Sunday and Monday, with the weekend revenue. What is Monday’s revenue?

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Day, Cakes, Sale are the column headings. Rows are Saturday, Sunday and Monday. Red-topped cakes are strawberry; orange-topped cakes are orange.
  1. 60 dollars
  2. 50 dollars
  3. 70 dollars
  4. 65 dollars
  5. 75 dollars

Question 15

Following the pattern shown, how many white squares are in figure 5?

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  1. 94
  2. 96
  3. 100
  4. 25
  5. None of the above

Question 16

Anna’s die has 7 dots in total on each pair of opposite faces. After one roll to the right, its top shows 6, as in the final position in the illustration. It then rolls six more times to the right; its top is A. It rolls three further times to the right; its top is B. Find A + B.

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Scoring note: the source labels this question Star of hope. This historical 16-question paper prints no numerical scoring rule. The package uses the same editorial practice value of 1 point as every other question, with no deductions; it does not claim official historical scoring.