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BLEUUUUU

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BLEUUUUU

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BLEUHHHH

Created by

Beatrix Jackson
Beatrix Jackson
United Kingdom

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BLEUUUUU
 

BLEUUUUUOnline version

BLEUHHHH

by Beatrix Jackson
1

Pablo has 100 identical small cubes. He uses some of them to build the largest possible solid cube. How many of the small cubes are left over? A 16 B 27 C 36 D 73 E 92

2

The diagram shows an equilateral triangle divided into nine smaller equilateral triangles, with two additional lines. What fraction of the large triangle is shaded? A 1/3 B 1/4 C 3/8 D 2/9 E 4/9

3

What is 25 to the power of 2 โˆ’ 24 to the power of 2 โˆ’ 23 to the power of 2 + 22 to the power of 2 ? A 0 B 1 C 2 D 3 E 4

4

Sonia writes down three 2-digit numbers whose sum is 46. The first number is prime, the second is square and the third is even. What is the even number? A 10 B 12 C 14 D 16 E 18

5

The diagram shows three circles with radii 1, 2 and 3. What is the ratio of the shaded area to the area of the largest circle? A 1 : 3 B 1 : 2 Cโˆš2 : โˆš3 D 2 : 3 E 4 : 9

6

For what value of ๐‘ฅ is q(p(โˆš๐‘ฅ + 1) + 1) + 1 = 3? A 4096 B 64 C 8 D 3 E 0

7

What is the 100th term of the sequence 1, 5, 7, 11, 13, 17, 19, 23, . . . whose terms are consecutive odd numbers but with all the multiples of 3 removed? A 201 B 203 C 247 D 299 E 301

8

The diagram shows three arcs of circles of radius 1. ๐‘ƒ is the centre of the circle of which ๐‘…๐‘„ is an arc and ๐‘„ is the centre of the circle of which ๐‘ƒ๐‘… is an arc. What is the area of this shape? Aโˆš3๐œ‹10 B๐œ‹6 C๐œ‹8 Dโˆš34 Eโˆš2๐œ‹9

9

Fifty squares are drawn side by side in a line. The first and last squares are shaded. Other squares in the line must be shaded such that both these rules apply: (a) no two adjacent squares are shaded and (b) there are no more than three consecutive unshaded squares. What is the difference between the smallest and largest number of squares that can be shaded? A 8 B 10 C 11 D 13 E 15

10

How many different squares are factors of 2025? A 2 B 3 C 4 D 5 E 6

 
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