Logic (8 May)

Average

100

The average of 7, 3, 10, 5, 8, and 9

What is 7?

200

The fourth number if the average of four numbers is 120, and the other three are 24, 14, and 49

What is 33?

300

The overall average if the 3 youngest each ate 1 banger and the 9 oldest each ate 2 bangers

What is

1 3/4 ban...rs?

400

The overall average price if the average price of the first 4 was R40 and the average price of the next 6 was R80.

What is R64?

500

The overall average weight if the 3 largest averaged 36 kg and the other 5 averaged 30 kg?

What is 31.25 kg?

Simplify

100

4 + 10 ÷ 2 - 3

What is 6?

200

15 - 2(3*2) + 8

What is 11?

300

5+12÷2+3*4-2

What is 39?

400

2[3(6-3)(4-2)+2]

What is 40?

500

55-3[(4-1)(10-6)+2]

What is 13?

Mixed Numbers

100

4 1/4x8/9

What is

34/9?

200

1 2/3 ÷ 5/6

What is 2?

300

4 2/3*1 4/7

What is

11/3?

400

3 1/4 ÷ 2 1/5

What is

65/44?

500

2 1/4 * 1 1/2 * 3 1/3

What is

45/4?

Powers

100

3²

What is 9?

200

2⁴

What is 16?

300

4³

What is 64?

400

7³

What is 343?

500

5⁴

What is 625?

Roots

100

sqrt(36)

What is 6?

200

root(5)(1)

What is 1? :)

300

root(4)(81)

What is 3?

400

sqrt(169)

What is 13?

500

root(3)(729)

What is 9?

Miscellany

100

x+1/8=3/4

What is

5/8?

200

the value of xy + x if x = 3 and y= 5

What is 18?

300

8 2/7 - 5 1/3

What is

2 20/21?

400

5/7x=5/9

What is

x=7/9?

500

The LCM of 14, 26, and 65

What is 910?