1. 1.6%
2. 30
3. 0.16 (Two fifths squared is four twenty fifths or 16 hundredths)
4. c
5. 324
6. Sam has 21 balls and Fred has 15 balls.
If Sam would give Fred 3 balls, they would have an equal number (i.e., 18 balls each).
If Fred would give Sam 3 balls, then Sam would have 24 balls and Fred would have 12 balls.
7. b
8. $128
9. a
10. 579 pages
1. 72
2. a. 7
b. Scores of 10 and 11 are equally likely
c. 4 and 24
3. 26. (a quick way of approaching this if you know that 676 is a perfect square is to realise that its square root must lie between 20 (20 X 20 = 400) and 30 (30 X 30 = 900). Then, since 676 ends in 6 the only candidates are 24 X 24 and 26 X 26. However, if the answer was 24, then 676 would have 3 as one of its factors; its digits must add up to some multiple of 3. But 6 + 7 + 6 =13. That rules out 24; the answer must be 26)
4. 6, if he saves and reuses the butts from his own newly rolled cigarettes.
5. 3 cats
6. Two. (83 and 89)
7. a. 15 triangles; b. 9 triangles
8. 62 photos
9. a. Yes b. Yes c. Yes (as the gap is 1.6 m some men might have to crouch a bit)
10. The ring road is about 10% quicker
1. 4 animals (1 pig , 1 dog, 1 cat, 1 cow)
2. a. 1 in 9
3. 177, 174 and 171
4. 21 rectangles
5. Three melons
6. Dale
7. a. (left) Sally; b. (Middle) Sue; c. (Right) Sarah
8. a. 69 birds b. 184 birds
9. Arrangement C
10. The child with the black hair is the girl, and the child with the white hair is the boy.
Since at least one of them lied, the only possibility is that they both lied, otherwise they would be two boys or two girls.