Homework for Kai

1. Find the value of 𝑚 in: 1 + 2 + 3 + 4 + ⋯ + 𝑚 = 253

• A. 20

• B.21

• C.22

• D.23

• E.24

Answer explanation

2. 2. Shawn and Matthew have 76 books altogether. The number of books Shawn has is 3 times the number of books of Matthew has.

3. How many books does Shawn have?

• A. 19

• B. 27

• C. 47

• D. 57

• E. None of the above

3. 3. Find, in 𝑚2, the area of the shaded region.

• A. 17

• B. 19

• C. 35

• D. 54

• E. None of the above

4. Evaluate: 100 − 99 + 98 − 97 + 96 − 95 + ⋯ + 4 − 3 + 2 − 1

• A. 48

• B. 49

• C. 50

• D. 99

• E. 100

5. A new operation is defined as: 𝑚 ※ 𝑛 = (𝑚 + 𝑛) ÷ 2

Find the value of 3 ※ (6 ※ 8)

• A. 3

• B. 4

• C. 5

• D. 6

• E. 7

6. 6. A whole number 𝑛 is multiplied by 6.

7. 6 is then added to this product, after which the sum is divided by 6. Finally, 6 is subtracted

8. from the quotient, which still gives a value of 6. Find the value of 𝑛.

• A. 10

• B. 11

• C. 12

• D. 13

• E. 14

7. 7. Some teenagers are being questioned by the traffic police.

8. Adrian: I have a driving license.

9. Ben: I do not know how to drive.

10. Chris: Ben does not know how to drive.

11. Given that only one person is telling the truth, which of the following conclusions can we make?

• A. Both Adrian and Ben can

  drive

• B. Both Ben and Chris can

  drive

• C. Only Adrian can drive

• D. Ben cannot drive

• E. Chris cannot drive

8. 8. There are 19 chickens, ducks and goats on a farm. The farmer counted 56 animal legs altogether.

9. How many goats are there?

• A. 10

• B. 9

• C. 8

• D. 7

• E. 6

9. 9. The teacher wanted to distribute 100 apples as fairly as possible to the children at a nursery. At least one of the children received 3 apples. What could be the maximum number of children at the nursery?

• A. 36

• B. 47

• C. 49

• D. 51

• E. 53

10. 10. Find the number of ways for an insect to climb from Point 𝐴 to Point 𝐶 , by passing through Point 𝐵.

• A. 8

• B. 9

• C. 10

• D. 11

• E. 12