4. Write the following in order of size **(smallest first)**:

4.321, 4.32, 4.132, 4.3, 4.123

Answer:

END OF SECTION A. NOW GO BACK AND CHECK YOUR ANSWERS.

2. There are twenty gifts stacked up into four piles. The first pile has 3 less than the second pile. The second pile has two more than the third pile. The fourth pile has twice as many as the second pile.

How many gifts are in each pile?

3.b) Using as many alphas as you can, and then betas, then gammas, how would you pay for something that costs 789 Gammas?

**END OF SECTION B.**

**NOW GO BACK AND CHECK YOUR ANSWERS**

c. Using your answers from parts a. and b. find three numbers A,B and C such that

A − B = C

and

A² − B² = C³

Answer: A = ———— B = ———— C = ————

f. Explain why x ϕ y is not the same as y ϕ x.

5. Tilly decides to count using a clock.

She starts counting from 1 in the normal way, so:

1, 2, 3, 4......

But when she gets to 12, the count goes back to 1, so she counts:

...8, 9, 10, 11, 12, 1, 2, 3...

So, for example, using this method of counting, 4 + 9 = 1 and 10 + 5 = 3. Similarly, 3×5=3 and 2×13=2.

a. Using this counting method, complete the following:

i. 3 + 4 =
ii. 7 + 8 =

iii. 9 + 11 =

iv. 7 × 8 =

v. 9 × 11 =

b. Using this counting method, can you find two different positive numbers n and m such that n² = m²

c. Using this method, can you find two different numbers p and q such that p³ =q³?

**END OF SECTION C.**

**NOW GO BACK AND CHECK YOUR ANSWERS**