Question 1a. Fill in the missing numbers to make the equations correct.

(a) 144 ÷ = 0.5 × 18

Question 1b. Fill in the missing numbers to make the equations correct.

1324 – = 44 ÷ ⅖

Question 1c. Fill in the missing numbers to make the equations correct.

516 – (32 – 16) × ¼ = 128 ×

Question 1d. Fill in the missing numbers to make the equations correct.

15 + 42 ÷ 2 = 132 – (72 + )

Question 1e. Fill in the missing numbers to make the equations correct.

(⅓)² × 9 ÷ ⅙ =

Question 2.

A pond has many ducks swimming in it at 09:00.
At 09:10, 2 ducks swim away.
At 09:20, 4 ducks swim away.
At 09:30, 6 ducks swim away.
This pattern continues as more ducks swim away - 2 more every time tan the last 10min batch. 

(a) At what time do 10 ducks swim away?

(b) By 11:00, how many ducks in total have swum away?

(c) If the initial number of ducks was 100, at what time will all the ducks have left the pond?

Question 3a.

251, 168, 374, 521, 676, 432

Each of these six numbers can be used once to answer the questions below:

a. Which of these numbers is a multiple of 9?     (1)

b. Which of these numbers is between 6³ and 17²?    (1)

c. Which of these numbers has exactly three unique prime factors?  (2)

d. Which of these numbers is a square number?  (2)

e. Which of these numbers, when reversed, gives a multiple of 5?  (2)

f. Which number, when added to its reverse, gives a multiple of 29?   (2)

Question 4: In the following multiplication question, letters A, B and C stand for unique single digit numbers: 

Find the values of A,B and C

Q4a. A = (2)

Q4b. B = (1)

Q4c. C = (1)

Q4d. Calculate (C² + B) ÷A = (2)

Question 5: A baker is arranging cupcakes in a display case. He has six flavors: chocolate, vanilla, strawberry, lemon, raspberry, and caramel. He wants to arrange them in a single row. He must have either chocolate or vanilla at the beginning of the row, but he doesn't want chocolate and vanilla cupcakes next to each other.

How many different arrangements can the baker create?

Ans:

Question 6:

Ans: %

Question 7a: What percentage of this diagram is shaded?

Ans: %

Question 7b: How many more boxes should be shaded to make the shaded area 80%?

Ans:

Question 8: Find a number between 20 and 30 that is three times the sum of its digits.

Ans:

Question 9:

A pizza is shared as follows:

• Amy eats 1/4​ of the pizza.
• Ben eats 1/3​ of the remaining pizza.
• Clara eats 1/2​ of what is left.

What percentage of the pizza is left?

Ans: %

Question 10: A survey was conducted with 240 students. Look at the pie chart and fill in the blanks in the table below.      (5)

10a. How many students like fiction?

10b. How many students like mystery?

10c. How many students like science fiction?

10d. How many students like biography?

10e. How many students like fantasy?