Adam, Barney and Joe carry 999 books out of the library. Adam works for 3 hours, Barney works for 4 hours and Joe works for 5 hours. They work at different speeds, with Adam carring 5 books for every 3 books Barney carries and every 2 books Joe carries. How many books did Adam carry ?

In how many ways can three different numbers be selected from the numbers 1 to 12, so that their sum can be exactly divided by 3 ?

Dried dog food is available in three sizes: 1 kg bags, which cost 6 dollars; 3 kg bags, which cost 15 dollars; and 8 kg bags, which cost 25 dollars. What is the smallest number of bags you can buy such that the average price per kilogram is exactly 4 dollars ?

A  number is formed by writing the numbers 1 to 30 in order as shown

12345678910111213….2930

Simeon removed 45 of these 51 digits leaving 6 in their original order to make the largest 6-digit number possible. What is the sum of the digits of this number ?

On a special cubic dice the numbers 1, 2, 3, 4, 5 and 6 are on the faces: 1 is on the face opposite 2, 3 is on the face opposite 4, and 5 is in the face opposite 6

Each vertex is given a vertex number, which is the sum of the numbers on the three faces that form the vertex If I subtract the smallest vertex number from the largest vertex number, what number will I get ?

Eight 1 x 1 square tiles are laid to form a shape as shown

Two more 1 x 1 tiles are added, so that at least one side of each new tile is shared with a side of the original shape Several different perimeter lengths are now possible. What is the sum of the shortest and longest possible perimeters of the modified shape ?

Karen’s class and Jacqui’s class are sharing some apples donated by a local farmer and everyone in each classroom will have 6 apples. If Karen’s class shared all the apples, each student would have 10 apples. If Jacqui’s class shared all the apples, how many apples would each student in the class have ?

There is a shaded square inside a rectangle as shown. From A to B is 6 cm and from C to D is 8 cm. What is the perimeter of the large rectangle ?

Jake and Joe wanted to buy the same magazine. Jake needed 2.80 dollars more to buy it, while Joe needed 2.60 dollars more. So they put their money together and bought the magazine. They had 2.60 dollars left. How much was the magazine ?

Aditya’s dad is one year older than his mum and next year the product of his parents’ ages will be over 1000 for the first time. What is the product of their ages now ?

A school builds a raised vegetable patch in its garden by joining four panels to form an open-ended prism and filling it with soil. Each of the thin plastic panels has sides of length 40 cm and 80 cm. Jessie wants to stand the panels on their long side and Tom wants to stand them on their short side as shown.

Which statement is true ?

Each of the faces of 2 discs has a different whole number on it. The numbers on two of the faces are shown

If the discs are tossed, the possible sums of the numbers showing are 10, 11, 12 and 13. What is the product of the two numbers that are on the other side of these two discs ?

A ten sided dice ( numbers 0 – 9 ) and a six sided dice ( numbers 1-6 ) are thrown at the same time. What is the chance of displaying a total of 6 ?

Two identical equilateral triangles, each with an area equal to 36 cm², are placed one on top of the other so that the overlap forms a regular hexegon

What is the area of the hexagon ?

A muffin recipe which makes 12 muffins requires $\frac{2}{3}$ of a cup of milk. How many muffins can be made using 18 cups of milk ?

A bus leaves a bus stop at 10:35 am and then stops at 4 other bs stops. If neighbouring stops are 10 minutes apart and the bus remains at each stop for 3 minutes, at what time does the bus arrive at the last stop ?

In the square shown, the length of the diagonal is 8 cm. What is the area of the square ?

In the number sentence below, three of the digits are missing, as shown by the boxes. If the number sentence is correct, what is the sum of the three mising digits ?

Each triangle in the diagram is equilateral. What fraction of the largest triangle is shaded ?

On the number line, where should the fraction $\frac{1}{3}$ be placed ?

Jan doubles a number then adds two. Then she halves that number and subtracts two Her final answer is six. What was her original number ?

How many triangles are in the following picture ?

At the supermarket, a regular packet of chips is 75 g. A packet of chips on special is advertised at one-third extra. How many grams does the special packet have ?

What is the difference between the largest and smallest 5-digit numbers which can be made from rearranging the 5 digit cards below ?

Alice has two 50c coins, three 20c coins and eight 5c coins. David has four 20c coins and six 10c coins. How much more money does Alice have than David ?