Term 1

Week 3 Whole Number

Rearrange me

The digits 7, 5, and 9 are written on cards as shown.

Six different 3-digit numbers can be made using these cards. If these numbers are arranged from the smallest to the largest, in which position is 795?

(A) second (B) third (C) fourth (D) fifth (E) sixth

Week 4

Two hands (Time)

How many times do the two hands of a clock point in the same direction between 6:00 am and 6:00 pm of a single day?

Week 5- length

How far?  

Lucy goes to gymnastics every week. She is very good at gymnastics and once won a gold medal. Her gymnastics club is 3.5km from her house, in a tree-lined street. In a year she goes to gymnastics 16 times. How many kilometers does she travel in a year?

Week 6

Soft Drink (Addition)

Nicole was having a party and bought some soft drink for her friends. At the supermarket, cola was 90c each and lemonade was on special at 60c. Nicole spent a total of exactly $10.20 on the drinks. How many cans of each drink did she buy?

Hint: She bought at least five cans of cola.

Week 7

Barry the Builder (Subtraction)

Barry the builder built a wall 48 meters high. Next to that wall, he built another wall half as high. The third wall was half as high as the second wall and the fourth was half as high as the third wall. Barry continued in this fashion and built a total of six walls.

How tall was the sixth wall?

Week 8

Giftbox (Multiplication)

Sam bought a necklace for his girlfriend. He noticed that the box it came in was a cube, so he measured the sides of it and found that they were 4cm long.

He then drew the top of the box on graph paper to find its area, which was 16 square centimeters.

Sam told his girlfriend that he only shape that could have an area of 16 square centimeters was a square like the top of the necklace box. His girlfriend told him he was silly and showed him that there were other shapes as well.

Draw some other shapes that have an area of 16 square centimeters.

Week 9

Speedboats on the River (Multiplication)

Jeremy and Patrick are in their speedboat on the river. Markers are placed three kilometres apart on the stretch of water they are in. They started at the first marker and have now passed twelve markers.

Exactly how far have the travelled?

If Fred and Oliver started at the third marker, how far would they have travelled?

Week 10

Lollies (Fractions)

William bought a box of colored lollies and spread them out on the table in front of him.

He noticed that of all the lollies was red and of all the lollies was yellow. The rest of the lollies were made up of other colors.

He also noticed that the number of lollies in the box was always able to be divided by both 3 and 2.

How many lollies could there have been in the box, and how many would have been red, yellow and other colors. One example is given.