Sam has arranged some cupcakes in equal rows on her kitchen table. To work out how to pack them for the party, she places a box over a number of them, as shown. How many are covered by the box?
Gabe has this birthday chart on his classroom wall. It shows how many people in the class were born in each season. The number for Summer has been rubbed off but Gabe knows that more people were born in Summer than in any other season. What is the smallest possible number of people in the class?
| Season | Number |
|---|---:|
| Summer | rubbed off |
| Autumn | 5 |
| Winter | 8 |
| Spring | 7 |
Nullah’s local park has six fountains and many paths, as this map shows. His run through the park always follows the paths that lead forward and he always passes exactly two fountains. How many different ways are there for Nullah to pass exactly two fountains in the park?
In this puzzle, every row and every column must contain the numbers 1, 3 and 5, once each. If I solve the puzzle then multiply the numbers in the two shaded boxes, what is the answer?
Justine has some balls, rods and bricks. Two rods and one brick weigh the same as 10 balls. Four rods and one brick weigh the same as 14 balls. How many balls weigh the same as one brick?
A shop has a special deal where you can buy two different items and get the cheaper item at half price. Roberta bought two of these items, and paid \$16. Which two items did she buy?
A simple jigsaw puzzle has four pieces labelled W, X, Y and Z, shown here face up. When the puzzle is completed, which of the following pieces are not next to each other?
Coco is making a hanging mobile from coathangers. Starting with 1 coathanger in the first layer, she hangs 2 coathangers in the second layer, 1 at each end of the first, as shown. She works along each layer following the same pattern, so that every coathanger has 2 new coathangers hanging from it. Coco stops when she has finished 6 layers. How many coathangers are in her mobile?
Minnie and Max each have a set of 4 cards numbered 1 to 4. Minnie arranges her cards into two 2-digit numbers and adds the 2-digit numbers to get a total. She chooses her numbers to make her total as small as possible. Max does the same, except that his total is as large as possible. What is the difference between Minnie’s total and Max’s total?
Lubna likes oranges and apples, but not bananas. Bhavna likes apples and bananas, but not oranges. Preeti likes oranges and bananas, but not apples. Their father has 6 oranges, 4 apples and 2 bananas and gives each girl 4 pieces of fruit that she likes. What is the smallest number of oranges that he can give to Lubna?