1.
Part A: Each correct answer is worth 3 points
Lea has 10 rubber stamps. Each stamp has one of the digits:0, 1, 2, 3, 4, 5, 6, 7, 8, 9.She prints the date of St. Patrick’s Day 2018:
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How many different stamps does she use?
2.
The picture shows three flying arrows and nine fixedballoons. When an arrow hits a balloon, it bursts, and the arrow flies further in the same direction.How many balloons will be hit by the arrows?
3.
Susan is six years old. Her sister is one year younger, and her brother is one year older. What is the sum of the ages of the three siblings?
6.
A table is set for 8 people.
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How many settings have the fork to the left of the plate and the knife to the right of the plate?
7.
Emily added two 2-digit numbers correctly on paper. Then she painted out two cells,as shown below.
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What is the sum of two digits in the painted cells?
8.
First, Diana scores 12 points in total with three arrows. On her second turn she scores 15 points.
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How many points does she score on her third turn?
9.
Part B: Each correct answer is worth 4 points
How many different numbers greater than 12 and smaller than 58 with distinct digits can we make by using any two of the digits 0, 1, 2, 5, and 8?
10.
Roberto makes designs using tiles like this
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.
How many of the following five designs can he make?
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12.
Toby glues 10 cubes together to make the structure shown.He paints the whole structure, even the bottom.How many cubes are painted on exactly four of their faces?
14.
Tom cuts two types of pieces out of grid paper.
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What is the smallest number of pieces identical to the ones shown that Tom needs to build the boat in the picture?
15.
The rooms in Kanga's house are numbered. Baby Roo enters the main door, passes through some rooms and leaves thehouse. The numbers of the rooms that he visits are always increasing. Through which door does he leave the house?
16.
Peta rabbit had 20 carrots. She ate two carrots every day. She ate the twelfth carrot on Wednesday. On which day did she start eating the carrots?
17.
Part C: Each correct answer is worth 5 points
The belt shown in the drawing can be fastened in five ways.
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How much longer is the belt fastened in one hole than the belt fastened in all five holes?
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20.
The large rectangle is made up of squares of varied sizes. The three smallest squares each have an area of 1, as shown.
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What is the area of the largest square?
21.
Five ducklings walk behind the mother duck in a row from the oldest to the youngest like this: Dina and Becca walk right one after the other, Mingo walks behind Lisa but in front of Becca, Becca walks directly in front of Pip. What is the name of theyoungest duckling?
22.
Four balls each weigh 10, 20, 30 and 40 grams. Which ball weighs 30 grams?
23.
Lois wants to write the numbers from 1 to 7 in the grid shown.Two consecutive numbers cannot be written in two neighbouringcells. Neighbouring cells meet at the edge or at a corner. What numbers can she write in the cell marked with a question mark?
24.
Thedistance from Anna's to Mary's house is 16 kilometers along the shown road.The distance from Mary's to Nick's house is 20 kilometers.The distance from Nick's to John's house is 19 kilometers.
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How far is Anna's house from John's?