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5.01 Picture puzzles - solving simultaneous equations intuitively

Worksheet
Picture puzzles for simultaneous equations
1

Each symbol in the diagram has a value. The sum of each row is shown on the right:

a

Find the value of one triangle.

b

Find the value of one square.

c

Find the value of one circle.

d

What number should replace the question mark for the total of that column?

2

Each item in the diagram has a price. The total price of each row of items is shown on the right:

Find the price of:

a

One football.

b

One jersey.

c

One pair of boots.

3

Three students in a class bought some new equipment from the school stationery shop. The items they each bought, and the total prices are shown below:

Find the price of:

a

One pencil set.

b

One work book.

c

One calculator.

4

Each item in the diagram has a price. The total price of each row of items is shown on the right:

Find the price of one pair of boots.

5

The combined masses of some animals are shown in the following diagram:

Find the mass of:

a

Two cats, a pig and a rabbit.

b

Two cats.

c

One cat.

d

One rabbit.

e

One pig.

6

The combined masses of some animals are shown in the following diagram:

Find the combined mass of a pig, a rabbit, and a cat.

7

The combined masses of some animals are shown in the following diagram:

a

Find the mass of two pigs plus two cats.

b

Find the difference in mass between a pig and two cats.

c

Find the mass of three pigs.

d

Find the mass of a pig.

8

Scales 1 and 2 are in perfect balance. How many Bs are needed to balance scale 3?

9

Scales 1 and 2 are in perfect balance. What could be used to balance scale 3?

10

Scales 1 and 2 are in perfect balance. Suggest some combinations of A's and/or B's that could be used to balance scale 3.

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