Math Is Fun Forum

Basic Transformations

You'll find some pretty easy problems based on a co-ordinates grid here. Again, they are not too challenging - These are just to get your brain in gear for your exams.

1. Which triangle is a translation of triangle ABC?
2. Which triangle is the image of triangle ABC after a reflection in the x-axis?
3. Which triangle is an enlargement of triangle ABC?
4. What is the scale factor of the enlargement?
5. Rotate triangle ABC ¼ turn clockwise around the origin. Label the new triangle A'B'C'. What are the co-ordinates for point 'C'?
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Basic Polygons

You'll find some very easy questions in here. Of course, most of them are never going to be too hard. Have fun!

1. Write down the name of a regular triangle.
2. What is the sum of the interior angles of a hexagon?
3. How many sides does a regular pentagon have?
4. Calculate the interior angle of a regular pentagon.
5. Calculate the exterior angle of a regular pentagon.
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Measure Exercises

Some of these questions are based on some of the measurements you will probably use and see everyday. The measurements used in the first ten questions are mm, cm, m, km, g, mg, cl, l, gallons, ft, miles, pints.

1. Which units would you use to describe the length of a hockey pitch - mm, cm, m, or km?
2. Which units would you use to describe the distance from Glasgow to London - mm, cm, m, or km?

In questions 3-8, convert the quantities to the given units.

3. 58km = ?m
4. 2400mg = ?g
5. 168cl = ?l
6. 25 gallons = ?l
7. 122cm = ?ft.
8. 40km = ?miles
9. The width of one cassette case is 17mm. How many cassettes will fit on a shelf of length 34cm?
10. Allens Kwikshop offers 2 litres of milk for 89p. Baker's Latestore offers 4 pints of milk for 89p. Which shop offers the best price?
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Basic Negative Number Excercises

You'll find some numbers below zero here - Negative numbers. None of them are too hard.

1. 40 metres below sea level = ?m
2. A temperature of 8 degrees below zero =
3. At 9pm, the temperature was 2°C. By midnight, the temperature had dropped to -5°C. By how many degrees had the temperature fallen?
4. The temperature at midnight was -3°C. By 8am, the temperature had risen by 6°C. What was the temperature at 8am?
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Algiers    = 16°C
Barcelona = 17°C
Berlin = 8°C
London = 5°C
Moscow = -9°C
New York = 7°C
Oslo = -5°C
Paris = 12°C
Rome = 15°C
Sydney = 23°C
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[b]5. What was the difference in temperature between Barcelona and Berlin?
6. How much higher was the temperature in Rome than the temperature in Oslo?
7. 5 + (-7) =
8. 17 - (-8) =
9. (-6) x (-3) =
10. 50 ÷ (-10) =
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10) Ratio and Proportion Excercises

A few, easy ratio and proportion-type problems here. None of them are too tricky.

1. If three apples cost 45p, how much would five apples cost?
2. Steven buys 7 similar books for a total of £8.40. How much would he pay for just 3 books?
3. Simplify the ratio 45:20.
4. Sam is 16 years old. His sister is 24 years old. What is the ratio of Sam's age to his sister's age? Give your answer in its simplest form.
5. A map scale is 1:20000. A distance on the map is measured to be 5.6cm. What is the actual distance in real life? Give your answer in metres.
6. A recipe for vegetable curry needs 300 grams of rice, and it feeds 4 people. How much rice would be needed for 7 people?
7. £60 is to be divided between Brian and Kate in the ratio 2 : 3. How much does Kate get?

Questions 8 - 10 refer to a necklace of which you can see 2 white beads, three black beads next to those, 2 white beads next to the black beads and 3 black beads next to the 2 white beads.

8. What is the ratio of white beads to black beads, in its simplest form?
9. How many white beads would be needed to go with 24 black beads?
10. The necklace uses 75 beads altogether. How many of these are black beads?
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Basic Sequences Exercises

Some basic sequences exercises here. Again, most of them are easy, but this is just for practice and fun.

1. Find the next two numbers in the sequence 12, 15, 18, _, _
2. Find the next two numbers in the sequence 14, 12, 10, _, _
3. Find the next two numbers in the sequence 8, 5, 2, _, _
4. Find the nth term of the sequence 5, 7, 9, 11,
5. Find the nth term of the sequence -2, 2, 6, 10,
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Basic Fractions Exercises

These exercises should be quite easy. Hopefully you'll find some good material in here. Be careful not to think of 1/3 as 1 divided by 3 - Think of it as a third, or one over three.

1. 2 ½ + 1 ¼ =
2. 3 [sup]1[/sup]/[sub]3[/sub] + 2 [sup]2[/sup]/[sub]3[/sub] =
3. 4 ½ + 2 [sup]2[/sup]/[sub]3[/sub] =
4. 1 [sup]2[/sup]/[sub]3[/sub] + 3 [sup]5[/sup]/[sub]8[/sub] =
5. 4 [sup]3[/sup]/[sub]5[/sub] + 2 [sup]3[/sup]/[sub]4[/sub] =
6. 5 [sup]2[/sup]/[sub]5[/sub] - 2 [sup]2[/sup]/[sub]3[/sub] =
7. 4 [sup]1[/sup]/[sub]8[/sub] - 2 [sup]5[/sup]/[sub]6[/sub] =
8. 2 ½ x 1 [sup]1[/sup]/[sub]5[/sub] =
9. 3 [sup]1[/sup]/[sub]3[/sub] x 1 [sup]3[/sup]/[sub]5[/sub] =
10. 4 [sup]4[/sup]/[sub]5[/sub] x 1 [sup]1[/sup]/[sub]9[/sub] =
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Basic Multiplication Exercises

You'll find some Basic Multiplication sums in this thread. None of them are particularly taxing - Just some easy ones to start off with.

Basic Addition Exercise(s)

In Basic Addition you'll find mainly numbers that aren't particularly difficult to add together, such as 257 + 623, or 182 + 98.

Exercise 1