What would you rather have: a half of a half of a half of something nice or a half of a quarter of something nice?

# Fractions (Medium)

Fractions have a denominator and a numerator. In your lessons at school you will no doubt be learning all about fractions. They can sometimes cause confusion and if you haven't quite understood them so far, play our four quizzes until you are sure you understand what they mean.

You may think fractions are old-fashioned and no longer used, but you will come across them in everyday life often enough. To test this, while you are out and about this week, see how many fractions you can spot - and more importantly, see if you can work out what they mean!

In this 11-plus Maths quiz you will get a chance to revise what you have already learnt. Do the first two quizzes on fractions BEFORE you do this quiz.

Take your time and try and have fun.

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1. What is 435 as an improper fraction?
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 4 × 5 = 20. STEP 2: 20 + 3 = 23. STEP 3: 235
2. What is 23 of 21?
23 × 21 = (2 × 21) ÷ 3 = 42 ÷ 3 = 14. Do the brackets first. The word OF means multiply
3. What is two-thirds of £81?
23 × £81 = (2 × £81) ÷ 3 = £162 ÷ 3 = £54. Do the brackets first. The word OF means multiply
4. What would you rather have: a half of a half of a half of something nice or a half of a quarter of something nice?
12 × 12 × 12 = 14 × 12 = 18. The word OF means multiply
5. What is 25 + 410 + 1215?
25 + 410 + 1215 = 25 + 25 + 45 = 85. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators - it really is as easy as that!
6. What is 98 - 34 + 58
98 - 34 + 58 = 98 - 68 + 58 = 1. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add the fractions by simply adding their numerators - it really is as easy as that!
7. What is 123 as a mixed fraction?
To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 12 ÷ 3 = 4. STEP 2: Remainder 0. STEP 3: 4. Be on the LOOKOUT for this sort of thing!
8. What is 823 as an improper fraction?
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 8 × 3 = 24. STEP 2: 24 + 2 = 26. STEP 3: 263
9. What is 125 as a mixed fraction?
To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 12 ÷ 5 = 2. STEP 2: Remainder 2. STEP 3: 225
10. How many sevenths are there in 6?
There are seven sevenths in 1, so there are 7 × 6 = 42 sevenths in 6. In general, the number in the denominator tells you how many fractions of that type are needed to make 1. For example, you need three thirds, 13, to make 1, but you need ten tenths, 110, to make 1 and so on. REMEMBER this stuff, and you won't get confused with fractions

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