Welcome to the third quiz in our Difficult series of Eleven Plus maths quizzes on Decimal Numbers. Now, you will know that metric measures (like tonnes, kilograms, metres and centimetres for example) are all based on decimal numbers. In this quiz we will test your ability to convert one to another by multiplying or dividing by 10, 100, 1,000, 10,000 or even 1,000,000.
Here’s a little reminder which should help you in the quiz:
Armed with this information, you shouldn’t find the questions too difficult. Just take your time and read each on thoroughly before you choose your answer. Good luck!














The rule for multiplying by a whole number beginning with 1 and followed by one or more zeros, e.g. multiplying by 10, 100, 1,000, ... is as follows: When multiplying by such a number, move the decimal point to the right by the same number of zeros as in the number: 10,000 × 10.7856 = 107,856: the decimal point has moved four places to the right = the number of zeros in tenthousand

There are 1,000 g in 1 kg, and 1,000 kg in 1 tonne. 2.397 x 1,000 x 1,000 = 2,397,000


There are 1,000 mm in 1 m, so in 103.274 m there are 1,000 × 103.274 = 103,274 mm

There are 1,000 mm in 1 m, so 235 mm ÷ 1,000 = 0.235 m


There are 1,000 kg in 1 tonne, so in 9.374,808 tonnes there are 9.374,808 x 1,000 = 9,374.808 kg

There are 100 cm in 1 m, so in 1 cubic m there are 100 × 100 x 100 = 1,000,000 cubic cm. In 2.8 cubic m there are 2.8 × 1,000,000 = 2,800,000 cm^{3}


There are 1,000 m in 1 km, so in 0.324 km there are 0.324 × 1,000 = 324 m.
Next, there are 100 cm in 1 m, so in 324 m there are 324 x 100 = 32,400 cm 
There are 1,000 g in 1 kg, so in 26.872 kg there are 1,000 × 26.872 = 26,872 g


For 0.00001 to become 10, the decimal point will have to move 6 places to the right. You will have to multiply 0.00001 by 1,000,000  which has 6 zeros

The rule for dividing by a whole number beginning with 1 and followed by one or more zeros, e.g. dividing by 10, 100, 1,000, ... is as follows: When dividing by such a number, move the decimal point to the left by the same number of zeros as in the number: 12,573 ÷ 100,000 = 0.12573: the decimal point has moved five places to the left = the number of zeros in one hundredthousand
