Maths-11-plus-Haberdashers-2010

115

34

258

Use the proper method:

38

Use Bus Stop method if needed

160

1. Always convert the words to numbers and interpret the question
2. This is the trick with these questions. Being able to convert words to numbers
3. Its simply 32 x 5

23

1. Its just a division question…….in words
2. Use bus stop
3. 

Years Elapsed – 42

Total Height of 2 buildings – 2,523 feet

1. Years Elapsed = 1931-1889 = 42
2. Total Height of 2 buildings 1051+1472 = 2523 feet

1. If not sure, start from Monday 23rd March and add one week. This takes you to 30th March
2. Then go day by day, 31st is Tuesday, 1st is Wednesday, 2nd April is Thursday

South

West starts from 270 degrees. (North being 0 degrees, East 90 Degrees, South 180 Degrees, West 270 Degrees)

So 90 degrees c/wise takes you back to 0 degrees and North. This leaves 180 degrees which takes you to South

a) 45,670

b) 8,101

1. 4567 x 5 x 2
2. (40,505 / 25) x 5

£1.64

1. Use the HCF Principle. This always works if there is a HCF
2. So the HCF of 9 & 12 is 3. Find the cost of 3 bananas first
3. This is £1.23 / 3 = £0.41 for 3 (divide by 3 because there are 3 lots of 3 in 9)
4. For 12 bananas, the cost is £0.41 * 4 = £1.64

4

1. Definately a logical thinking question
2. What you do is cross cancel 56, 55 & 54 because they are on both sides of the brackets
3. Therefore, the revised question becomes 57-53

⁹/₂₅

1. The way to address this is to convert all of the fractions to their simplest form;
2. So again…..HCF ! This is such a crucial part of Maths. Understanding your times tables inside out;
3. This would give us the following:

³/₅    ³/₅    ³/₅ ⁹/₂₅ ³/₅

> So for example, the first fraction 12/20 has the HCF of 4. (12/4)/(20/4) = 3/5

35

1. Use the power of estimation. This is a crucial technique in maths
2. As you are doing questions, try and estimate the answer.
3. When you calculate your answer, you will have an idea if you are close to the answer
4. In the above, round the numbers. So it becomes 7 * 5 (Given square root of 26 is approx 5)
5. Answer will be 35

112 minutes

1. Must read the question. It is asking for minutes and not hours
2. So work on basis
   1. 0942 – 1000 = 18 minutes
   2. 1000 – 1100  = 60 minutes
   3. 1100 –  1134  = 34 minutes
   4. Total time is (18+60+34) = 112 minutes

See below

Remember….Hour handle shorter than minute handle. Also that the hour handle is exactly half way between 9 and 10

See below:

48cm

1. You have to think about times tables;
2. So the shortest length will be the LCM of 6 & 8;
3. This is 48cm

6

1. Permutations would be 34,35,45,43,53,54
2. Or simply 1 x 2 x 3 = 6
3. If you had 4 digits, the permutations would be 1 x 2 x 3 x 4 = 10. And so on

See below

The trick here is to substitute the actual scenarios with a given value. For example, assume the value costs £4.

Then use this figure in every single option to see which one works

c) 55

Notice the pattern and sequence. 1 gives 4 gives 9 gives 16. So a change of 3, 5, 7, 9 etc. Apply this pattern

Work on the basis that everyone starts at £4. 4 people and they shared the bill equally. So £16 total bill. Then go from there and adjust each individual as required