**258**

Use the proper method:

**38**

Use Bus Stop method if needed

**160**

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

**23**

- Its just a division question…….in words
- Use bus stop

**Years Elapsed – 42**

**Total Height of 2 buildings – 2,523 feet**

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

- If not sure, start from Monday 23rd March and add one week. This takes you to 30th March
- 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**

- 4567 x 5 x 2
- (40,505 / 25) x 5

**£1.64**

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

**4**

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

^{9}/_{25}

- The way to address this is to convert all of the fractions to their simplest form;
- So again…..HCF ! This is such a crucial part of Maths. Understanding your times tables inside out;
- 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**

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

**112 minutes**

- Must read the question. It is asking for minutes and not hours
- So work on basis
- 0942 – 1000 = 18 minutes
- 1000 – 1100 = 60 minutes
- 1100 – 1134 = 34 minutes
- 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**

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

**6**

- Permutations would be 34,35,45,43,53,54
- Or simply 1 x 2 x 3 = 6
- 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