Monday, March 30, 2020

Surprise Test

Hello, today you will have a surprise test. You will have 15 minutes to complete it.

Test:

1. 1938 + 4608

2. I invest £150, I increase my money by 85% but I do not withdraw my profits and then I lose 25%. How much money do I have?

3. 893,613 - 176,839

4. 4657 x 9357

5. (36 square root + 454) / 4 

6. I have a bag of candies with blue, yellow and red sweets. They are shared in the ratio 9:4:6 . There are 228 candies in total . How many of each coloured candy are there?

7. 34,813 / 6               (give your answer as a decimal number)

8. Order the following in ascending order :

5.36 , 5.63 ,  5.036 , 5.336 , 5.633

9.  a) 8 cubed                b)  169 square root

     c) 14 squared             d) 9 cubed


                                                                      END OF TEST

Saturday, March 28, 2020

Four operations word problems

Hello, today we will look at word problems involving four operations. The most common word problem on four operations in the SATs follows the structure of problems like 'I have a number, I multiply it by 4 , then I add 9 and divide it by 3. My final number is 11 , what was my original number ? ' . To do these problems you should do the inverse operations to the final number in the opposite order so to solve the above problem you should do 11x3=33-9=24/4=6. Other problems mix four operations with other topics such as measurement and fraction . To do these problems you should know what the problem is asking you to do . To work this out should know what certain words mean like decrease means subtract. Then you should show your working out and write your answer.

Now that you know how to answer these questions try these :
Mild:
1.I have a number , I times it by 6 , add 13 and divide it by 5 . I now have 11.What was my original number?                                                                                                                                                      2.My ribbon is 1.35 metres long but Jack cut off 25 cm . I then sew on another half of what is left , how long is my ribbon now?
Medium:
1.My number is 15 . I do 3 different things to it to get 50 . What could I have done ?
2.I have £4.85 , I lose £1.50 but then I find a £2 coin . In happiness, I spend 65p on a choclate bar. How much money do I have left?
Hot:
1.Red land and Blue land are ancient tribes. Blue land is 145,900 km squared whilst Red land
is 125,600 km squared . They both break out in war and Red land gains 2,350 squared km of area but half of it is soon  taken over. How large is each tribe now?
2. I have a number , I multiply it by 6 , add 8 , divide it 4 and subtract 0.5 . My new number is 69 , what was my original number ?

Friday, March 27, 2020

BODMAS

Today we will focus on BODMAS or BIDMAS.
BIDMAS is the order we perform operations in equations. It stands for :

Brackets
Indices i.e. to the power of four , squared
Division ( / means the same as divide)
Multiplication
Addition
Subtraction

Note: Division and multiplication are at the same level. Addition and subtraction are at the same level.

Example:

(13+45)x3/2=?

First, we do what is in the brackets: 13+45=58 so we now have 58x3/2.
Next, because multiplication is at the same level as division, we do it in the order that it is in the equation so 58x3 which is equal to 174. This means now we have 174/2 left to do which is 87.
Answer=87

Now try these :

Mild :

1. 8x4+32-4squared=?      2. (85-45)x3=?     3. 43+8-12=?      4. (67-21)/2=?

Medium:

1. 81square root /3x6=?      2. 45/9+3x14=?     3. (65/13)squared x11=?      4. 51/17x12/9=?

Hot:

1. (3cubed +49)/4 x 8=?       2. 381/3 x 8 /5=?     3.  5to the power of four /4 x 3=?    
 4. (96/12)cubed x4

Four operations

From today till next-to-next Monday we will focus on four operations.

About Me

Hello, my name is Hitesh, and on this blog I will provide FREE resources to prepare KS2 for their maths SATs. The blog is ideally for Year 6 but the 'Mild' level can also be done by Year 5 and possibly Year 4. On the blog I will post daily on a weekly subject and will show worked examples and explain them thoroughly. If you need extra help please comment and I will see what I can do.