Maths Revision T4

Order of Operations LI: To solve linear equations that involve brackets Remember the sequence of operations (BODMAS) – it will help! 12 x (3 + 4) = 84 14 x (8 ÷ 4) = 38 35 - (2 + 2) = 31 25 - (3 x 4) = 13 25 - 3 x 4 = 13 1 + 2 x 5 = 15 (1 + 2) x 5 = 15 1 + (2 x 5) = 11 4 - 2 x 2 = 0 3 ÷ (1 x 3) = 1 40 ÷ 5 x 11 = 88 (40 ÷ 5) x 11 = 88 2 x 3 ÷ 6 = 1 2 + 3 x 3 = 15 (2 + 3) x 5 = 25 8 ÷ (2 x 2) = 2 8 ÷ 2 x 2 = 8 8 + (2 x 2) = 12 8 + 2 x 2 = 12 (8 ÷ 2) x 2 = 8 2 + 3 x 5 = 25 (2 + 3) x 5 = 25 2 + (3 x 5) =30 3 x 5 ÷ 3 = 5 3 x (5 ÷ 3) = 5.01 3 x (3 + 4) =21 4 ÷ (2 + 2) = 1 12 - (2 + 2) = 8 12 - 2 + 2 = 8 (12 -2) + 2 = 12 Decimal Revision LI: To multiply decimals by 10, 100 eg: 0.53 x 10 = 5.3 0.23 x 10 = 2.3 0.023 x 100 = 2.3 0.076 x 100 = 7.6 0.76 x 10 = 7.6 7.6 x 10= 76 0.15 x 100 = 1.5 1.5 x 10 = 15 0.15 x 10 = 1.5 2.44 x 10 = 24.4 0.244 x 100 = 24.4 Expanded Numbers LI: To write out the expanded form of these numbers eg: 3456 can be written as 3000 + 400 + 50 + 6 5,987 = 5000+900+80+7 2,330 = 2000+300+30+0 6,764 = 6000+700+60+4 544 = 500+40+4 9,235 =9000+200+30+5 8,897 = 8000+800+90+7 5,001 = 5000+000+00+1 5,009 = 5000+000+00+9 887 = 800+80+7 4,771=4000+700+70+1 Place Value LI: To use the value of numbers to help you solve the problems Make 5 digit numbers by using all the playing cards. However you cannot start with 8 or 2! Make the largest possible odd number. 27 Make the smallest possible odd number. 7 Make a number with the 6 in the thousands place. 26,478 Make the largest number that can be divided by 3. 27 Make the smallest number that can be divided by 4. 20 What is the largest multiple of 2 you can make? 20 Multiply all digits. 27 Factors LI: To find the multiplication factors for each of these numbers eg: 12 = 1,2,3,4,6,12 because 1x12 =12, 2x6=12, 3x4=12 24 6x4= 24 8x3= 24 15 5x3= 15 2x7.5= 15 60 2x30= 60 5x12= 60 35 7x5= 35 44 4x11=44 2x22=44 17 17x1= 17 50 2x25= 50 100 50+50= 100 2x50= 100 25 25+0= 25 25-0= 25 64 32+32= 64 32x2= 64 16 4x4= 16 30 5x6= 30 15+15= 30 32 16+16= 32 16x2= 32 40 20+20=40 20x2=40 Ordering Decimals LI: To put these decimals in order from smallest to largest 1/ 0.1 , 3/1.1 ,2/ 0.01 2/0.05 , 1/0.5 , 3/0.55 2/0.13 , 1/0.09 , 3/1.2 2/0.24 , 3/0.3 , 1/0.07 3/6.5 , 2/5.6 , 1/0.66 1/1.5, 3/13.1 , 2/0.21 2/0.58 , 1/0.6 , 3/0.85 3/2.9 , 2/0.83 , 1/0.9 2/1.3 , 3/3.1 , 2/0.39 Fractions of Sets What fractions of these are NOT shaded? 8/24 11/24 *9/27 9/27 What fractions of these ARE shaded? 18/27 9/27 * 8/24 12/24 Decimal Word Problems LI: To use our decimal knowledge to solve these word problems The price of a watch was $63.75 Andy paid with $100. How much change did Andy get? $37.25 3 hamburgers cost $7.50 altogether. What is the price of 1 hamburger? $2.50 A kg of sugar costs $1.40 A kg of salt costs 0.55c. What is the price of 3 kg of sugar and 2 kg of salt altogether? $4.30 The price of 3kg of carrots is $4.50. What is the price of 8kg of carrots? $11.25 Time LI: To use our knowledge of time to find the elapsed time and complete the table Start Time Finish Time Elapsed Time 9:20 am 1:35 pm 4 h 15 min 2:35 pm 8:05 pm 6 h 55 min 11:20 am 2:15 pm 3 h 35 min 12:05 am 3:55 pm 3 h 5 min 7:10 am 8:15 pm 18 h 35 min 10:15 pm 7:05 am 9 h 55 min Data Analysis LI: To analyse data and answer questions How many ice-creams did we eat in week 2? 100 How many ice-creams did we eat the last 3 weeks? 110 What was the increase of ice-creams we ate between week 5 and 6? 20 How many ice-creams did we eat altogether in those 8 weeks? 670 What was the average number of ice-creams we ate per week? 70