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Monday, May 11, 2020

Maths


Number
Pull apart this number using place value
Round to nearest 10th
Round to nearest whole number (1)
Write as a fraction
Write as a percentage
Double of this number
Half of this number
30% of this number
This number x10
1.45
1 whole, 4 tenths and 5 hundredths
1.5
1
145/100
145%
2.90
0.725
0.435
14.5
0.18
0 whole, 1 tenths and 8 hundredths
0.2
0
18/100
18%
0.36
0.9
0.064
1.8
0.26
0 whole, 2 tenths, 6 hundredths
0.3
0
26/100
26%
0.52
26.0
7.8
260
0.56
0 whole,5 tenths, 6 hundredths
0.6
1
56/100
56%
1.12
0.56
1.68
5.6
0.97
0 whole,9 tenths, 7 hundredths
1.00
1
97/100
97%
1.94
0.97
0.291
9.7
1.23
1 whole, 2 tenths, 3 hundredths
1.3
1
123/200
123%
2.46
1.23
0.369
12.3
1.76
1 whole, 7 tenths 6 hundredths
1.8
2
176/200
176%
3.52
        1.76
0.528
17.6
3.91
3 whole, 9 tenths, 1 hundredths
4.00
4
391/400
391%
7.82
3.91
11.73
39.1
14.095
14 whole, 0 tenths,9 hundreds
14.100
14
14,095/










1.0456


















0.0876



















Finding fractions (answer might be a whole number of a decimal)
¾ of 50=37.5
4/9 of 16=1.7
⅔ of 60=
4/8 of 15=
⅕ of 18=
⅜ of 12=
¾ of an hour (45min)
⅚ of an hour (50min)
4/12 of 100=8.3
⅗ of 15=9

Finding percentages
10% of 50=5.0
20% of $18=3.6
5% of $199=9.95
 25% of 150=37.5
 10% of 56=5.6
 80% of $18.99=15.19
 50% of 120=60
 50% of 260=130
 50% of 32=16
 75% of 150=112.5

Finding decimals
 0.55+0.45=0.95
 1.45+1.65=3.1
 0.99+0.45=1.44
 1-.095=1.095
 3.5-1.2=2.3
 0.095+0.124=0.219
 1.56+1.32=2.88
 0.999+0.9=1.89
 0.32+1.776=2.096
 6.5-0.85=5.65

Word problems
Lucy went for a walk with her family during lockdown. On Monday they walked 2.5km. On Tuesday they walked 4.19km. How far did they walk altogether?6.69
Mele’s goal was to walk 20km in one week during lockdown. The path from her house to the bottom of Mt Wellington is 1.9km one way. How many times does she need to walk to the mountain and back to reach her goal?20 divided by 3.8=5.2
There are 30 students in Room 30. Three fifths of them are going to stay home during Level 2. How many are staying home? How many are coming to school?18 staying 12 going.
Miss Ashley estimates that 40% of the year 7/8s will turn up to technology on Thursday. If there are 70 year 7/8s altogether, how many will turn up? 28 will turn up to tech.
10% of 70 students = 7 students. 7x4=28 (because 40%).
Dad bought a 1.5kg bag of flour. He uses 3 cups of flour to make a cake. How much flour is left? (You can express this in kg, percentage or fraction - you choose). 3 cup= 390gram
Miss Ashley did a typing test online. The test is to get 10 words spelt accurately and as fast as you can. On Monday she could do it in 12.7 seconds. On Tuesday she could do it in 9.9 seconds. How much faster did she get?
12.7-0.7=12
12-2=10-0.1=9.9
2+0.7+0.1=9.9
Two families are having pizza for dinner on the same night. In the first family, Michael, Mariah, Hope, Hevani and their mum and dad and 2 older brothers shared six pizzas equally between them. In the other family, Davlyn, Jairus and Saryah shared three pizzas between them. In which family would you get the most pizza?
Miss Ashley is making lots of pancakes. She has 5.5kg of flour left. Each pancake uses 0.275kg of flour. How many pancakes can she make?20
On speedskills, Tim got 24 questions correct out of 30. What is this as a percentage?80%
Miss Ashley has $50 for petrol for her car. If petrol is $1.85 per litre, can she get enough petrol to fill up her 30 litre tank?
Bonus: if she doesn’t have enough, how much more money does she need to fill it up?

Number
Pull apart this number using place value
Round to nearest 10th
Round to nearest whole number (1)
Write as a fraction
Write as a percentage
Double of this number
Half of this number
20% of this number
This number x10
1.45
1 whole, 4 tenths and 5 hundredths
1.5
1
145/100
145%
2.90
0.725
0.435
14.5
0.32
0 whole, 3 tenths and 2 hundredths
0.3
0
32/100
32%
0.64
0.16
0.604
3.2
0.99
0 whole, 9 tenths and 9 hundredths
1
1
99/100
99%
1.98
0.454
0.18
9.9
0.567
0 whole, 5 tenths,6 hundreds and 7 thousands
0.6
1
567/1000
56.7%
1.13
0.280
0.1134
5.607
1.25
 1 whole, 2 tenths and 5 hundredths
1.30
1
125/200
125%
2.50
0.125
0.250
12.5
2.33
2 ones, 3 tenths and 3 hundredths
2.3
2
233/300
233%
4.66
0.165
0.466
23.3

Finding fractions (answer might be a whole number of a decimal)
⅓ of 10=3.33
⅘  of 50=40
1 ½ of 10=5.5
⅔ of 180=120
⅕ of 1000=200
¾ of 100=75
⅔ of 900=600
⅘ of 450=360
7/10 of 70=49
4/6 of 60=40

Finding percentages
18/20 as a percentage = 90%
42/50 as a percentage = 84%
32/35 as a percentage = 91%
20/30 as a percentage = 60%
3/15 as a percentage = 20%
20% of 30 = 6
40% of 50 = 20
80% of 80 = 64
30% of 15 = 4.5
75% of 40 = 30

Finding decimals
 1.5+1.5=3
8-1.4=6.6
5-1.32=3.68
6-1.43=4.57
1-0.095=0.91

Word problems
There are 6 students in Room 4. The other three-quarters of the students in the school are in Rooms 1,2 and 3. How many students are in Rooms 1, 2 and 3?6
Using a typing test, Miss Ashley correctly typed 20 words in 25.41 seconds. The next day, she typed 20 words in 24.98 seconds. How much faster did she get?0.43
During the rugby tournament, Leon drank 1.2 litres of water and other juice. On a normal day back at school, he only drinks 0.345ml of water. How much extra water did he have on the day of the tournament?0.865
Miss Ashley had the idea to sew masks for the kids when they come back to school. Each mask takes 0.33m of fabric to make. She has 8m of fabric. Does she have enough to make one mask each for her 26 students?
Bonus: If she doesn't have enough, how much more fabric would she need?
If you buy 1 litre of juice, it costs $1.50. If you buy the 5 litre, it costs $5.99. If you want 10 litre of juice for a party, which should you buy and why?5.99x2=11.98.

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