1. a. The ratio of white squares to grey squares is 40:60. b. The number of white squares is 2/5. c. The fraction of squares is 60%. 2. Equivalent ratios: a) 6:8 c) 12:16 d) 15:20. 3. The completed terms will be: a) 3:6 = 2: 4 b) 4:10 = 6: 15 c)
d)
e) 5:15 = 1:3 f) 4:1 = 32:8 g) 14:7 = 6:3 h) 10:2 = 3:6
1. There are a total of 100 squares in the image, of which 60 are grey and 40 are white. Therefore, the ratio of white squares to grey squares is 40:60, which can be simplified to 2:3.
To calculate the fraction of squares that are white, we divide the number of white squares by the total number of squares: 40/100 = 2/5.
To calculate the percentage of squares that are grey, we multiply the fraction of squares that are grey by 100: 60/100 * 100 = 60%.
Therefore, the answers to the questions in the image are:
a) 40:60
b) 2/5
c) 60%
2. To determine equivalent ratios, simplify each ratio by finding the greatest common factor (GCF) of the two numbers and dividing both parts by it.
a) 6:8 - GCF is 2. Simplified ratio is 3:4.
b) 9:15 - GCF is 3. Simplified ratio is 3:5.
c) 12:16 - GCF is 4. Simplified ratio is 3:4.
d) 15:20 - GCF is 5. Simplified ratio is 3:4.
Therefore, the equivalent ratios are:
a) 3:4
c) 3:4
d) 3:4
3) Let's find the missing terms in each given ratio:
a)
The missing term is 4 because
.
b)
The missing term is 6 because
.
c)
The missing term is 15 because
.
d)
The missing term is 4 because
.
e)
The missing term is 1 because
.
f)
The missing term is 8 because
.
g)
The missing term is 3 because
.
h)
The missing term is 3 because
.