Patterns and Logic
Variables
Exponents
GEMDAS
Area and Perimeter
100
Find the pattern and the next 3 numbers: 1, 11, 21, 31
Add 10 to the previous number. 41, 51, 61
100
17 - c when c =8
9
100
12^2
144
100
50 - 2 x 10 + 4
34
100
Find the perimeter and area: l = 16 ft, w = 3 ft
P = 38 ft A = 48 ft^2
200
Describe the pattern and find the next 3 numbers: 25, 50, 100, 200...
Double the previous number. 400, 800, 1600
200
5w when w=14
70
200
3^5
243
200
6 - 15 / 3 + 2
3
200
Find the perimeter and area: l = 14 mi, w = 6 mi
P = 40 mi A = 84 mi^2
300
In a race the four fastest runners were Alice, Leah, Nadida and Anna. Decide who finished in 1st, 2nd, 3rd and 4th places. • Alice finished before Anna. • Leah finished before Nadida. • Nadida finished before Alice.
1st: Leah 2nd: Nadia 3rd: Alice 4th: Anna
300
y/8 when y=40
5
300
9^3
729
300
3(15 / 3)^2
75
300
Find the perimeter and area: s = 15 yd
P = 60 yd A = 225 yd^2
400
Use a Venn Diagram to help you solve: There are 51 students in the 6th grade. 28 play basketball and 31 play soccer. How many play both? How many play just basketball? How many play just soccer?
8 students play both. 20 play just basketball. 23 play just soccer.
400
15y - 4x when y = 4 and x = 6
36
400
6^0
1
400
2 x 3^3 + (20 - 6) / 7
56
400
Find the length if the width is 5 ft and the area is 35ft^2.
7 ft
500
Describe the pattern and find the next 3 numbers: 12, 25, 51, 103...
Double the previous number and add 1. 207, 415, 831
500
16/m + 12n when m = 4 and n =3
40
500
2x^2 when x = 4
32
500
8(2 x 3 / 3)^3 + 2(3 +1)
72
500
Find the width if the length is 17 in and the perimeter is 42 in.
4 in