5) 5>
Answer:
1 cut ---> 2 sheets
2 cuts---> 4 sheets
3 cuts---> 8 sheets
4 cuts---> 16 sheets
...
10 cuts--> 210 sheets
1024 (.01) = 10.24mm = 1.024 cm
6)
Answer:
10 (45) + 10 (45) + 1 = 901
1 + 10 * (the sum of the digits 1 to 9) + 10 * (the sum of the digits 1 to 9) = 901
7)
Answer:
Let x = percent increase
4.00 * x = 5.00
x = 5.00/4.00 * 100% = 125%
10.00 * 125% = $12.50 is the new cost of cleaning a jacket
8)
Answer:
On 4 sides 20cm of ribbon each = 80cm on the top and bottom.
.5 * 10cm = 25cm
2 * 25cm = 50cm
Total amount of ribbon 47cm + 50 cm + 80cm = 177cm = 1.77m
9)
Answer:
362 = 1296 cm2
10)
Answer:
180 degrees - 120 degrees = 60 degrees
180 degrees - 110 degrees = 70 degrees
60 degrees + 70 degrees = 130 degrees
180 degrees - 130 degrees = 50 degrees
11)
Answer:
x / 25 = 72
x = 1800 = the sum of all the grades
1800 - 36 + 86 = 1850
1800 / 25 = 74%
12)
Answer:
Let C = # of acorns Chip had and D = # acorns Dale had.
Then C + 1 = D - 1 ; D=! = 2(C-1).
Solve to get C = 5 and D = 7.
13)
Answer:
45 degrees
Percentages:
$15/$120 *100% = 12.5%
360 degrees * 12.5% = 45 degrees
14)
Answer:
42 + 33 = ?2
25 = ?2
5km = ? 3km + 5km = 8km
She would have to walk an additional 4 kilometers to get home from where she met the dog.
15)
Answer:
Areas: semi circle: area = Pi * radius squared
= 1/2 Pi * r2
= 1/2 Pi (2m)2
= 1/2 Pi (4m,sup>2)
= 2Pi m2
triangle : area = 1/2 base * height
= 1/2 (3m)(4m)
= 6 m2
rectangle : area = (4m)(6m)
= 24 m2
Total area = 24 + 2Pi + 6 = 36.28 m2.
Cost = $5.00/m * 36.28 m,sup>2 = $181.42
16)
Answer:
Pythagorean Theorem
x2 = 82 + 62 y2 = 32 + 42
x2 = 64 + 36 y = 5 cm
x = 10cm
LM = 10cm + 5cm = 15cm = 150mm
17)
Answer:
1/4
18)
Answer:
The snake is one meter long.
100/2 = x/4.5
x = 450/2 = 225cm high
19)
Answer:
1st birthday -> $1
2nd birthday -> $2
3rd birthday -> $4
$8
$16
$32
$64
$128
------
$255
20)
Answer:
Mathematics Science Art
| | |
Ms. Smith Ms. Gracia Ms. O'Leary
21)
Answer:
2/3 * 27 = # of Charle's comics = 18
Jim has 3 * 18 = 54 comic books
22)
Answer:
6 for $10 4 for $10.00
1 for $10/6
1 for $2.50
x$2.50 - x$10/6 = $60.00
.83x = $60.00
x = 72 handkerchiefs.
23)
Answer:
How many hours in total does it take you?
160km/80km/hr = 2hr 160km/48km/hr = 3.33hr
Average speed = (160 + 16)0/(2 + 3.33) = 60km/hr
24)
Answer:
Find out how many disks for each weight 2kg and 5kg.
x = # of 2kg disks
14 - x = # of 5kg disks
2kg = 5kg(14-x)
2kg * x = 5kg(14 - x)
2kg * x = 70kg - 5kg * x
7kg * x = 70kg
x = 10
10 = # of 2kg disks
4 = # of 5kg disks
Total weight = 2kg (10) + 5kg (4)
= 40kg
25)
Answer:
One way is to lay the 12cm and 15cm carrots end to end. Then lay the 10cm carrot next to the other two and mark off the distance.
12 15
|------------|--------------|
|----------|////////////////|
10 17
26)
Answer:
-You must be a girl,
-Your brother Pat is younger than you,
-Connie is a younger sister,
-Jennifer must be the mother,
-You are Sharon.
27)
Answer:
DE = 5cm
BE = 10cm
BC = 2.5cm
28)
Answer:
a)
445 - 157 = 288 pages left
288/24 = 12
It will take twelve days to finish the book.
b)
288/9 = 32 pages a day
29)
Answer:
2 | 7 | 3
-----------
4 | 6 | 9
-----------
1 | 8 | 5
6 | 1 | 2
-----------
4 | 5 | 7
-----------
3 | 9 | 8
1 | 3 | 5
-----------
2 | 4 | 6
-----------
7 | 8 | 9
30)
Answer:
1st -> 15
2nd -> 19
3rd -> 23
4th -> 27
5th -> 31
6th -> 35
-----------
150 pies
31)
Answer:
$1.70/.5 = x/ 2.5
.5x = 4.25/.5
x = $8.50
32)
Answer:
width = 6cm
length = 10cm
height = 12cm
6cm * 10cm * 12cm = 720 cm3
33)
Answer:
On each side:
48/4 = 12 posts (4 are shared corner posts)
(12-1) * 5 = 55m on each side (there are 12-1, 5m sections on each side)
Area = 55m * 55m = 3025m2
34)
Different Answers:
1) 1*1 + 1*1 + 9*9
2) 3*3 + 5*5 + 7*7
3) 4*4 + 3*3 + 7*7 + 3*3
35)
Answer:
17000/7*60 + 27 = 38.03 sit-ups/min -> Record
17000/40 = 425 minutes = 7 hours and 5 minutes
Your rate is better!!
36)
Answers:
x = # of incorrect answers
7x = # of correct answers
120 = 8x
x = 15 incorrect
7*15 = 105 correct
37)
Answer:
1 -> 4
2 -> 9
3 -> 16
4 -> 25
5 -> 36
6 -> 49
7 -> 64
8 -> 81
9 -> 100
----------------
385 grapefruit
38)
Answer:
x squared = 22 + 1.52 Perimeter = 4(2.5) = 10cm
x = 2.5
Area of a triangle = 1/2*bh
= .5 * 2 * 1.5
= 1.5
Area = 4(1.5) = 6 cm2
39)
Answer:
x = width
4x = length
x*4x = 100 meters squared
4x*x = 100
x*x = 25
x = 5 = width
4x = 20 = length
40)
Answer:
Time = 4112/760 = 5.4 hrs ; 5.4hrs * 60 = 324 mins
Time = 4112/904 = 4.55 hrs = 273 mins
Sydney to Saskatoon = 324 mins
Saskatoon to Sydney = 273 mins
The trip West is 51 minutes longer
41)
Answer:
2025 > x > 1936
1950 = 13 * 150
42)
Answer:
10cm = diameter B
5cm = diameter C
A = Pi * r2
= Pi (2.5cm)*(2.5cm)
= 6.25*Pi cm2
43)
Answer:
Area of sides = 3*4 - 1*1 - 3*1 = 8
Area of front and back = 3*4 = 12
Area of top and bottom = 3*4 = 12
Total = 2*8 + 2*(12) + 2*(12) = 64cm2
44)
Answer:
Moon Earth Sun
\ / \ /
3.84*105 km 1.49*108 km
1.49*108/3.84*105=388 times as great
45)
Answer:
Total: $54.77
$78.20
$38.25
+ $39.50
-----------
$210.72
210.72/2 = 105.36
Angie Owes 132.97 - 105.36 = $27.61
46)
Answer:
x = age of daughter
4x = fathers age
4x + 20 = 2(x + 20)
4x + 20 = 2x + 40
2x = 20
x = 10
I am 10, my father is 40
47)
Answer:
a) 255/256
b) (2n -1) / (2n)
48)
Answer:
2.5/12 = x/30
x = 6.25km
= 6.25*103m
49)
Answer:
26 hens and 12 hogs
50)
Answer:
27 pineapples
51)
Answer:
5.8cm