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FORM 4 CAT 1

Total questions: 41

Worksheet time: 2hrs 43mins

Name
Class
Date
1.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

2.

Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.

a)

$135

b)

$13,500

c)

$270

d)

$27,000

3.
Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?
a)
95
b)
105
c)
125
d)
135
4.
Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52                     (Mr. Williams)       
b)
$831.10                 (Mrs. Hoch)
c)
$839.45                    (Mr. Krajunus)
d)
$846.80                   (Ms. Palombo)
5.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)
$6,273.50  frustrated
b)
$6,314.08 bewildered
c)
$6,385.72         pleased
d)
$6,427.94           tickled pink
6.
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
a)
$33,299.42       playing dodgeball
b)
$33,672.68   climbing trees
c)
$34,157.04         riding unicycles
d)
$34,710.88      flipping pancakes
7.

Steve deposited

$5,000 in a savings account that pays 4% interest compounded annually. Which

equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)3

b)

A = 5,000(1 + 0.04)3

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)3

8.
The compound interest formula is:
A = P(1 + r)t

What does the A represent?
a)
The amount of interest earned.
b)
The amount of time that has passed.
c)
The total amount of money after a certain amount of time.
d)
The amount required to invest.
9.

Deana invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total money will Deana earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

10.

Principal: $5000

Interest Rate: 3.75%

Time: 25 years

Compounded Monthly

State the future account balance.

a)

$12712.31

b)

$12,749.30

c)

$12,657.59

d)

$12550.84

11.

Angelique wants to buy a microwave on a hire purchase agreement. The cash price of the microwave is R4 400

R4 400. She is required to pay a deposit of 10%

10% and pay the remaining loan amount off over 12

12 months at an interest rate of 9%

9% p.a.


What is the principal loan amount?

a)

R 4 400

b)

R 3 9600

c)

R 440

d)

R 3690

12.

There are 36 bunnies in the woods. The number of bunnies in the woods increases by 26% one year, then decreases by 14% the following year. How many bunnies are there now?

a)

40

b)

47

c)

30

d)

39

13.

A car bought for £7500 depreciates by 7% each year. How much is the car worth after 2 years?

a)

£8586.75

b)

£4512.76

c)

£6486.75

14.

A company's printers are currently worth £2400 and the lose 14% of their value every year. How much less will the be worth in 5 years time?

a)

£720.00

b)

£1270.98

c)

£2064.00

d)

£1129.02

15.

If someone's taxable income is $50,000 and the tax rate is 20%, how much tax do they owe?

a)

$25,000

b)

$15,000

c)

$5,000

d)

$10,000

16.

If someone's income is $80,000 and they fall into the 30% tax bracket, how much tax do they owe?

a)

$30,000

b)

$8,000

c)

$24,000

d)

$50,000

17.

An Arrow with a Magnitude and Direction

a)

Scalar

b)

Vector

c)

Refractor

d)

Tip to Tail

18.

a +b

a)

(81)\left(\frac{8}{1}\right)

b)

(49)\left(\frac{4}{9}\right)

c)

(107)\left(\frac{10}{7}\right)

d)

(121)\left(\frac{12}{1}\right)

19.

c + b

a)

(10−5)\left(\frac{10}{-5}\right)

b)

(5−8)\left(\frac{5}{-8}\right)

c)

(6−2)\left(\frac{6}{-2}\right)

d)

(7−11)\left(\frac{7}{-11}\right)

20.

3c - 2b

a)

(−425)\left(\frac{-4}{25}\right)

b)

(019)\left(\frac{0}{19}\right)

c)

(9−8)\left(\frac{9}{-8}\right)

d)

(5−4)\left(\frac{5}{-4}\right)

21.

Find the value of y

(a)  

22.

Find the value of z

(a)  

23.

Express the vector AB→\overrightarrow{AB} as a column vector. 

a)
b)
c)
d)
24.

If NN  is the midpoint of  OL→\overrightarrow{OL}  , then  NN  is equal to  (3 , 52)\left(3\ ,\ \frac{5}{2}\right)  .

a)

True

b)

False

25.

The diagram below shows two position vectors OA and OB. OA as a column vector is

a)
b)
c)
d)
26.

OB→\overrightarrow{OB}  as a column vector is

a)
b)
c)
d)
27.

Given the above position vectors find BC→\overrightarrow{BC}  

a)
b)
c)
d)
28.

If AD→\overrightarrow{AD} = a - 2b the vector that is parallel to  AD→\overrightarrow{AD}  is

a)

3a - 2b

b)

a - 4b

c)

-2a + 4b

d)

2a - 5b

29.

AB→\overrightarrow{AB}  The coordinates of two points A and B are (3, 4) and (9, 12). Find the magnitude of

a)

10

b)

16

c)

81

d)

100

30.
a)

b - 1/2 a

b)

1/2 a - b

c)

1/2 (a + b)

d)

1/2 (b - a)

31.

Component Form

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

32.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
33.

Find the magnitude of the vector a

a)

4

b)

4.24

c)

8.2

d)

9.42

34.

Describe the translation using a column vector

a)

A

b)

B

c)

C

35.

Calculate the magnitude of the vector AB

a)

5

b)

25

c)

7

d)

-5

36.

a)

A

b)

B

c)

C

37.

Vector a = 2i + 3j - 5k. What is the value of 3a?

a)

3i + 3j - 3k

b)

5i + 6j - 8k

c)

6i + 9j -15k

d)

6i + 6j - 15k

38.
Find the magnitude of
vector AJ with A(0,-8,-7) and J(9,-2,-5). 
Write your answer in simplified form.
a)
10
b)
11
c)
12
d)
13
39.

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

a)

i+3j-5k

b)

-i-3j+3k

c)

i-j-5k

d)

-i-j+3k

40.

Find the magnitude of  v→\overrightarrow{v}  with component form  <4,5,2><4,5,2> . 

a)

353\sqrt{5}  

b)

11\sqrt{11}  

c)

4545  

d)

1111  

41.

Given the vector v = 3i -2j +6 k, the magnitude of a is:

a)

36

b)

49

c)

7

d)

6