Word Problems
SAT
Number Theory
Algebra
RATIO
100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

100

If (x − 1)/ 3 = K  and k = 3, what is the value of x ?

 A) 2 

B) 4 

C) 9 

D) 10

WHAT IS 10?

100

Mrs. Brown bought 98 boxes of strawberries at $9 per box but 25 % of them were found to be rotten.
She sells the non‐rotten strawberries.

What should the selling price per box be so that her profit is 50%?

what is $18

100

2x + 6 =0

x = -3

100

SIMPLIFY    3 days to 3 weeks

What is 1: 7 ?

200

If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?

Austin needs to score a 98.

200

If a/ b = 2, what is the value of 4b/a ? 

A) 0 

B) 1 

C) 2 

D) 4

What is C?

200

Estimate the total you pay if the meal costs $29, the tax is 5%, and the tip is at least 15%.

Round up the total.

what is $36

200

2x - 18 = -3x + 27

x = 9

200

$300 IS SHARE IN THE RATIO 4:1

The smallest share is

What is $60?

300

If three consecutive even numbers have a sum of 84, what is the largest number?

The largest number is 30.

300

If 16 + 4x is 10 more than 14, what is the value of 8x ? 

A) 2 

B) 6 

C) 16 

D) 80

What is C?

300

work out the answers to the calculation below. use a >,<,= sign to compare them

              2+ 4x5- 2+ 43 ___ 16 - 2/2+24 x22

What is <?

300

  Factorise 21x2y  - 7xy  +   42xy2

What is  7xy(3x - 1 + 6y) ?

300

Simplify  3/4  :  5/8

What is 6:5 ?

400

Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?

He will pay $410.

400

If 3x - y = 12 , what is the value of 8x/2y ?

 A) 2 12 

B) 44 

C) 82 

D) The value cannot be determined from the information given 

What is A ?

400

            5,8,13,21,____,____

What is 34, 55?

400

Remove brackets and simplify

   (x + 2)(x + 4)

What is x2 + 6x + 8 ?

400

A drink mixture contains orange juice and pineapple juice in the ratio 5:3

The amount of pineapple juice when the amount of orange juice is 45ml

What is 27ml?

500

If the average of four consecutive even numbers is 49, what are all four numbers?

46, 48, 50, 52

500

9a4 + 12a2b2 + 12ab4 

Which of the following is equivalent to the expression shown above?

 A) (3a2 + 2b2 )  2 

B) (3a + 2b ) 4 

C) (9a2 + 4b2 ) 2 

D) (9a + 4b ) 4

What is A ?

500

In an examination there were 4000 candidate, out of which 2200 candidates were boys and rest were girls.

If 45.5% of the students and 40% of the girls passed, then how many boys passed?

What is 50%

500

Simplify (-2x + 5)(5x - 1)

What is -10x2 + 27x - 5?

500

A family on vacation travelled 450 km in one day.1/3 of distance before lunch,2/5 between lunch and dinner.

 before lunch: between lunch and dinner: after dinner

What is 5: 6:4 ?

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