Phase 1 Maths Algebra One of a Kind
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Question 1 of 21
1. Question
4 point(s)Write the correct operations (+ or – or × or ÷) in these statements.
Use the “/” for the ÷.

(a) b b = 0
(b) b b = 1
(c) b b = 2b
(d) b b = b^{2}
Correct / 4 PointsIncorrect / 4 Points 

Question 2 of 21
2. Question
4 point(s)In each part of this question work out the number value that can replace the letter to make the number statement true.

(a) M x 13 = 91 m =
(b) 2 x T + 9 = 35 T =
(c) 2 x N – 8 = 6 N =
(d) R x R + R = 20 R =
Correct / 4 PointsIncorrect / 4 Points 

Question 3 of 21
3. Question
1 point(s)One mango cost the same as 8 bananas.
Two pomelos cost the same as 6 bananas.
How many pomelos can I buy for the same price as 3 mangoes?

Answer: pomelos
CorrectIncorrect 

Question 4 of 21
4. Question
1 point(s)Eliot is now twice his cousin’s age. In 4 years’ time Eliot will be 16. How old will his cousin be then?

Answer: years
CorrectIncorrect 

Question 5 of 21
5. Question
2 point(s)Two numbers have a sum of 87.
The larger of the numbers is twice the smaller. What are the two numbers?

Smaller number =
Larger number =
Correct / 2 PointsIncorrect / 2 Points 

Question 6 of 21
6. Question
1 point(s)A number has 6 added to it.
The result is doubled.
The answer is 18. What was the number?

Answer:
CorrectIncorrect 

Question 7 of 21
7. Question
1 point(s)A number is multiplied by 2 and then 8 is added.
If the answer was 4, what was the number?

Answer:
CorrectIncorrect 

Question 8 of 21
8. Question
1 point(s)Ben thinks of a number. He subtracts 17 and then times the result by 4.
He then has 15. What was the original number? Give your answer as a decimal.

Answer:
CorrectIncorrect 

Question 9 of 21
9. Question
2 point(s)Daniel uses a number machine to find values for the following algebraic expression with different inputs:
9y – 3

(a) What is the OUTPUT if Daniel uses 12 as his INPUT?
(b) Daniel’s OUTPUT is 15. What was his INPUT?
Correct / 2 PointsIncorrect / 2 Points 

Question 10 of 21
10. Question
3 point(s)Olivia is using a “multiply then subtract” number machine.
When she inputs 7 the output is 10.
When she inputs 5 the output is 6.

(a) Complete the number machine for Olivia:
INPUT —– multiply by —— subtract ——– OUTPUT
(b) What will Olivia’s OUTPUT be if her INPUT is 3?
Correct / 3 PointsIncorrect / 3 Points 

Question 11 of 21
11. Question
1 point(s)Solve the following equation:
15 = y + 3

y =
CorrectIncorrect 

Question 12 of 21
12. Question
1 point(s)Solve the following equation:
^{ b}/_{4} = 8

b =
CorrectIncorrect 

Question 13 of 21
13. Question
1 point(s)Work out the value of x if
6x – 5 = 37

x =
CorrectIncorrect 

Question 14 of 21
14. Question
1 point(s)8a + 5 = 25
Work out the value of a. (Give your answer as a decimal.)

a =
CorrectIncorrect 

Question 15 of 21
15. Question
1 point(s)5y + 7 = 25 – y
What is the value of y?

y =
CorrectIncorrect 

Question 16 of 21
16. Question
2 point(s)Adam is completing a table of values for the formula 6n – 4
This is his table:
What numbers should he put in the place of

A? A =
B? B =
Correct / 2 PointsIncorrect / 2 Points 

Question 17 of 21
17. Question
5 point(s)Calculate the following values given that a = 3, b = 4 and c = 5.

(a) a + b =
(b) a – c =
(c) 2a – b =
(d) 2c – 2b =
(e) 3a + 4b + 5 =
Correct / 5 PointsIncorrect / 5 Points 

Question 18 of 21
18. Question
5 point(s)Calculate the following values given that a = 1, b = 2 and c = 3.

(a) a + b =
(b) 2b + a =
(c) b + a + c =
(d) b – 6 + 2a =
(e) 4b + 2a – 7c =
Correct / 5 PointsIncorrect / 5 Points 

Question 19 of 21
19. Question
1 point(s)A DIYhire company uses the formula C = 30n + 50 to work out the cost, C pounds, of a customer using a machine for n days. Use the formula to work out the cost of using the machine for 15 days.

Answer: £
CorrectIncorrect 

Question 20 of 21
20. Question
2 point(s)The formula to convert a temperature in Fahrenheit, F, to the equivalent temperature in Celsius, C, is
C = ^{5}/_{9}(F – 32)
Use the formula to convert

(a) 77 °F to the Celsius equivalent. °C
(b) 5 °F to the Celsius equivalent. °C
Correct / 2 PointsIncorrect / 2 Points 

Question 21 of 21
21. Question
2 point(s)An egg producer designs two new containers.
The mini container can hold p eggs and the maxi container can hold q eggs.
In answering the questions, do not use any spaces in your answers.

(a) Lynne buys a maxi container, and when she gets home finds 4 eggs have been broken. Write an expression for the number of eggs Lynne still have.
(b) Beth buys one mini container and four maxi containers of eggs. Write an expression for the number of eggs Beth has?
Correct / 2 PointsIncorrect / 2 Points 