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1 . Solve
6.3 x 2.1 =
2. Solve:
3.54 ÷ 0.4 =
3.
171 out of 180 tickets were sold for a school concert. What percentage of tickets were sold?
Answer: %
4. Solve the following questions:
A) The cost of an adult’s ticket for a theme park is £42. A child’s ticket is 68% of the price of an adult’s ticket. How much does a child ticket cost? £
B) The family has 2 adults and 3 children. How much does it cost them? £
C) There is the option of buying a family ticket which consists of 2 adults and 2 children for £120. What is the new total they pay now and what is the percentage of saving the family is making? New total £ and % saving.
5. Evaluate:
a) 3^{8} x 3^{5} =
b) (2^{7})^{2} =
c) 5^{3} =
6. Find:
a) All the prime numbers between 20 and 30.
b) Find the common factors of 6 and 20
7. Solve the following problem.
A recipe uses sugar and butter in the ratio 3 : 1 how much butter would be needed for 100g sugar?
Answer: g.
8. Simplify the expression
a) 4a + 3b a 7b =
Answer:
b) ab + cdxy+ 3ab 2cd+ 3yx + 2x^{2}=
Answer:
9. Expanding brackets
a) 3(a + 2) =
Answer:
b) (2x +1)(3x2) =
Answer:
c) 3(x2)^{2} =
Answer:
10. Factorise the equation
a) 3x^{2 }+ 2x=
Answer:
b) 15x^{2} – 10xy =
Answer:
11. Solve the equation
a) x +8 = 15
Answer:x=
b) 4x +12 = – 8
Answer:x=
c) 8(x+2) =36
Answer: x=
Calculate
a) angles on a straight line adds up to °
b) calculate the missing angle
Answer: c = °
c) calculate the missing angle
Answer: d = °
13 calculate the areas:
a) calculate the area of the square.
Answer: m^{2}
b) Calculate the area of the triangle
Answer: mm^{2}
c) Calculate the area.
Answer: cm^{2}
14 Calculate the perimeter of the following shapes
a) calculate the perimeter of the triangle
Answer m
b) calculate the perimeter
Answer: cm
15 . Find the:
a) circumference of a circle which has a diameter of 8cm
Answe: cm (1 d.p.)
b) area of a circle which has a radius 3cm
Answer: cm^{2} (1.d.p)
16. Find the length x on the triangle. Give your answer to 2 decimal places.
Answer: x= cm (2 d.p.)
Answer: w = cm (3 s.f.)
Answers: A= cm b= ° c= ° d= ° e= cm f= cm
19. Find the:
a) find the mode from the set of data : 3 7 4 9 6 3 4 2 3 1 3 mode =
b) find the median from the set of data: 3 3 4 5 7 8 median =
c) find the mean from the set of data : 6, 9, 2, 7, 7, 6, 5, 9, 6 mean=
d) find the range from the set of data: 16, 8, 12, 12, 13,13, 8, 8, 17 range =