A1 Evaluate the following:

Transcription

1 A1 Evaluate the following: Your answer should be expressed in the form least possible integer. Pass on the value of ab. where b is the

2 A2 T is the number that you will receive. Solve the simultaneous equations 3A + B = 7 5A 3B = 7. Write down the greater value of x for which Ax 2 + Bx T = 0. Pass on three times your answer.

3 A3 T is the number that you will receive. Triangles ACE and BCD are similar, with BD parallel to AE, and lengths CD, DE as shown in the diagram. C T The area of triangle ACE is 36 units 2. B D 3 Pass on the area of trapezium ABDE. A E

4 A4 T is the number that you will receive. In the diagram, DE is a tangent to the and AB = AC. Angle BCE = circle. A B D C Write down the size, in degrees, of angle ACB. E

5 B1 The diagram shows the curve with minimum point ( 2, 3). y x Pass on the value of b c.

6 B2 T is the number that you will receive. A cuboid has length 6 cm, width cm and height T cm as shown in the diagram. B T A 6 Write down the length of the diagonal AB. Your answer can be expressed in the form where b is the least possible integer. Pass on the value of b a.

7 B3 T is the number that you will receive. The operation is defined by the equation a b = a + b + a b. Write down the value of. Pass on one third of your answer.

8 B4 T is the number that you will receive. Tina travels for half an hour at a speed of T m s 1. She then travels for two hours at a speed of 2T m s 1. Finally, she travels for one and a half hours at a speed of 3T m s 1. Write down her average speed.

9 C1 Evaluate the following: Your answer can be expressed in the form an improper fraction in its simplest form., as Pass on the value of a b.

10 C2 T is the number that you will receive. The two positive solutions to are and, where. Pass on the value of.

11 C3 T is the number that you will receive. Pass on the difference between the range and the mean of the frequency distribution given in the table below. x Frequency T T 8 11

12 C4 T is the number that you will receive. A flag is formed by combining squaress of cloth. T 2 squares have a shaded circle as shown. T + 1 squares are blank. Write down the fraction of the flag that is shaded.

13 D1 A wire sculpture is formed from a large circle with radius 5 cm, two identical smaller circles each with radius x cm and an isosceles triangle as shown. The base of the isosceles triangle is a tangent to all three circles, has a length of 24 cm and the height is equal to the radius of the larger circle. The length of wire used to form the sculpture is (50 +18π) cm. Find the radius x of the smaller circle. Pass on the value of 6x.

14 D2 T is the number that you will receive. Solve the simultaneous equations x + 2y = 8 3x+ 2z = T + 2 y + z = 7. Pass on the value of.

15 D3 T is the number that you will receive. Evaluate the following: Your answer can be expressed in the form the least possible integer., where b is Pass on the value of.

16 D4 T is the number that you will receive. A cylindrical tank of radius 10 cm and height 30 cm is 60% full of water. (T 7) identical spheress are dropped into the tank, sink and become fully submerged, resulting in the water level rising to of the total height Calculate, in cm, the radius of a single sphere.

17 Answers Question Relay A 10 Relay B 3 Relay C 5 Relay D 12 1 Question 2 Question Question m s 1 π/12 3