Year 10 Spring Higher Assessment

Year 10 Spring Higher Assessment Mathematics

Name __________________________

Date _____________

Time allowed 55 minutes

The maximum mark for this paper is 50

Instructions

Use black ink or black ball-point pen Calculator allowed Draw diagrams in pencil Answer all questions You must answer the questions in the spaces provided Do all rough work in this booklet Cross through any work you do not want to be marked You must keep working until the end of the 55 minutes

Information The results of this assessment will be reported back to parents/carers.

Page 1 of 15

Test Analysis

Question

1

Simplifying Indices

2

Standard Form

3

Changing units

4

Parts of a Circle

5

Equation of a Circle

6

Use Trigonometry to calculate missing angles

7

Finding the mean from a grouped frequency table

8

Density & Volume

9

Area of Sectors and Triangles

10

Simplifying Indices

11

Distance Time Graphs

12

Mean Problem

13

Volume of Sphere problem

14

Drawing Cumulative Frequency Graphs

15

Pie Chart Problem

16

Understanding Histograms

17

Equation of a Tangent

18

Simplifying Expressions

My Mark Max Mark

1 1 1 1 1 2 4 4 6 2 4 3 3 5 5 2 4 1

Hegarty

107 123 702 592 314 511 418 726 546 175 874 407 580 437 429 442 320 156

Page 2 of 15

Q1.

Simplify

(52)4

Circle your answer.

56

58

256

Q2. Which of these values of n makes 2.7 ? 10n a cube number?

Circle your answer.

0

1

2

Q3.

Circle the volume that is the same as 15 cm3

15 000mm3

1.5mm3

0.0015mm3

Q4.

Here is a circle.

258

(Total 1 mark)

3

(Total 1 mark)

150mm3

(Total 1 mark)

Circle the word that describes the shaded part.

segment

chord

sector

arc

(Total 1 mark)

Page 3 of 15

Q5. Work out the diameter of the circle x2 + y2 = 64

Circle your answer.

8

16

32

128

Q6. Use trigonometry to work out the size of angle x.

(Total 1 mark)

_______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________

Answer _________________________________________ degrees

(Total 2 marks)

Page 4 of 15

Q7.

Here is some information about 20 trains leaving a station.

Number of

minutes late, t 0 t < 5 5 t < 10 10 t < 15 t 15

Number of trains 12 7 1 0

Midpoint

(a) Work out an estimate of the mean number of minutes late. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ Answer _________________________________________ minutes

(3)

Page 5 of 15

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