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DSHAPE Mock Math Exam

The document is a mock mathematics examination for Level 2, consisting of various sections including Number and Algebra, Geometry and Measures, Ratio, Proportion, and Rates of Change, Data Handling and Probability, and Applied/Functional Problems. It contains a total of 80 marks and requires students to answer all questions, showing all workings clearly. The exam allows the use of calculators unless stated otherwise and includes a variety of mathematical concepts and problem-solving tasks.

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61 views4 pages

DSHAPE Mock Math Exam

The document is a mock mathematics examination for Level 2, consisting of various sections including Number and Algebra, Geometry and Measures, Ratio, Proportion, and Rates of Change, Data Handling and Probability, and Applied/Functional Problems. It contains a total of 80 marks and requires students to answer all questions, showing all workings clearly. The exam allows the use of calculators unless stated otherwise and includes a variety of mathematical concepts and problem-solving tasks.

Uploaded by

hannahvincequintos
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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DSHAPE Mathematics Mock

Examination
Level: 2
Time Allowed: 2 Hours
Total Marks: 80
Instructions:
- Answer all questions.
- Show all working clearly.
- Calculators may be used unless stated.
- Diagrams are not necessarily drawn to scale.
Section A – Number and Algebra [25 marks]
1. 1.

 a) Simplify: 3x - 5 + 2x + 9 [2]
 b) Simplify: (2x^2 - 3x) / x [2]
 c) Expand and simplify: (x + 3)(2x - 5) [2]
 d) Factorise: x^2 - 4x - 21 [2]

2. 2.

 a) Solve: 2(x + 3) = 4x - 5 [3]


 b) Solve: (3x - 2)/4 = (x + 1)/2 [3]

3. 3.

 A person invests $5000 at 4% compound interest per annum.


 a) Calculate the total amount after 3 years. [3]
 b) How much interest was earned? [1]

4. 4.

 Solve the simultaneous equations:


 2x + y = 9
 3x - y = 6 [4]

Section B – Geometry and Measures [20 marks]


5. 5.

 Triangle ABC has AB = 8 cm, AC = 6 cm and ∠A = 60°.


 a) Use the cosine rule to find BC. [3]
 b) Find the area of triangle ABC. [2]

6. 6.

 A sector of radius 7 cm has a central angle of 120°.


 a) Find the arc length. [2]
 b) Find the area of the sector. [2]

7. 7.

 The sum of interior angles of a polygon is 1440°.


 a) Find the number of sides. [2]
 b) Find one exterior angle. [2]
8. 8.

 A cone has radius 4 cm and height 9 cm.


 a) Find its volume (π = 3.14). [3]
 b) Find the slant height and surface area (excluding base). [4]

Section C – Ratio, Proportion, and Rates of Change [10 marks]


9. 9.

 a) A recipe uses flour, sugar, and butter in the ratio 4:2:1. If you use 420 g of flour, how
much sugar and butter should you use? [2]
 b) If a car travels 120 km in 1 hour and 20 minutes, what is its speed in km/h? [2]
 c) If 5 workers paint a wall in 12 hours, how many are needed to do it in 7.5 hours? [3]
 d) Convert 3.6 m² to cm². [3]

Section D – Data Handling and Probability [15 marks]


10. 10.

 The table shows the test scores of 40 students:


 Score: 10–19 | Freq: 3
 Score: 20–29 | Freq: 5
 Score: 30–39 | Freq: 10
 Score: 40–49 | Freq: 12
 Score: 50–59 | Freq: 6
 Score: 60–69 | Freq: 4
 a) Draw a histogram. [3]
 b) Estimate the mean. [4]
 c) Find the modal class. [1]
 d) Find the class interval containing the median. [2]

11. 11.

 A biased die has: P(1)=0.1, P(2)=0.15, P(3)=0.25, P(4)=0.2, P(5)=0.2, P(6)=0.1


 a) Is this a valid probability distribution? [2]
 b) Probability of an odd number? [2]
 c) Expected value of a roll? [3]

Section E – Applied/Functional Problems [10 marks]


12. 12.

 A tank is a cuboid: 2 m × 1.5 m × 1.2 m.


 a) Volume in liters? (1 m³ = 1000 L) [2]
 b) If filled at 0.25 L/s, how long to fill it? [3]

13. 13.

 Exchange rate: £1 = $1.25


 a) £560 in dollars? [1]
 b) $875 in pounds? [1]

14. 14.

 A $96 jacket has 15% discount.


 a) Discount amount? [1]
 b) Sale price? [1]
 c) Change from $100? [1]

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