30 minutes
2 marks are awarded for correct answers for questions 1 – 25. Do not guess the answers. If you do not know how to answer a question, skip it and come back later if there is time.
Rules
Rough workings can be done on plane paper. Electronic devices such as computers, calculators, smart watches and mobile phones are not allowed. Measuring or drawing instruments are not allowed.
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Question 1 of 25
1. Question
2 point(s)Questions 1 – 25: Score 2 marks for each correct answer.
9−8(7−6(5−4(3−2(1−0))))
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Question 2 of 25
2. Question
2 point(s)107×106
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Question 3 of 25
3. Question
2 point(s)Which of the following is divisible by 18?
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Question 4 of 25
4. Question
2 point(s)How many zeros are in the answer to 663663663221 ÷ 221?
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Question 5 of 25
5. Question
2 point(s)9872
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Question 6 of 25
6. Question
2 point(s)478 X 994
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Question 7 of 25
7. Question
2 point(s)When using the Vertically and Crosswise method to multiply 6734×2963 what is the result of the fouth step before any carry digits have been added?
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Question 8 of 25
8. Question
2 point(s)How many decimal digits are there in the non-recurring decimal equivalent of the fraction, 157 ? 320 -
Question 9 of 25
9. Question
2 point(s)What is the digit showing as A in the calculation, 83×87=7A21?
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Question 10 of 25
10. Question
2 point(s)What is the remainder for 256379÷12101 ?
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Question 11 of 25
11. Question
2 point(s)Which is the most suitable sutra for the calculation in the previous question?
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Question 12 of 25
12. Question
2 point(s)Each shape is made of four identical right-angled isosceles triangles. Which shape has the smallest perimeter?
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Question 13 of 25
13. Question
2 point(s)Which of the following is the equation of the straight line which passes through the point (7,−10) and and has gradient −2 ?
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Question 14 of 25
14. Question
2 point(s)Given that x2−6x+3=0 , what is the value of x+ 3 ? x -
Question 15 of 25
15. Question
2 point(s)One of the following is divisible by 47. Which is it?
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Question 16 of 25
16. Question
2 point(s)What is the last digit of 32024 ?
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Question 17 of 25
17. Question
2 point(s)A truncated icosahedron has 12 pentagon faces and 20 hexagon faces. Faces are joined along their edges.
How many edges are there?
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Question 18 of 25
18. Question
2 point(s)Which of the following is equivalent to 222 ×333 ?
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Question 19 of 25
19. Question
2 point(s)From the top of a 96 metre vertical cliff, Odysseus throws a spear at a Trojan ship and hits it at sea level. The path of the spear is modelled as,
h(x)=96+2x− x2 25 , 
where h is the height of the spear above sea level and x is the horizontal distance from the cliff.
How far from the cliff is the Trojan ship? -
Question 20 of 25
20. Question
2 point(s)In the Proportionately method for finding the cube of 32, what are the missing values, A and B?
27 18 12 8 A B -
Question 21 of 25
21. Question
2 point(s)2log3+3log2−3log6 simplified as a single log is,
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Question 22 of 25
22. Question
2 point(s)The point M lies inside a cube. Lines drawn from M to each vertex form six pyramids where the faces of the cube are the square bases of the pyramids.
Volumes of five of the pyramids are 150, 250, 300, 500 and 600 cubic units.
What is the volume of the sixth pyramid?
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Question 23 of 25
23. Question
2 point(s)Michael used a working base of 250 to calculate 246×232 , but came up with the wrong answer (912288) at the final step. What should his final step have been?
246−004 × 232−018 4) 228 072 912 288 -
Question 24 of 25
24. Question
2 point(s)What is the minimum value of x2 + y2 + 2xy + 8x + 8y + 12 ?
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Question 25 of 25
25. Question
2 point(s)The parallelogram, OABC, has area 50 square units.
The vertex C lies at (4, 6). The y-coordinate of A is -2.
What is the x-coordinate of A?
