F.2 Math Mid-yr exam 23-24

8. 4. If p and q are constants such that px² – 3 ≡ (x + 1)(px – 2q) + 5, then q =

• -8

• -4

• 4

• 8

Answer explanation

Did you include all constant terms in comparison?

Tags

CCSS.HSA.APR.B.2

5. 5. Which of the following are the factors of 64 − (x −7)^2 ?

• I and II only

• I and III only

• II and III only

• I, II and III

Answer explanation

Did you remove brackets carefully for the factor [ 8 - (x - 7)]?

Tags

CCSS.HSA.APR.C.4

10. 10. It is given that y is a real number. If y is rounded down to 3 significant figures, then

the result is 645. Find the range of values of y.

• 
• 
• 
• 

Answer explanation

Did you read the question carefully about "Rounding down"?

Tags

CCSS.5.NBT.A.4

14. 14. In the figure, ABCDEFGH is an octagon, where all the measurements are correct to the nearest cm. Let x cm^2 be the actual area of the octagon. Find the range of values of x.

• 
• 
• 
• 

Answer explanation

When upper limit is used in the calculation, it should not be included in the range.

16. 16. In a tutorial centre, 45% of the students wear glasses. It is given that 75% of the

students in the tutorial centre are girls and 30% of the girls wear glasses. If a% of the

boys in the tutorial centre wear glasses, then a =

• 15

• 35

• 50

• 90

Answer explanation

Try to let the total number of students as 1000

18. 18. In the figure, ΔABC is an equilateral triangle. AC and BD intersect at E. ∠ABD = ∠CBD and ∠ACB = ∠ACD. Which of the following must be true?

• I and II only

• I and III only

• II and III only

• I, II and III

Answer explanation

Try to find out the size of all angles in ΔBCD

Tags

CCSS.HSG.CO.C.9

22. 22. If the size of an interior angle of a regular n-sided polygon is greater than that of its exterior angle by 140 degree, which of the following is/are true?

I. The value of n is 16.

II. The size of each exterior angle of the polygon is 20 degree.

III. The size of an interior angle of the polygon is 8 times that of its exterior angle.

• I only

• II only

• I and III only

• II and III only

Answer explanation

Remember the interior angle and exterior angle of a polygon are adjacent angles on straight line?

24. 24. L is a vertical line passing through (−2, −14). If P(k, k) is reflected along L to Q, then the distance between P and Q is 12 units. Which of the following is/are the possible value(s) of k?

I. −20

II. −8

III. 4

• I only

• III only

• I and II only

• II and III only

Answer explanation

Try plot the points on the coordinate plane to visualize the picture.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5