Quarterly Unified Assessment in Mathematics

When there are no pebbles in the container, the water level is at its initial height, which is 4 ¼ cm. This is the correct answer as it represents the baseline water level without any additional volume from pebbles.

I is true because the water level rises with both pebbles. III is true as the large pebble is indeed larger than the small one. II is false as the difference in water levels is not specified. IV is not supported by the information given.

The water level rises based on the volume displaced by the pebbles. Two small pebbles and two large pebbles displace a total volume that corresponds to a water level of 16 ¾ cm, making it the correct choice.

Emily contributed 1/4 of the total amount of ₱320. To find her contribution, calculate 1/4 of 320: ₱320 ÷ 4 = ₱80. Therefore, Emily contributed ₱80.

Sarah's contribution of ₱180 represents 3/8 of the total amount. To find the total, divide ₱180 by 3/8, which is the same as multiplying by 8/3. This gives ₱180 * (8/3) = ₱360, the total amount collected.

Each friend initially contributed ₱250. To increase their contributions by ½, they need to add ₱125 (which is ½ of ₱250). Therefore, the new contribution per friend is ₱250 + ₱125 = ₱375, divided by 2 friends equals ₱150 each.

Statement I is true as the total collected can include extra funds. Statement III is also true since the remaining amount is indeed the difference between the total collected and the gift cost. Thus, the correct choice is I and III.

The statement about accommodation being greater than food is true, as it aligns with Maria's budget. The other statements do not hold true based on the given allocations.

Maria wants to allocate ¼ of her ₱20,000 savings for fun activities. To find this amount, calculate ¼ of ₱20,000: ₱20,000 ÷ 4 = ₱5,000. Therefore, she will allocate ₱5,000.

Maria's total accommodation cost is ₱4,800 for 8 nights. For ½ of her stay (4 nights), she will spend ₱4,800 ÷ 8 × 4 = ₱2,400. Thus, the correct answer is ₱2,400.